From: Peter Schaefer Date: Fri, 29 Mar 2013 13:17:35 +0000 (+0100) Subject: [doc] Code Aktualisiert X-Git-Url: https://git.leopard-lacewing.eu/?a=commitdiff_plain;h=d1092545e08875edd02c1c2c27a707689b4c00b4;p=bacc.git [doc] Code Aktualisiert [doc] Plots aktualisiert [src] "unsichtbare" Elemente werden gestrichelt --- diff --git a/doc/code.pdf b/doc/code.pdf index e2d1f36..85e7c1b 100644 Binary files a/doc/code.pdf and b/doc/code.pdf differ diff --git a/doc/code.tex b/doc/code.tex index ab7f4b3..7b0222c 100644 --- a/doc/code.tex +++ b/doc/code.tex @@ -7,6 +7,9 @@ \newcommand{\comment}[1]{} +\usepackage{xcolor} +% \selectcolormodel{gray} + \usepackage{lstings} \begin{document} diff --git a/doc/doc.pdf b/doc/doc.pdf index 125ed09..4209f33 100644 Binary files a/doc/doc.pdf and b/doc/doc.pdf differ diff --git a/doc/doc.tex b/doc/doc.tex index 5df93bb..0bb3f8e 100644 --- a/doc/doc.tex +++ b/doc/doc.tex @@ -1750,7 +1750,7 @@ Dadurch gilt auf isotropen Netzen: \subsection{Markieren} Im Adaptiven Algorithmus werden wir die Elemente abhängig vom Fehlerschätzer $\tilde \mu$ verfeinern. Dazu wählen wir mithilfe der Dörfler-Markierung \cite{dor:adapt} eine Teilmenge aus. \begin{defi}[Dörfler-Markierung] - Bestimme für feste Konstante $\theta \in (0,1)$ die Menge $M_{\ell} \subseteq T_{\ell}$ mit minimaler Kardinalität + Bestimme für feste Konstante $\theta \in (0,1]$ die Menge $M_{\ell} \subseteq T_{\ell}$ mit minimaler Kardinalität \begin{align*} \theta \sum_{T\in T_{\ell}} \tilde \mu_{\ell}(T)^2 &\leq \sum_{ T\in M_{\ell}} \tilde \mu_{\ell}(T)^2. \end{align*} @@ -1758,7 +1758,7 @@ Im Adaptiven Algorithmus werden wir die Elemente abhängig vom Fehlerschätzer $ \begin{align*} \sum_{T\in M_{\ell}} \tilde \mu_{\ell}(T)^2 - \sum_{T\in \tilde M_{\ell}} \tilde \mu_{\ell}(T)^2 / \sum_{T\in M_{\ell}} \tilde \mu_{\ell}(T)^2 &> 10^{-2}. \end{align*} -\end{defi} +\end{defi}9 Da wir im Adaptiven Algorithmus auch anisotrope Verfeinerungen zulassen werden definieren wir an dieser Stelle eine Auswahlstrategie zum bestimmen der Verfeinerungsart für jedes Element. \begin{defi} Seien $\phi_j^{(1)},\ldots, \phi_j^{(4)}$ die Lösungen der isotropen Verfeinerung $T_j^{(1)},\ldots, T_j^{(4)} \in \hat \T_{\ell}$ von $T_j \in T_{\ell}$, @@ -1779,7 +1779,7 @@ C_j^{(1)}\\ C_j^{(2)}\\C_j^{(3)}\\ C_j^{(4)} \phi_j^{(1)}\\ \phi_j^{(2)}\\\phi_j^{(3)}\\ \phi_j^{(4)} \end{pmatrix}. \end{align*} -Dann ist mit fester Konstante $\nu \in (0,1)$ die Art der Markierung $marked_j$ zu einem Element $T_j \in \tilde M_{\ell}$ bestimmt durch +Dann ist mit fester Konstante $\nu \in [0,1)$ die Art der Markierung $marked_j$ zu einem Element $T_j \in \tilde M_{\ell}$ bestimmt durch \begin{align*} marked_j := \begin{cases} % @@ -1883,7 +1883,15 @@ Mithilfe der oben Definierten Funktionen ist es uns nun möglich den Ablauf der \centering \label{fig:exmplAA_2DQuad} \subfloat[Fehler]{\includegraphics[width=0.5\textwidth]{fig/exmplAA_2DQuad_error}} -\subfloat[Energie Norm]{\includegraphics[width=0.5\textwidth]{fig/exmplAA_2DQuad_norm}} +% \subfloat[Seitenverhältnis]{\includegraphics[width=0.5\textwidth]{fig/exmplAA_2DQuad_hminmax}} +\end{figure} + +\begin{figure}[ht] +\caption{3D FichCube adaptiv anisotrop vollanalytisch $V\phi = 1$} +\centering +\label{fig:exmplAA_3DQuad} +\subfloat[Fehler]{\includegraphics[width=0.5\textwidth]{fig/1t05n05_3DFichCube_23_error}} +\subfloat[Seitenverhältnis]{\includegraphics[width=0.5\textwidth]{fig/1t05n05_3DFichCube_23_hminmax}} \end{figure} \begin{figure}[ht] diff --git a/doc/fig/1t05n05_3DFichCube_23_cond.eps b/doc/fig/1t05n05_3DFichCube_23_cond.eps new file mode 100644 index 0000000..b8c9335 --- /dev/null +++ b/doc/fig/1t05n05_3DFichCube_23_cond.eps @@ -0,0 +1,646 @@ +%!PS-Adobe-2.0 EPSF-1.2 +%%Creator: MATLAB, The MathWorks, Inc. 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control +/pgsv () def +/bpage {/pgsv save def} bdef +/epage {pgsv restore} bdef +/bplot /gsave ldef +/eplot {stroke grestore} bdef +% orientation switch +/portraitMode 0 def /landscapeMode 1 def /rotateMode 2 def +% coordinate system mappings +/dpi2point 0 def +% font control +/FontSize 0 def +/FMS {/FontSize xstore findfont [FontSize 0 0 FontSize neg 0 0] + makefont setfont} bdef +/reencode {exch dup where {pop load} {pop StandardEncoding} ifelse + exch dup 3 1 roll findfont dup length dict begin + { 1 index /FID ne {def}{pop pop} ifelse } forall + /Encoding exch def currentdict end definefont pop} bdef +/isroman {findfont /CharStrings get /Agrave known} bdef +/FMSR {3 1 roll 1 index dup isroman {reencode} {pop pop} ifelse + exch FMS} bdef +/csm {1 dpi2point div -1 dpi2point div scale neg translate + dup landscapeMode eq {pop -90 rotate} + {rotateMode eq {90 rotate} if} ifelse} bdef +% line types: solid, dotted, dashed, dotdash +/SO { [] 0 setdash } bdef +/DO { [.5 dpi2point mul 4 dpi2point mul] 0 setdash } bdef +/DA { [6 dpi2point mul] 0 setdash } bdef +/DD { [.5 dpi2point mul 4 dpi2point mul 6 dpi2point mul 4 + dpi2point mul] 0 setdash } bdef +% macros for lines and objects +/L {lineto stroke} bdef +/MP {3 1 roll moveto 1 sub {rlineto} repeat} bdef +/AP {{rlineto} repeat} bdef +/PDlw -1 def +/W {/PDlw currentlinewidth def setlinewidth} def +/PP {closepath eofill} bdef +/DP {closepath stroke} bdef +/MR {4 -2 roll moveto dup 0 exch rlineto exch 0 rlineto + neg 0 exch rlineto closepath} bdef +/FR {MR stroke} bdef +/PR {MR fill} bdef +/L1i {{currentfile picstr readhexstring pop} image} bdef +/tMatrix matrix def +/MakeOval {newpath tMatrix currentmatrix pop translate scale +0 0 1 0 360 arc tMatrix setmatrix} bdef +/FO {MakeOval stroke} bdef +/PO {MakeOval fill} bdef +/PD {currentlinewidth 2 div 0 360 arc fill + PDlw -1 eq not {PDlw w /PDlw -1 def} if} def +/FA {newpath tMatrix currentmatrix pop translate scale + 0 0 1 5 -2 roll arc tMatrix setmatrix stroke} bdef +/PA {newpath tMatrix currentmatrix pop translate 0 0 moveto scale + 0 0 1 5 -2 roll arc closepath tMatrix setmatrix fill} bdef +/FAn {newpath tMatrix currentmatrix pop translate scale + 0 0 1 5 -2 roll arcn tMatrix setmatrix stroke} bdef +/PAn {newpath tMatrix currentmatrix pop translate 0 0 moveto scale + 0 0 1 5 -2 roll arcn closepath tMatrix setmatrix fill} bdef +/vradius 0 def /hradius 0 def /lry 0 def +/lrx 0 def /uly 0 def /ulx 0 def /rad 0 def +/MRR {/vradius xdef /hradius xdef /lry xdef /lrx xdef /uly xdef + /ulx xdef newpath tMatrix currentmatrix pop ulx hradius add uly + vradius add translate hradius vradius scale 0 0 1 180 270 arc + tMatrix setmatrix lrx hradius sub uly vradius add translate + hradius vradius scale 0 0 1 270 360 arc tMatrix setmatrix + lrx hradius sub lry vradius sub translate hradius vradius scale + 0 0 1 0 90 arc tMatrix setmatrix ulx hradius add lry vradius sub + translate hradius vradius scale 0 0 1 90 180 arc tMatrix setmatrix + closepath} bdef +/FRR {MRR stroke } bdef +/PRR {MRR fill } bdef +/MlrRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lry uly sub 2 div def + newpath tMatrix currentmatrix pop ulx rad add uly rad add translate + rad rad scale 0 0 1 90 270 arc tMatrix setmatrix lrx rad sub lry rad + sub translate rad rad scale 0 0 1 270 90 arc tMatrix setmatrix + closepath} bdef +/FlrRR {MlrRR stroke } bdef +/PlrRR {MlrRR fill } bdef +/MtbRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lrx ulx sub 2 div def + newpath tMatrix currentmatrix pop ulx rad add uly rad add translate + rad rad scale 0 0 1 180 360 arc tMatrix setmatrix lrx rad sub lry rad + sub translate rad rad scale 0 0 1 0 180 arc tMatrix setmatrix + closepath} bdef +/FtbRR {MtbRR stroke } bdef +/PtbRR {MtbRR fill } bdef +/stri 6 array def /dtri 6 array def +/smat 6 array def /dmat 6 array def +/tmat1 6 array def /tmat2 6 array def /dif 3 array def +/asub {/ind2 exch def /ind1 exch def dup dup + ind1 get exch ind2 get sub exch } bdef +/tri_to_matrix { + 2 0 asub 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Version 7.14.0.739 (R2012a). Operating System: Linux 3.2.0-40-generic #63-Ubuntu SMP Wed Mar 20 17:18:21 UTC 2013 x86_64. +%%Title: ../doc/fig/1t05n05_3DFichCube_23_error.eps +%%CreationDate: 03/29/2013 14:14:50 +%%DocumentNeededFonts: Helvetica +%%DocumentProcessColors: Cyan Magenta Yellow Black +%%Extensions: CMYK +%%Pages: 1 +%%BoundingBox: 53 195 550 592 +%%EndComments + +%%BeginProlog +% MathWorks dictionary +/MathWorks 160 dict begin +% definition operators +/bdef {bind def} bind def +/ldef {load def} bind def +/xdef {exch def} bdef +/xstore {exch store} bdef +% operator abbreviations +/c /clip ldef +/cc /concat ldef +/cp /closepath ldef +/gr /grestore ldef +/gs /gsave ldef +/mt /moveto ldef +/np /newpath ldef +/cm /currentmatrix ldef +/sm /setmatrix ldef +/rm /rmoveto ldef +/rl /rlineto ldef +/s {show newpath} bdef +/sc {setcmykcolor} bdef +/sr /setrgbcolor ldef +/sg /setgray ldef +/w /setlinewidth ldef +/j /setlinejoin ldef +/cap /setlinecap ldef +/rc {rectclip} bdef +/rf {rectfill} bdef +% page state control +/pgsv () def +/bpage {/pgsv save def} bdef +/epage {pgsv restore} bdef +/bplot /gsave ldef +/eplot {stroke grestore} bdef +% orientation switch +/portraitMode 0 def /landscapeMode 1 def /rotateMode 2 def +% coordinate system mappings +/dpi2point 0 def +% font control +/FontSize 0 def +/FMS {/FontSize xstore findfont [FontSize 0 0 FontSize neg 0 0] + makefont setfont} bdef +/reencode {exch dup where {pop load} {pop StandardEncoding} ifelse + exch dup 3 1 roll findfont dup length dict begin + { 1 index /FID ne {def}{pop pop} ifelse } forall + /Encoding exch def currentdict end definefont pop} bdef +/isroman {findfont /CharStrings get /Agrave known} bdef +/FMSR {3 1 roll 1 index dup isroman {reencode} {pop pop} ifelse + exch FMS} bdef +/csm {1 dpi2point div -1 dpi2point div scale neg translate + dup landscapeMode eq {pop -90 rotate} + {rotateMode eq {90 rotate} if} ifelse} bdef +% line types: solid, dotted, dashed, dotdash +/SO { [] 0 setdash } bdef +/DO { [.5 dpi2point mul 4 dpi2point mul] 0 setdash } bdef +/DA { [6 dpi2point mul] 0 setdash } bdef +/DD { [.5 dpi2point mul 4 dpi2point mul 6 dpi2point mul 4 + dpi2point mul] 0 setdash } bdef +% macros for lines and objects +/L {lineto stroke} bdef +/MP {3 1 roll moveto 1 sub {rlineto} repeat} bdef +/AP {{rlineto} repeat} bdef +/PDlw -1 def +/W {/PDlw currentlinewidth def setlinewidth} def +/PP {closepath eofill} bdef +/DP {closepath stroke} bdef +/MR {4 -2 roll moveto dup 0 exch rlineto exch 0 rlineto + neg 0 exch rlineto closepath} bdef +/FR {MR stroke} bdef +/PR {MR fill} bdef +/L1i {{currentfile picstr readhexstring pop} image} bdef +/tMatrix matrix def +/MakeOval {newpath tMatrix currentmatrix pop translate scale +0 0 1 0 360 arc tMatrix setmatrix} bdef +/FO {MakeOval stroke} bdef +/PO {MakeOval fill} bdef +/PD {currentlinewidth 2 div 0 360 arc fill + PDlw -1 eq not {PDlw w /PDlw -1 def} if} def +/FA {newpath tMatrix currentmatrix pop translate scale + 0 0 1 5 -2 roll arc tMatrix setmatrix stroke} bdef +/PA {newpath tMatrix currentmatrix pop translate 0 0 moveto scale + 0 0 1 5 -2 roll arc closepath tMatrix setmatrix fill} bdef +/FAn {newpath tMatrix currentmatrix pop translate scale + 0 0 1 5 -2 roll arcn tMatrix setmatrix stroke} bdef +/PAn {newpath tMatrix currentmatrix pop translate 0 0 moveto scale + 0 0 1 5 -2 roll arcn closepath tMatrix setmatrix fill} bdef +/vradius 0 def /hradius 0 def /lry 0 def +/lrx 0 def /uly 0 def /ulx 0 def /rad 0 def +/MRR {/vradius xdef /hradius xdef /lry xdef /lrx xdef /uly xdef + /ulx xdef newpath tMatrix currentmatrix pop ulx hradius add uly + vradius add translate hradius vradius scale 0 0 1 180 270 arc + tMatrix setmatrix lrx hradius sub uly vradius add translate + hradius vradius scale 0 0 1 270 360 arc tMatrix setmatrix + lrx hradius sub lry vradius sub translate hradius vradius scale + 0 0 1 0 90 arc tMatrix setmatrix ulx hradius add lry vradius sub + translate hradius vradius scale 0 0 1 90 180 arc tMatrix setmatrix + closepath} bdef +/FRR {MRR stroke } bdef +/PRR {MRR fill } bdef +/MlrRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lry uly sub 2 div def + newpath tMatrix currentmatrix pop ulx rad add uly rad add translate + rad rad scale 0 0 1 90 270 arc tMatrix setmatrix lrx rad sub lry rad + sub translate rad rad scale 0 0 1 270 90 arc tMatrix setmatrix + closepath} bdef +/FlrRR {MlrRR stroke } bdef +/PlrRR {MlrRR fill } bdef +/MtbRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lrx ulx sub 2 div def + newpath tMatrix currentmatrix pop ulx rad add uly rad add translate + rad rad scale 0 0 1 180 360 arc tMatrix setmatrix lrx rad sub lry rad + sub translate rad rad scale 0 0 1 0 180 arc tMatrix setmatrix + closepath} bdef +/FtbRR {MtbRR stroke } bdef +/PtbRR {MtbRR fill } bdef +/stri 6 array def /dtri 6 array def +/smat 6 array def /dmat 6 array def +/tmat1 6 array def /tmat2 6 array def /dif 3 array def +/asub {/ind2 exch def /ind1 exch def dup dup + ind1 get exch ind2 get sub exch } bdef +/tri_to_matrix { + 2 0 asub 3 1 asub 4 0 asub 5 1 asub + dup 0 get exch 1 get 7 -1 roll astore } bdef +/compute_transform { + dmat dtri tri_to_matrix tmat1 invertmatrix + smat stri tri_to_matrix tmat2 concatmatrix } bdef +/ds {stri astore pop} bdef +/dt {dtri astore pop} bdef +/db {2 copy /cols xdef /rows xdef mul dup 3 mul string + currentfile exch readhexstring pop + dup 0 3 index getinterval /rbmap xdef + dup 2 index dup getinterval /gbmap xdef + 1 index dup 2 mul exch getinterval /bbmap xdef pop pop}bdef +/it {gs np dtri aload pop moveto lineto lineto cp c + cols rows 8 compute_transform + rbmap gbmap bbmap true 3 colorimage gr}bdef +/il {newpath moveto lineto stroke}bdef +currentdict end def +%%EndProlog + +%%BeginSetup +MathWorks begin + +0 cap + +end +%%EndSetup + +%%Page: 1 1 +%%BeginPageSetup +%%PageBoundingBox: 53 195 550 592 +MathWorks begin +bpage +%%EndPageSetup + +%%BeginObject: obj1 +bplot + +/dpi2point 8.33333 def +portraitMode 0150 5100 csm + + 294 165 4145 3302 MR c np +81 dict begin %Colortable 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control +/pgsv () def +/bpage {/pgsv save def} bdef +/epage {pgsv restore} bdef +/bplot /gsave ldef +/eplot {stroke grestore} bdef +% orientation switch +/portraitMode 0 def /landscapeMode 1 def /rotateMode 2 def +% coordinate system mappings +/dpi2point 0 def +% font control +/FontSize 0 def +/FMS {/FontSize xstore findfont [FontSize 0 0 FontSize neg 0 0] + makefont setfont} bdef +/reencode {exch dup where {pop load} {pop StandardEncoding} ifelse + exch dup 3 1 roll findfont dup length dict begin + { 1 index /FID ne {def}{pop pop} ifelse } forall + /Encoding exch def currentdict end definefont pop} bdef +/isroman {findfont /CharStrings get /Agrave known} bdef +/FMSR {3 1 roll 1 index dup isroman {reencode} {pop pop} ifelse + exch FMS} bdef +/csm {1 dpi2point div -1 dpi2point div scale neg translate + dup landscapeMode eq {pop -90 rotate} + {rotateMode eq {90 rotate} if} ifelse} bdef +% line types: solid, dotted, dashed, dotdash +/SO { [] 0 setdash } bdef +/DO { [.5 dpi2point mul 4 dpi2point mul] 0 setdash } bdef +/DA { [6 dpi2point mul] 0 setdash } bdef +/DD { [.5 dpi2point mul 4 dpi2point mul 6 dpi2point mul 4 + dpi2point mul] 0 setdash } bdef +% macros for lines and objects +/L {lineto stroke} bdef +/MP {3 1 roll moveto 1 sub {rlineto} repeat} bdef +/AP {{rlineto} repeat} bdef +/PDlw -1 def +/W {/PDlw currentlinewidth def setlinewidth} def +/PP {closepath eofill} bdef +/DP {closepath stroke} bdef +/MR {4 -2 roll moveto dup 0 exch rlineto exch 0 rlineto + neg 0 exch rlineto closepath} bdef +/FR {MR stroke} bdef +/PR {MR fill} bdef +/L1i {{currentfile picstr readhexstring pop} image} bdef +/tMatrix matrix def +/MakeOval {newpath tMatrix currentmatrix pop translate scale +0 0 1 0 360 arc tMatrix setmatrix} bdef +/FO {MakeOval stroke} bdef +/PO {MakeOval fill} bdef +/PD {currentlinewidth 2 div 0 360 arc fill + PDlw -1 eq not {PDlw w /PDlw -1 def} if} def +/FA {newpath tMatrix currentmatrix pop translate scale + 0 0 1 5 -2 roll arc tMatrix setmatrix stroke} bdef +/PA {newpath tMatrix currentmatrix pop translate 0 0 moveto scale + 0 0 1 5 -2 roll arc closepath tMatrix setmatrix fill} bdef +/FAn {newpath tMatrix currentmatrix pop translate scale + 0 0 1 5 -2 roll arcn tMatrix setmatrix stroke} bdef +/PAn {newpath tMatrix currentmatrix pop translate 0 0 moveto scale + 0 0 1 5 -2 roll arcn closepath tMatrix setmatrix fill} bdef +/vradius 0 def /hradius 0 def /lry 0 def +/lrx 0 def /uly 0 def /ulx 0 def /rad 0 def +/MRR {/vradius xdef /hradius xdef /lry xdef /lrx xdef /uly xdef + /ulx xdef newpath tMatrix currentmatrix pop ulx hradius add uly + vradius add translate hradius vradius scale 0 0 1 180 270 arc + tMatrix setmatrix lrx hradius sub uly vradius add translate + hradius vradius scale 0 0 1 270 360 arc tMatrix setmatrix + lrx hradius sub lry vradius sub translate hradius vradius scale + 0 0 1 0 90 arc tMatrix setmatrix ulx hradius add lry vradius sub + translate hradius vradius scale 0 0 1 90 180 arc tMatrix setmatrix + closepath} bdef +/FRR {MRR stroke } bdef +/PRR {MRR fill } bdef +/MlrRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lry uly sub 2 div def + newpath tMatrix currentmatrix pop ulx rad add uly rad add translate + rad rad scale 0 0 1 90 270 arc tMatrix setmatrix lrx rad sub lry rad + sub translate rad rad scale 0 0 1 270 90 arc tMatrix setmatrix + closepath} bdef +/FlrRR {MlrRR stroke } bdef +/PlrRR {MlrRR fill } bdef +/MtbRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lrx ulx sub 2 div def + newpath tMatrix currentmatrix pop ulx rad add uly rad add translate + rad rad scale 0 0 1 180 360 arc tMatrix setmatrix lrx rad sub lry rad + sub translate rad rad scale 0 0 1 0 180 arc tMatrix setmatrix + closepath} bdef +/FtbRR {MtbRR stroke } bdef +/PtbRR {MtbRR fill } bdef +/stri 6 array def /dtri 6 array def +/smat 6 array def /dmat 6 array def +/tmat1 6 array def /tmat2 6 array def /dif 3 array def +/asub {/ind2 exch def /ind1 exch def dup dup + ind1 get exch ind2 get sub exch } bdef +/tri_to_matrix { + 2 0 asub 3 1 asub 4 0 asub 5 1 asub + dup 0 get exch 1 get 7 -1 roll astore } bdef +/compute_transform { + dmat dtri tri_to_matrix tmat1 invertmatrix + smat stri tri_to_matrix tmat2 concatmatrix } bdef +/ds {stri astore pop} bdef +/dt {dtri astore pop} bdef +/db {2 copy /cols xdef /rows xdef mul dup 3 mul string + currentfile exch readhexstring pop + dup 0 3 index getinterval /rbmap xdef + dup 2 index dup getinterval /gbmap xdef + 1 index dup 2 mul exch getinterval /bbmap xdef pop pop}bdef +/it {gs np dtri aload pop moveto lineto lineto cp c + cols rows 8 compute_transform + rbmap gbmap bbmap true 3 colorimage gr}bdef +/il {newpath moveto lineto stroke}bdef +currentdict end def +%%EndProlog + +%%BeginSetup +MathWorks begin + +0 cap + +end +%%EndSetup + +%%Page: 1 1 +%%BeginPageSetup +%%PageBoundingBox: 53 195 550 592 +MathWorks begin +bpage +%%EndPageSetup + +%%BeginObject: obj1 +bplot + +/dpi2point 8.33333 def +portraitMode 0150 5100 csm + + 294 165 4145 3302 MR c np +80 dict begin %Colortable 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Operating System: Linux 3.2.0-40-generic #63-Ubuntu SMP Wed Mar 20 17:18:21 UTC 2013 x86_64. +%%Title: ../doc/fig/1t05n05_3DFichCube_23_norm.eps +%%CreationDate: 03/29/2013 14:14:50 +%%DocumentNeededFonts: Helvetica +%%DocumentProcessColors: Cyan Magenta Yellow Black +%%Extensions: CMYK +%%Pages: 1 +%%BoundingBox: 41 195 550 591 +%%EndComments + +%%BeginProlog +% MathWorks dictionary +/MathWorks 160 dict begin +% definition operators +/bdef {bind def} bind def +/ldef {load def} bind def +/xdef {exch def} bdef +/xstore {exch store} bdef +% operator abbreviations +/c /clip ldef +/cc /concat ldef +/cp /closepath ldef +/gr /grestore ldef +/gs /gsave ldef +/mt /moveto ldef +/np /newpath ldef +/cm /currentmatrix ldef +/sm /setmatrix ldef +/rm /rmoveto ldef +/rl /rlineto ldef +/s {show newpath} bdef +/sc {setcmykcolor} bdef +/sr /setrgbcolor ldef +/sg /setgray ldef +/w /setlinewidth ldef +/j /setlinejoin ldef +/cap /setlinecap ldef +/rc {rectclip} bdef +/rf {rectfill} bdef +% page state control +/pgsv () def +/bpage {/pgsv save def} bdef +/epage {pgsv restore} bdef +/bplot /gsave ldef +/eplot {stroke grestore} bdef +% orientation switch +/portraitMode 0 def /landscapeMode 1 def /rotateMode 2 def +% coordinate system mappings +/dpi2point 0 def +% font control +/FontSize 0 def +/FMS {/FontSize xstore findfont [FontSize 0 0 FontSize neg 0 0] + makefont setfont} bdef +/reencode {exch dup where {pop load} {pop StandardEncoding} ifelse + exch dup 3 1 roll findfont dup length dict begin + { 1 index /FID ne {def}{pop pop} ifelse } forall + /Encoding exch def currentdict end definefont pop} bdef +/isroman {findfont /CharStrings get /Agrave known} bdef +/FMSR {3 1 roll 1 index dup isroman {reencode} {pop pop} ifelse + exch FMS} bdef +/csm {1 dpi2point div -1 dpi2point div scale neg translate + dup landscapeMode eq {pop -90 rotate} + {rotateMode eq {90 rotate} if} ifelse} bdef +% line types: solid, dotted, dashed, dotdash +/SO { [] 0 setdash } bdef +/DO { [.5 dpi2point mul 4 dpi2point mul] 0 setdash } bdef +/DA { [6 dpi2point mul] 0 setdash } bdef +/DD { [.5 dpi2point mul 4 dpi2point mul 6 dpi2point mul 4 + dpi2point mul] 0 setdash } bdef +% macros for lines and objects +/L {lineto stroke} bdef +/MP {3 1 roll moveto 1 sub {rlineto} repeat} bdef +/AP {{rlineto} repeat} bdef +/PDlw -1 def +/W {/PDlw currentlinewidth def setlinewidth} def +/PP {closepath eofill} bdef +/DP {closepath stroke} bdef +/MR {4 -2 roll moveto dup 0 exch rlineto exch 0 rlineto + neg 0 exch rlineto closepath} bdef +/FR {MR stroke} bdef +/PR {MR fill} bdef +/L1i {{currentfile picstr readhexstring pop} image} bdef +/tMatrix matrix def +/MakeOval {newpath tMatrix currentmatrix pop translate scale +0 0 1 0 360 arc tMatrix setmatrix} bdef +/FO {MakeOval stroke} bdef +/PO {MakeOval fill} bdef +/PD {currentlinewidth 2 div 0 360 arc fill + PDlw -1 eq not {PDlw w /PDlw -1 def} if} def +/FA {newpath tMatrix currentmatrix pop translate scale + 0 0 1 5 -2 roll arc tMatrix setmatrix stroke} bdef +/PA {newpath tMatrix currentmatrix pop translate 0 0 moveto scale + 0 0 1 5 -2 roll arc closepath tMatrix setmatrix fill} bdef +/FAn {newpath tMatrix currentmatrix pop translate scale + 0 0 1 5 -2 roll arcn tMatrix setmatrix stroke} bdef +/PAn {newpath tMatrix currentmatrix pop translate 0 0 moveto scale + 0 0 1 5 -2 roll arcn closepath tMatrix setmatrix fill} bdef +/vradius 0 def /hradius 0 def /lry 0 def +/lrx 0 def /uly 0 def /ulx 0 def /rad 0 def +/MRR {/vradius xdef /hradius xdef /lry xdef /lrx xdef /uly xdef + /ulx xdef newpath tMatrix currentmatrix pop ulx hradius add uly + vradius add translate hradius vradius scale 0 0 1 180 270 arc + tMatrix setmatrix lrx hradius sub uly vradius add translate + hradius vradius scale 0 0 1 270 360 arc tMatrix setmatrix + lrx hradius sub lry vradius sub translate hradius vradius scale + 0 0 1 0 90 arc tMatrix setmatrix ulx hradius add lry vradius sub + translate hradius vradius scale 0 0 1 90 180 arc tMatrix setmatrix + closepath} bdef +/FRR {MRR stroke } bdef +/PRR {MRR fill } bdef +/MlrRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lry uly sub 2 div def + newpath tMatrix currentmatrix pop ulx rad add uly rad add translate + rad rad scale 0 0 1 90 270 arc tMatrix setmatrix lrx rad sub lry rad + sub translate rad rad scale 0 0 1 270 90 arc tMatrix setmatrix + closepath} bdef +/FlrRR {MlrRR stroke } bdef +/PlrRR {MlrRR fill } bdef +/MtbRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lrx ulx sub 2 div def + newpath tMatrix currentmatrix pop ulx rad add uly rad add translate + rad rad scale 0 0 1 180 360 arc tMatrix setmatrix lrx rad sub lry rad + sub translate rad rad scale 0 0 1 0 180 arc tMatrix setmatrix + closepath} bdef +/FtbRR {MtbRR stroke } bdef +/PtbRR {MtbRR fill } bdef +/stri 6 array def /dtri 6 array def +/smat 6 array def /dmat 6 array def +/tmat1 6 array def /tmat2 6 array def /dif 3 array def +/asub {/ind2 exch def /ind1 exch def dup dup + ind1 get exch ind2 get sub exch } bdef +/tri_to_matrix { + 2 0 asub 3 1 asub 4 0 asub 5 1 asub + dup 0 get exch 1 get 7 -1 roll astore } bdef +/compute_transform { + dmat dtri tri_to_matrix tmat1 invertmatrix + smat stri tri_to_matrix tmat2 concatmatrix } bdef +/ds {stri astore pop} bdef +/dt {dtri astore pop} bdef +/db {2 copy /cols xdef /rows xdef mul dup 3 mul string + currentfile exch readhexstring pop + dup 0 3 index getinterval /rbmap xdef + dup 2 index dup getinterval /gbmap xdef + 1 index dup 2 mul exch getinterval /bbmap xdef pop pop}bdef +/it {gs np dtri aload pop moveto lineto lineto cp c + cols rows 8 compute_transform + rbmap gbmap bbmap true 3 colorimage gr}bdef +/il {newpath moveto lineto stroke}bdef +currentdict end def +%%EndProlog + +%%BeginSetup +MathWorks begin + +0 cap + +end +%%EndSetup + +%%Page: 1 1 +%%BeginPageSetup +%%PageBoundingBox: 41 195 550 591 +MathWorks begin +bpage +%%EndPageSetup + +%%BeginObject: obj1 +bplot + +/dpi2point 8.33333 def +portraitMode 0150 5100 csm + + 192 173 4247 3294 MR c np +82 dict begin %Colortable dictionary +/c0 { 0.000000 0.000000 0.000000 sr} bdef +/c1 { 1.000000 1.000000 1.000000 sr} bdef +/c2 { 0.900000 0.000000 0.000000 sr} bdef +/c3 { 0.000000 0.820000 0.000000 sr} bdef +/c4 { 0.000000 0.000000 0.800000 sr} bdef +/c5 { 0.910000 0.820000 0.320000 sr} bdef +/c6 { 1.000000 0.260000 0.820000 sr} bdef +/c7 { 0.000000 0.820000 0.820000 sr} bdef +c0 +1 j +1 sg + 0 0 4801 3603 PR +4.16667 w +0 2936 3720 0 0 -2936 624 3206 4 MP +PP +-3720 0 0 2936 3720 0 0 -2936 624 3206 5 MP stroke +2.77778 w +DO +SO +4.16667 w +0 sg + 624 3206 mt 4344 3206 L + 624 270 mt 4344 270 L + 624 3206 mt 624 270 L +4344 3206 mt 4344 270 L + 624 3206 mt 4344 3206 L + 624 3206 mt 624 270 L + 624 3206 mt 624 3187 L + 624 270 mt 624 288 L + 624 3206 mt 624 3168 L + 624 270 mt 624 307 L +%%IncludeResource: font Helvetica +/Helvetica /ISOLatin1Encoding 83.3333 FMSR + + 563 3332 mt +(10) s +%%IncludeResource: font Helvetica +/Helvetica /ISOLatin1Encoding 55.5556 FMSR + + 655 3281 mt +(1) s + 997 3206 mt 997 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2983 3187 L +2983 270 mt 2983 288 L +3047 3206 mt 3047 3187 L +3047 270 mt 3047 288 L +3104 3206 mt 3104 3187 L +3104 270 mt 3104 288 L +3104 3206 mt 3104 3168 L +3104 270 mt 3104 307 L +%%IncludeResource: font Helvetica +/Helvetica /ISOLatin1Encoding 83.3333 FMSR + +3043 3332 mt +(10) s +%%IncludeResource: font Helvetica +/Helvetica /ISOLatin1Encoding 55.5556 FMSR + +3135 3281 mt +(3) s +3477 3206 mt 3477 3187 L +3477 270 mt 3477 288 L +3695 3206 mt 3695 3187 L +3695 270 mt 3695 288 L +3850 3206 mt 3850 3187 L +3850 270 mt 3850 288 L +3970 3206 mt 3970 3187 L +3970 270 mt 3970 288 L +4068 3206 mt 4068 3187 L +4068 270 mt 4068 288 L +4151 3206 mt 4151 3187 L +4151 270 mt 4151 288 L +4223 3206 mt 4223 3187 L +4223 270 mt 4223 288 L +4287 3206 mt 4287 3187 L +4287 270 mt 4287 288 L +4344 3206 mt 4344 3187 L +4344 270 mt 4344 288 L +4344 3206 mt 4344 3168 L +4344 270 mt 4344 307 L +%%IncludeResource: font Helvetica +/Helvetica /ISOLatin1Encoding 83.3333 FMSR + +4283 3332 mt +(10) s 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%%Color Dict + +eplot +%%EndObject + +epage +end + +showpage + +%%Trailer +%%EOF diff --git a/doc/fig/1t05n05_3DFichCube_23_time.eps b/doc/fig/1t05n05_3DFichCube_23_time.eps new file mode 100644 index 0000000..61b01a0 --- /dev/null +++ b/doc/fig/1t05n05_3DFichCube_23_time.eps @@ -0,0 +1,586 @@ +%!PS-Adobe-2.0 EPSF-1.2 +%%Creator: MATLAB, The MathWorks, Inc. Version 7.14.0.739 (R2012a). Operating System: Linux 3.2.0-40-generic #63-Ubuntu SMP Wed Mar 20 17:18:21 UTC 2013 x86_64. +%%Title: ../doc/fig/1t05n05_3DFichCube_23_time.eps +%%CreationDate: 03/29/2013 14:14:51 +%%DocumentNeededFonts: Helvetica +%%DocumentProcessColors: Cyan Magenta Yellow Black +%%Extensions: CMYK +%%Pages: 1 +%%BoundingBox: 53 195 550 592 +%%EndComments + +%%BeginProlog +% MathWorks dictionary +/MathWorks 160 dict begin +% definition operators +/bdef {bind def} bind def +/ldef {load def} bind def +/xdef {exch def} bdef +/xstore {exch store} bdef +% operator abbreviations +/c /clip ldef +/cc /concat ldef +/cp /closepath ldef +/gr /grestore ldef +/gs /gsave ldef +/mt /moveto ldef +/np /newpath ldef +/cm /currentmatrix ldef +/sm /setmatrix ldef +/rm /rmoveto ldef +/rl /rlineto ldef +/s {show newpath} bdef +/sc {setcmykcolor} bdef +/sr /setrgbcolor ldef +/sg /setgray ldef +/w /setlinewidth ldef +/j /setlinejoin ldef +/cap /setlinecap ldef +/rc {rectclip} bdef +/rf {rectfill} bdef +% page state control +/pgsv () def +/bpage {/pgsv save def} bdef +/epage {pgsv restore} bdef +/bplot /gsave ldef +/eplot {stroke grestore} bdef +% orientation switch +/portraitMode 0 def /landscapeMode 1 def /rotateMode 2 def +% coordinate system mappings +/dpi2point 0 def +% font control +/FontSize 0 def +/FMS {/FontSize xstore findfont [FontSize 0 0 FontSize neg 0 0] + makefont setfont} bdef +/reencode {exch dup where {pop load} {pop StandardEncoding} ifelse + exch dup 3 1 roll findfont dup length dict begin + { 1 index /FID ne {def}{pop pop} ifelse } forall + /Encoding exch def currentdict end definefont pop} bdef +/isroman {findfont /CharStrings get /Agrave known} bdef +/FMSR {3 1 roll 1 index dup isroman {reencode} {pop pop} ifelse + exch FMS} bdef +/csm {1 dpi2point div -1 dpi2point div scale neg translate + dup landscapeMode eq {pop -90 rotate} + {rotateMode eq {90 rotate} if} ifelse} bdef +% line types: solid, dotted, dashed, dotdash +/SO { [] 0 setdash } bdef +/DO { [.5 dpi2point mul 4 dpi2point mul] 0 setdash } bdef +/DA { [6 dpi2point mul] 0 setdash } bdef +/DD { [.5 dpi2point mul 4 dpi2point mul 6 dpi2point mul 4 + dpi2point mul] 0 setdash } bdef +% macros for lines and objects +/L {lineto stroke} bdef +/MP {3 1 roll moveto 1 sub {rlineto} repeat} bdef +/AP {{rlineto} repeat} bdef +/PDlw -1 def +/W {/PDlw currentlinewidth def setlinewidth} def +/PP {closepath eofill} bdef +/DP {closepath stroke} bdef +/MR {4 -2 roll moveto dup 0 exch rlineto exch 0 rlineto + neg 0 exch rlineto closepath} bdef +/FR {MR stroke} bdef +/PR {MR fill} bdef +/L1i {{currentfile picstr readhexstring pop} image} bdef +/tMatrix matrix def +/MakeOval {newpath tMatrix currentmatrix pop translate scale +0 0 1 0 360 arc tMatrix setmatrix} bdef +/FO {MakeOval stroke} bdef +/PO {MakeOval fill} bdef +/PD {currentlinewidth 2 div 0 360 arc fill + PDlw -1 eq not {PDlw w /PDlw -1 def} if} def +/FA {newpath tMatrix currentmatrix pop translate scale + 0 0 1 5 -2 roll arc tMatrix setmatrix stroke} bdef +/PA {newpath tMatrix currentmatrix pop translate 0 0 moveto scale + 0 0 1 5 -2 roll arc closepath tMatrix setmatrix fill} bdef +/FAn {newpath tMatrix currentmatrix pop translate scale + 0 0 1 5 -2 roll arcn tMatrix setmatrix stroke} bdef +/PAn {newpath tMatrix currentmatrix pop translate 0 0 moveto scale + 0 0 1 5 -2 roll arcn closepath tMatrix setmatrix fill} bdef +/vradius 0 def /hradius 0 def /lry 0 def +/lrx 0 def /uly 0 def /ulx 0 def /rad 0 def +/MRR {/vradius xdef /hradius xdef /lry xdef /lrx xdef /uly xdef + /ulx xdef newpath tMatrix currentmatrix pop ulx hradius add uly + vradius add translate hradius vradius scale 0 0 1 180 270 arc + tMatrix setmatrix lrx hradius sub uly vradius add translate + hradius vradius scale 0 0 1 270 360 arc tMatrix setmatrix + lrx hradius sub lry vradius sub translate hradius vradius scale + 0 0 1 0 90 arc tMatrix setmatrix ulx hradius add lry vradius sub + translate hradius vradius scale 0 0 1 90 180 arc tMatrix setmatrix + closepath} bdef +/FRR {MRR stroke } bdef +/PRR {MRR fill } bdef +/MlrRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lry uly sub 2 div def + newpath tMatrix currentmatrix pop ulx rad add uly rad add translate + rad rad scale 0 0 1 90 270 arc tMatrix setmatrix lrx rad sub lry rad + sub translate rad rad scale 0 0 1 270 90 arc tMatrix setmatrix + closepath} bdef +/FlrRR {MlrRR stroke } bdef +/PlrRR {MlrRR fill } bdef +/MtbRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lrx ulx sub 2 div def + newpath tMatrix currentmatrix pop ulx rad add uly rad add translate + rad rad scale 0 0 1 180 360 arc tMatrix setmatrix lrx rad sub lry rad + sub translate rad rad scale 0 0 1 0 180 arc tMatrix setmatrix + closepath} bdef +/FtbRR {MtbRR stroke } bdef +/PtbRR {MtbRR fill } bdef +/stri 6 array def /dtri 6 array def +/smat 6 array def /dmat 6 array def +/tmat1 6 array def /tmat2 6 array def /dif 3 array def +/asub {/ind2 exch def /ind1 exch def dup dup + ind1 get exch ind2 get sub exch } bdef +/tri_to_matrix { + 2 0 asub 3 1 asub 4 0 asub 5 1 asub + dup 0 get exch 1 get 7 -1 roll astore } bdef +/compute_transform { + dmat dtri tri_to_matrix tmat1 invertmatrix + smat stri tri_to_matrix tmat2 concatmatrix } bdef +/ds {stri astore pop} bdef +/dt {dtri astore pop} bdef +/db {2 copy /cols xdef /rows xdef mul dup 3 mul string + currentfile exch readhexstring pop + dup 0 3 index getinterval /rbmap xdef + dup 2 index dup getinterval /gbmap xdef + 1 index dup 2 mul exch getinterval /bbmap xdef pop pop}bdef +/it {gs np dtri aload pop moveto lineto lineto cp c + cols rows 8 compute_transform + rbmap gbmap bbmap true 3 colorimage gr}bdef +/il {newpath moveto lineto stroke}bdef +currentdict end def +%%EndProlog + +%%BeginSetup +MathWorks begin + +0 cap + +end +%%EndSetup + +%%Page: 1 1 +%%BeginPageSetup +%%PageBoundingBox: 53 195 550 592 +MathWorks begin +bpage +%%EndPageSetup + +%%BeginObject: obj1 +bplot + +/dpi2point 8.33333 def +portraitMode 0150 5100 csm + + 294 165 4145 3302 MR c np +82 dict begin %Colortable 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MP stroke +gs 1044 424 3259 2741 MR c np + 25 25 1095 2821 FO + 25 25 1623 3113 FO + 25 25 1858 2974 FO + 25 25 2103 2782 FO + 25 25 2245 2687 FO + 25 25 2464 2569 FO + 25 25 2584 2472 FO + 25 25 2736 2314 FO + 25 25 2850 2166 FO + 25 25 2981 1994 FO + 25 25 3078 1870 FO + 25 25 3170 1754 FO + 25 25 3269 1631 FO + 25 25 3342 1543 FO + 25 25 3448 1415 FO + 25 25 3530 1319 FO + 25 25 3635 1196 FO + 25 25 3727 1089 FO + 25 25 3840 956 FO + 25 25 3966 808 FO + 25 25 4082 672 FO + 25 25 4222 509 FO + 25 25 4251 475 FO +gr + +gr + +c8 +0 sg +%%IncludeResource: font Helvetica +/Helvetica /ISOLatin1Encoding 83.3333 FMSR + +2307 3432 mt +(Elemente) s + 388 1927 mt -90 rotate +(Sekunden) s +90 rotate + 612 3237 mt +( ) s +4333 300 mt +( ) s +1 sg +0 131 894 0 0 -131 665 443 4 MP +PP +-894 0 0 131 894 0 0 -131 665 443 5 MP stroke +2.77778 w +DO +SO +4.16667 w +0 sg + 665 443 mt 1559 443 L + 665 443 mt 665 312 L + 980 408 mt +(Zeit 1t05n05 A) s +gs 665 312 895 132 MR c np +c8 +242 0 713 377 2 MP 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Operating System: Linux 3.2.0-40-generic #63-Ubuntu SMP Wed Mar 20 17:18:21 UTC 2013 x86_64. %%Title: ../doc/fig/exmpl_2DQuad_ref.eps -%%CreationDate: 03/21/2013 23:08:03 +%%CreationDate: 03/29/2013 14:14:49 %%DocumentNeededFonts: Helvetica %%DocumentProcessColors: Cyan Magenta Yellow Black %%Extensions: CMYK @@ -170,7 +170,7 @@ bplot portraitMode 0150 5100 csm 334 236 4045 3206 MR c np -86 dict begin %Colortable dictionary +84 dict begin %Colortable dictionary /c0 { 0.000000 0.000000 0.000000 sr} bdef /c1 { 1.000000 1.000000 1.000000 sr} bdef /c2 { 0.900000 0.000000 0.000000 sr} bdef diff --git a/doc/fig/exmpl_3DCube_ref.eps b/doc/fig/exmpl_3DCube_ref.eps index 8c39e15..b02475a 100644 --- a/doc/fig/exmpl_3DCube_ref.eps +++ b/doc/fig/exmpl_3DCube_ref.eps @@ -1,7 +1,7 @@ %!PS-Adobe-2.0 EPSF-1.2 -%%Creator: MATLAB, The MathWorks, Inc. Version 7.14.0.739 (R2012a). Operating System: Linux 3.2.0-39-generic #62-Ubuntu SMP Thu Feb 28 00:28:53 UTC 2013 x86_64. +%%Creator: MATLAB, The MathWorks, Inc. Version 7.14.0.739 (R2012a). Operating System: Linux 3.2.0-40-generic #63-Ubuntu SMP Wed Mar 20 17:18:21 UTC 2013 x86_64. %%Title: ../doc/fig/exmpl_3DCube_ref.eps -%%CreationDate: 03/21/2013 23:08:03 +%%CreationDate: 03/29/2013 14:14:49 %%DocumentNeededFonts: Helvetica %%DocumentProcessColors: Cyan Magenta Yellow Black %%Extensions: CMYK @@ -170,7 +170,7 @@ bplot portraitMode 0150 5100 csm 286 236 4092 3188 MR c np -86 dict begin %Colortable dictionary +85 dict begin %Colortable dictionary /c0 { 0.000000 0.000000 0.000000 sr} bdef /c1 { 1.000000 1.000000 1.000000 sr} bdef /c2 { 0.900000 0.000000 0.000000 sr} bdef @@ -259,6 +259,7 @@ SO 506 972 mt (1) s gs 623 269 3721 2937 MR c np +DO 8.33333 w /c8 { 0.000000 0.400000 0.400000 sr} bdef c8 @@ -267,13 +268,18 @@ c8 4033 1133 mt 4033 1810 L 4033 2486 mt 3361 2176 L 4033 1810 mt 4033 2486 L +SO 4033 1810 mt 4033 1133 L +DO 3361 824 mt 3361 1500 L 3361 1500 mt 3361 824 L +SO 4033 1133 mt 3156 1371 L 4033 2486 mt 4033 1810 L +DO 3361 2176 mt 3361 1500 L 3361 1500 mt 3361 2176 L +SO 4033 1810 mt 3156 2047 L 4033 1133 mt 3361 824 L gr @@ -288,16 +294,18 @@ c9 (19) s 4011 1127 mt (20) s -0 sg +0.6 sg 3697 1347 mt (\(4\)) s 3697 2023 mt (\(16\)) s +0 sg 3595 1620 mt (\(21\)) s 3595 2296 mt (\(23\)) s gs 623 269 3721 2937 MR c np +DO c8 3361 2176 mt 4033 2486 L 3361 824 mt 4033 1133 L @@ -305,9 +313,12 @@ c8 3361 1500 mt 2688 1190 L 3361 2176 mt 2688 1866 L 3361 1500 mt 4033 1810 L +SO 3361 824 mt 2688 514 L +DO 2688 514 mt 2688 1190 L 2688 1190 mt 2688 514 L +SO 3361 824 mt 2483 1061 L gr @@ -319,24 +330,33 @@ c9 (22) s 3338 817 mt (23) s -0 sg +0.6 sg 3258 2480 mt (\(1\)) s +0 sg 3258 1127 mt (\(24\)) s 3194 3389 mt (x) s gs 623 269 3721 2937 MR c np +DO c8 3156 2723 mt 2483 2414 L +SO 3156 2047 mt 3156 1371 L +DO 2688 1190 mt 3361 1500 L 2688 1866 mt 2688 1190 L 2688 1190 mt 2688 1866 L +SO 3156 1371 mt 2279 1609 L +DO 3156 2723 mt 2279 2961 L +SO 3156 2723 mt 3156 2047 L +DO 2688 1866 mt 3361 2176 L +SO 3156 2047 mt 2279 2285 L 3156 1371 mt 2483 1061 L 3156 2047 mt 4033 1810 L @@ -354,20 +374,23 @@ c9 (11) s 3134 1364 mt (12) s -0 sg +0.6 sg 3024 1037 mt (\(14\)) s 3024 1713 mt (\(15\)) s +0 sg 2718 1858 mt (\(2\)) s 2718 2534 mt (\(10\)) s gs 623 269 3721 2937 MR c np +DO c8 2688 1866 mt 1811 2104 L 2688 514 mt 3361 824 L 2688 1190 mt 1811 1428 L +SO 2688 514 mt 1811 752 L gr @@ -379,20 +402,25 @@ c9 (25) s 2665 507 mt (26) s -0 sg +0.6 sg 2586 2170 mt (\(7\)) s +0 sg 2586 818 mt (\(22\)) s gs 623 269 3721 2937 MR c np +DO c8 2483 2414 mt 3361 2176 L +SO 2483 1061 mt 1811 752 L +DO 2483 2414 mt 1811 2104 L 2483 2414 mt 1606 2651 L 2483 2414 mt 3156 2723 L 1811 752 mt 1811 1428 L 1811 1428 mt 1811 752 L +SO 2483 1061 mt 1606 1299 L 2483 1061 mt 3361 824 L 2483 1061 mt 3156 1371 L @@ -404,25 +432,32 @@ c9 (13) s 2461 1055 mt (14) s -0 sg +0.6 sg 2381 2717 mt (\(9\)) s +0 sg 2381 1365 mt (\(20\)) s gs 623 269 3721 2937 MR c np c8 2279 2285 mt 3156 2047 L 2279 1609 mt 2279 2285 L +DO 2279 2961 mt 1606 2651 L +SO 2279 2961 mt 3156 2723 L 2279 2285 mt 2279 2961 L 2279 2285 mt 2279 1609 L +DO 1811 1428 mt 2688 1190 L +SO 2279 1609 mt 1606 1299 L 2279 2961 mt 2279 2285 L +DO 1811 1428 mt 1811 2104 L 1811 2104 mt 2688 1866 L 1811 2104 mt 1811 1428 L +SO 2279 2285 mt 1606 1975 L 2279 1609 mt 3156 1371 L gr @@ -435,22 +470,27 @@ c9 (2) s 2257 1602 mt (3) s -0 sg +0.6 sg 2249 1677 mt (\(5\)) s 2249 1001 mt (\(17\)) s +0 sg 1943 1822 mt (\(12\)) s 1943 2498 mt (\(13\)) s gs 623 269 3721 2937 MR c np +DO +SO c8 1811 752 mt 933 989 L +DO 1811 2104 mt 2483 2414 L 1811 752 mt 2688 514 L 1811 1428 mt 933 1665 L 1811 2104 mt 933 2342 L +SO 1811 752 mt 2483 1061 L gr @@ -465,6 +505,7 @@ c9 0 sg 1708 1055 mt (\(6\)) s +0.6 sg 1708 2408 mt (\(8\)) s gs 623 269 3721 2937 MR c np @@ -472,8 +513,10 @@ c8 1606 2651 mt 1606 1975 L 1606 1975 mt 933 1665 L 1606 1299 mt 2483 1061 L +DO 1606 2651 mt 933 2342 L 1606 2651 mt 2483 2414 L +SO 1606 1975 mt 1606 1299 L 1606 1299 mt 933 989 L 1606 1299 mt 1606 1975 L @@ -494,10 +537,12 @@ c9 0 sg 1363 3346 mt (y) s +0.6 sg 1372 1239 mt (\(18\)) s 1372 1915 mt (\(19\)) s +0 sg 1270 2188 mt (\(3\)) s 1270 1512 mt @@ -507,9 +552,12 @@ c8 933 1665 mt 933 2342 L 933 2342 mt 1606 2651 L 933 989 mt 1606 1299 L +DO 933 2342 mt 1811 2104 L +SO 933 989 mt 933 1665 L 933 1665 mt 1606 1975 L +DO 933 1665 mt 933 989 L 933 989 mt 1811 752 L 933 2342 mt 933 1665 L @@ -517,6 +565,7 @@ c8 gr c8 +DO c9 911 2335 mt (7) s @@ -528,6 +577,7 @@ c9 380 1673 mt -90 rotate (z) s 90 rotate +SO 4.16667 w end %%Color Dict diff --git a/doc/fig/exmpl_3DFichCube_ref.eps b/doc/fig/exmpl_3DFichCube_ref.eps index 385b688..2ce8edc 100644 --- a/doc/fig/exmpl_3DFichCube_ref.eps +++ b/doc/fig/exmpl_3DFichCube_ref.eps @@ -1,7 +1,7 @@ %!PS-Adobe-2.0 EPSF-1.2 -%%Creator: MATLAB, The MathWorks, Inc. Version 7.14.0.739 (R2012a). Operating System: Linux 3.2.0-39-generic #62-Ubuntu SMP Thu Feb 28 00:28:53 UTC 2013 x86_64. +%%Creator: MATLAB, The MathWorks, Inc. Version 7.14.0.739 (R2012a). Operating System: Linux 3.2.0-40-generic #63-Ubuntu SMP Wed Mar 20 17:18:21 UTC 2013 x86_64. %%Title: ../doc/fig/exmpl_3DFichCube_ref.eps -%%CreationDate: 03/21/2013 23:08:03 +%%CreationDate: 03/29/2013 14:14:49 %%DocumentNeededFonts: Helvetica %%DocumentProcessColors: Cyan Magenta Yellow Black %%Extensions: CMYK @@ -170,7 +170,7 @@ bplot portraitMode 0150 5100 csm 237 236 4142 3188 MR c np -86 dict begin %Colortable dictionary +85 dict begin %Colortable dictionary /c0 { 0.000000 0.000000 0.000000 sr} bdef /c1 { 1.000000 1.000000 1.000000 sr} bdef /c2 { 0.900000 0.000000 0.000000 sr} bdef @@ -254,18 +254,24 @@ gs 623 269 3722 2937 MR c np /c8 { 0.000000 0.400000 0.400000 sr} bdef c8 4034 1133 mt 3361 824 L +DO 4034 2486 mt 3156 2723 L 4034 1810 mt 3361 1500 L 4034 1133 mt 4034 1810 L 4034 2486 mt 3361 2176 L 4034 1810 mt 4034 2486 L +SO 4034 1810 mt 4034 1133 L +DO 3361 824 mt 3361 1500 L 3361 1500 mt 3361 824 L +SO 4034 1133 mt 3156 1371 L 4034 2486 mt 4034 1810 L +DO 3361 1500 mt 3361 2176 L 3361 2176 mt 3361 1500 L +SO 4034 1810 mt 3156 2047 L gr @@ -279,11 +285,12 @@ c9 (19) s 4022 1145 mt (20) s -0 sg +0.6 sg 3697 1347 mt (\(14\)) s 3697 2023 mt (\(19\)) s +0 sg 3595 1620 mt (\(20\)) s 3595 2296 mt @@ -291,9 +298,12 @@ c9 gs 623 269 3722 2937 MR c np c8 3361 824 mt 2688 514 L +DO 2688 1190 mt 2688 514 L 2688 514 mt 2688 1190 L +SO 3361 824 mt 2483 1061 L +DO 3361 2176 mt 4034 2486 L 3361 824 mt 4034 1133 L 3361 2176 mt 2483 2414 L @@ -303,6 +313,7 @@ c8 gr c8 +DO c9 3349 2188 mt (21) s @@ -313,34 +324,48 @@ c9 0 sg 3258 1127 mt (\(9\)) s +0.6 sg 3258 2480 mt (\(13\)) s +0 sg 3194 3389 mt (x) s gs 623 269 3722 2937 MR c np +SO c8 3156 1371 mt 4034 1133 L 3156 1371 mt 2483 1061 L +DO 3156 2723 mt 2483 2414 L +SO 3156 2047 mt 3156 1371 L +DO 2688 1190 mt 1811 1428 L 2483 1061 mt 2483 1737 L +SO 2483 1737 mt 2483 1061 L +DO 2688 1190 mt 3361 1500 L 2688 1866 mt 2688 1190 L 2688 1190 mt 2688 1866 L +SO 3156 1371 mt 2279 1609 L +DO 3156 2723 mt 2279 2961 L +SO 3156 2047 mt 4034 1810 L 3156 1371 mt 3156 2047 L 3156 2723 mt 4034 2486 L 3156 2047 mt 3156 2723 L 3156 2723 mt 3156 2047 L +DO 2688 1866 mt 3361 2176 L +SO 3156 2047 mt 2279 2285 L gr c8 +SO c9 3145 2735 mt (9) s @@ -348,23 +373,28 @@ c9 (10) s 3145 1383 mt (11) s -0 sg +0.6 sg 3024 1037 mt (\(23\)) s 3024 1713 mt (\(24\)) s +0 sg 2718 1858 mt (\(15\)) s 2718 2534 mt (\(22\)) s gs 623 269 3722 2937 MR c np +DO c8 2688 1866 mt 1811 2104 L +SO 2688 514 mt 1811 752 L +DO 2688 514 mt 3361 824 L gr c8 +DO c9 2676 1878 mt (24) s @@ -375,20 +405,27 @@ c9 0 sg 2586 818 mt (\(8\)) s +0.6 sg 2586 2170 mt (\(16\)) s gs 623 269 3722 2937 MR c np +SO c8 2483 1737 mt 1811 1428 L 2483 1061 mt 1811 752 L +DO 1811 2104 mt 1811 1428 L 1811 1428 mt 1811 2104 L 2483 1737 mt 1606 1975 L +SO 2483 1061 mt 3361 824 L 2483 1061 mt 3156 1371 L +DO 1811 1428 mt 1811 752 L +SO 1811 752 mt 1811 1428 L 2483 1061 mt 1606 1299 L +DO 2483 2414 mt 3361 2176 L 2483 2414 mt 1811 2104 L 2483 2414 mt 1606 2651 L @@ -406,25 +443,34 @@ c9 0 sg 2381 1365 mt (\(10\)) s +0.6 sg 2381 2717 mt (\(18\)) s gs 623 269 3722 2937 MR c np +SO c8 2279 1609 mt 3156 1371 L 2279 2285 mt 2279 1609 L +DO 1811 1428 mt 2688 1190 L +SO 2279 1609 mt 1606 1299 L 2279 2961 mt 2279 2285 L +DO 1811 2104 mt 2688 1866 L +SO 2279 2285 mt 1606 1975 L 2279 2285 mt 3156 2047 L 2279 1609 mt 2279 2285 L +DO 2279 2961 mt 1606 2651 L +SO 2279 2961 mt 3156 2723 L 2279 2285 mt 2279 2961 L gr c8 +SO c9 2268 2972 mt (1) s @@ -432,15 +478,18 @@ c9 (2) s 2268 1620 mt (3) s -0 sg +0.6 sg 2249 1677 mt (\(6\)) s 2249 1001 mt (\(7\)) s +0 sg 2147 1275 mt (\(2\)) s +0.6 sg 2045 1548 mt (\(3\)) s +0 sg 1943 1822 mt (\(11\)) s 1943 2498 mt @@ -449,13 +498,17 @@ gs 623 269 3722 2937 MR c np c8 1811 1428 mt 933 1665 L 1811 1428 mt 2483 1737 L +DO 1811 2104 mt 933 2342 L 1811 752 mt 2688 514 L +SO 1811 752 mt 2483 1061 L +DO 1811 2104 mt 2483 2414 L gr c8 +DO c9 1799 2115 mt (15) s @@ -466,13 +519,17 @@ c9 0 sg 1708 1731 mt (\(1\)) s +0.6 sg 1708 2408 mt (\(17\)) s gs 623 269 3722 2937 MR c np +SO c8 1606 1975 mt 2483 1737 L +DO 1606 1975 mt 1606 1299 L 1606 1299 mt 2483 1061 L +SO 1606 2651 mt 1606 1975 L 1606 1975 mt 933 1665 L 1606 1299 mt 2279 1609 L @@ -480,6 +537,7 @@ c8 1606 1975 mt 2279 2285 L 1606 1975 mt 1606 2651 L 1606 2651 mt 2279 2961 L +DO 1606 2651 mt 933 2342 L 1606 2651 mt 2483 2414 L gr @@ -495,15 +553,19 @@ c9 0 sg 1363 3346 mt (y) s +0.6 sg 1372 1915 mt (\(5\)) s +0 sg 1270 2188 mt (\(4\)) s gs 623 269 3722 2937 MR c np +SO c8 933 1665 mt 1606 1975 L 933 1665 mt 933 2342 L 933 2342 mt 1606 2651 L +DO 933 2342 mt 933 1665 L 933 1665 mt 1811 1428 L 933 2342 mt 1811 2104 L @@ -519,6 +581,7 @@ c9 331 1673 mt -90 rotate (z) s 90 rotate +SO 4.16667 w end %%Color Dict diff --git a/doc/fig/net1.eps b/doc/fig/net1.eps index f4c61cb..9238071 100644 --- a/doc/fig/net1.eps +++ b/doc/fig/net1.eps @@ -1,7 +1,7 @@ %!PS-Adobe-2.0 EPSF-1.2 -%%Creator: MATLAB, The MathWorks, Inc. Version 7.14.0.739 (R2012a). Operating System: Linux 3.2.0-39-generic #62-Ubuntu SMP Thu Feb 28 00:28:53 UTC 2013 x86_64. +%%Creator: MATLAB, The MathWorks, Inc. Version 7.14.0.739 (R2012a). Operating System: Linux 3.2.0-40-generic #63-Ubuntu SMP Wed Mar 20 17:18:21 UTC 2013 x86_64. %%Title: ../doc/fig/net1.eps -%%CreationDate: 03/21/2013 23:08:02 +%%CreationDate: 03/29/2013 14:14:48 %%DocumentNeededFonts: Helvetica %%DocumentProcessColors: Cyan Magenta Yellow Black %%Extensions: CMYK @@ -170,7 +170,7 @@ bplot portraitMode 0150 5100 csm 916 463 3169 2517 MR c np -86 dict begin %Colortable dictionary +83 dict begin %Colortable dictionary /c0 { 0.000000 0.000000 0.000000 sr} bdef /c1 { 1.000000 1.000000 1.000000 sr} bdef /c2 { 0.900000 0.000000 0.000000 sr} bdef diff --git a/doc/fig/net_single.eps b/doc/fig/net_single.eps index e497aa1..a0b9b4f 100644 --- a/doc/fig/net_single.eps +++ b/doc/fig/net_single.eps @@ -1,7 +1,7 @@ %!PS-Adobe-2.0 EPSF-1.2 -%%Creator: MATLAB, The MathWorks, Inc. Version 7.14.0.739 (R2012a). Operating System: Linux 3.2.0-39-generic #62-Ubuntu SMP Thu Feb 28 00:28:53 UTC 2013 x86_64. +%%Creator: MATLAB, The MathWorks, Inc. Version 7.14.0.739 (R2012a). Operating System: Linux 3.2.0-40-generic #63-Ubuntu SMP Wed Mar 20 17:18:21 UTC 2013 x86_64. %%Title: ../doc/fig/net_single.eps -%%CreationDate: 03/21/2013 23:08:02 +%%CreationDate: 03/29/2013 14:14:48 %%DocumentNeededFonts: Helvetica %%DocumentProcessColors: Cyan Magenta Yellow Black %%Extensions: CMYK @@ -170,7 +170,7 @@ bplot portraitMode 0150 5100 csm 286 236 4093 3188 MR c np -86 dict begin %Colortable dictionary +84 dict begin %Colortable dictionary /c0 { 0.000000 0.000000 0.000000 sr} bdef /c1 { 1.000000 1.000000 1.000000 sr} bdef /c2 { 0.900000 0.000000 0.000000 sr} bdef @@ -277,14 +277,22 @@ c8 /c9 { 1.000000 0.000000 0.000000 sr} bdef c9 2484 2549 mt 2484 926 L -0 j gr 4.16667 w c9 + 25 25 2484 2549 FO +gs 624 269 3721 2937 MR c np +0 j +gr + 2467 909 mt 2501 943 L 2501 909 mt 2467 943 L gs 624 269 3721 2937 MR c np +gr + + 25 25 2484 926 FO +gs 624 269 3721 2937 MR c np 16.6667 w c8 2279 3096 mt 4034 2621 L diff --git a/doc/fig/net_wrong.eps b/doc/fig/net_wrong.eps index 58150b8..639ad72 100644 --- a/doc/fig/net_wrong.eps +++ b/doc/fig/net_wrong.eps @@ -1,7 +1,7 @@ %!PS-Adobe-2.0 EPSF-1.2 -%%Creator: MATLAB, The MathWorks, Inc. Version 7.14.0.739 (R2012a). Operating System: Linux 3.2.0-39-generic #62-Ubuntu SMP Thu Feb 28 00:28:53 UTC 2013 x86_64. +%%Creator: MATLAB, The MathWorks, Inc. Version 7.14.0.739 (R2012a). Operating System: Linux 3.2.0-40-generic #63-Ubuntu SMP Wed Mar 20 17:18:21 UTC 2013 x86_64. %%Title: ../doc/fig/net_wrong.eps -%%CreationDate: 03/21/2013 23:08:02 +%%CreationDate: 03/29/2013 14:14:48 %%DocumentNeededFonts: Helvetica %%DocumentProcessColors: Cyan Magenta Yellow Black %%Extensions: CMYK @@ -170,7 +170,7 @@ bplot portraitMode 0150 5100 csm 916 463 3169 2517 MR c np -86 dict begin %Colortable dictionary +83 dict begin %Colortable dictionary /c0 { 0.000000 0.000000 0.000000 sr} bdef /c1 { 1.000000 1.000000 1.000000 sr} bdef /c2 { 0.900000 0.000000 0.000000 sr} bdef diff --git a/src/A_plots.m b/src/A_plots.m index 5428519..a310f46 100644 --- a/src/A_plots.m +++ b/src/A_plots.m @@ -1,8 +1,23 @@ function A_plots(files,printt) +figure(4) +figure(5) +figure(6) +figure(7) +figure(8) + % type2str = {'Analytisch ' 'Quad Element' 'Quad Achse ' 'Quad Seite '}; type2str = {'A ' 'QA' 'QEQA' 'QA ' 'QS '}; type2sym = {'-o' '-x' '-*' '-+' '-.'}; +type2color = [[0 .3 .3]; [0 .6 .6]; [0 0 .6 ]; [.9 0 0]]; + +set(0,'DefaultAxesColorOrder',type2color,... + 'DefaultAxesLineStyleOrder','-o|-x|-*|-.|--|:') + + set(4,'DefaultAxesColorOrder',type2color(1,:),... + 'DefaultAxesLineStyleOrder','-o|-x|-*|-.|--|:') + set(6,'DefaultAxesColorOrder',type2color(1,:),... + 'DefaultAxesLineStyleOrder','-o|-x|-*|-.|--|:') G_D=[]; X = []; @@ -113,13 +128,14 @@ elseif(strcmp(t0, '(3DCube3)')) sol = 16.604703 % Ferraz-Leite Dipl. end + + + % G_D %% Plotte Fehlerschätzer figure(4) i=0; - - % [shift k] = min(G_D(1:end-5,2+1+rows*i)*G_D(1,2)/G_D(1,3)-G_D(1:end-5,2+0+rows*i)); % shift = shift+shift/10; @@ -130,6 +146,9 @@ i=0; % shift2 = shift2+shift2/10; % error*(eta(l)-shift2)/error(l) +first = find(abs([ 0; (G_D(2:end,2+rows*i)-G_D(1:end-1,2+rows*i))./G_D(2:end,2+rows*i)])>0.5,1); +Ferr = (X(first,i+1)+X(first-1,i+1))/2; + loglog(repmat(X(:,i+1),1,3),[G_D(:,2+rows*i) ... ... G_D(:,2+8+rows*i)... G_D(:,2+1+rows*i)...*(G_D(k,2)-shift)/G_D(k,3)...*G_D(1,2)/G_D(1,2+1+rows*i) ... @@ -138,7 +157,7 @@ loglog(repmat(X(:,i+1),1,3),[G_D(:,2+rows*i) ... ... [ 0; sqrt(G_D(2:end,2+9+rows*i)-G_D(1:end-1,2+9+rows*i))]... ... [ 0; sqrt(G_D(2:end,2+2+rows*i)-G_D(1:end-1,2+2+rows*i))]... ... G_D(:,2+10+rows*i)... - ],type2sym{i+1}); + ],'color', type2color(i+1,:)); hold on for i = 1:step-1 @@ -150,17 +169,26 @@ loglog(repmat(X(:,i+1),1,3),[G_D(:,2+rows*i) ... ... [ 0; sqrt(G_D(2:end,2+9+rows*i)-G_D(1:end-1,2+9+rows*i))]... ... [ 0; sqrt(G_D(2:end,2+2+rows*i)-G_D(1:end-1,2+2+rows*i))]... ... G_D(:,2+10+rows*i)... - ],type2sym{i+1}); + ],'color', type2color(i+1,:)); end -loglog(X(:,1),[7*X(:,1).^(-1/2),3*X(:,1).^(-1/4),2*X(:,1).^(-3/4)],'-.') + +loglog(X(:,1),7*X(:,1).^(-1/2),'-.',... + X(:,1),3*X(:,1).^(-1/4),':',... + X(:,1),4*X(:,1).^(-3/4),'--','color', [.9 .6 0]) + +loglog([Ferr; Ferr],... + [min(G_D(:,3+rows*[0:step-1]))*0.6; max(G_D(:,2+rows*[0:step-1]))*1.3],... + '--','color',[.9 0 0]); + hold off -title(['Fehler ' t0]) +% title(['Fehler ' t0]) xlabel('Elemente'); ylabel('Schaetzer'); legend({leg0{:} ... 'N^{-1/2}' 'N^{-1/4}' 'N^{-3/4}'... + 'erste Fehler' ... } ,'location','southwest','box', 'off'); print('-r600','-depsc',[printt '_error.eps']) @@ -170,15 +198,18 @@ figure(5) loglog(repmat(X(:,1),1,1),G_D(:,2+2),type2sym{1}); hold on for i = 1:step-1 - loglog(repmat(X(:,i+1),1,1),G_D(:,2+2+i*rows),type2sym{i+1}); + loglog(repmat(X(:,i+1),1,1),G_D(:,2+2+i*rows),'color', type2color(i+1,:)); end -loglog(X(:,1),repmat(sol,size(X,1),1),'r-.') +loglog(X(:,1),repmat(sol,size(X,1),1),'-.', 'color', [.9 0 0]) +loglog([Ferr; Ferr],... + [min(G_D(:,4+rows*[0:step-1]))*0.6; max(G_D(:,4+rows*[0:step-1]))*1.1],... + '--','color',[.9 0 0]); hold off ylim([min(min(G_D(:,[4+(0:step-1)*rows]))) 1.005*max(max(G_D(:,[4+(0:step-1)*rows])))]) -title(['Energie Norm ' t0]) +% title(['Energie Norm ' t0]) xlabel('Elemente'); ylabel('eNorm^2'); -legend({leg1{:} , 'extrapoliert' },'location','SouthEast'); +legend({leg1{:} , 'extrapoliert', 'erste Fehler' },'location','SouthEast'); print('-r600','-depsc',[printt '_norm.eps']) @@ -190,22 +221,28 @@ loglog(repmat(X(:,i+1),1,3),[... G_D(:,2+4+rows*i)... G_D(:,2+5+rows*i)... G_D(:,2+6+rows*i)... - ],type2sym{i+1}); + ],'color', type2color(i+1,:)); hold on for i = 1:step-1 loglog(repmat(X(:,i+1),1,3),[... G_D(:,2+4+rows*i)... G_D(:,2+5+rows*i)... G_D(:,2+6+rows*i)... - ],type2sym{i+1}); + ],'color', type2color(i+1,:)); end % loglog(X(:,1),[7*X(:,1).^(-1/2),3*X(:,1).^(-1/4),2*X(:,1).^(-3/4)],'-.') + +loglog([Ferr; Ferr],... + [min(G_D(:,6+rows*[0:step-1]))*0.6; max(G_D(:,6+rows*[0:step-1]))*1.3],... + '--','color',[.9 0 0]); + hold off -title(['hmin hmax ' t0]) +% title(['hmin hmax ' t0]) xlabel('Elemente'); ylabel('Schaetzer'); legend({leg2{:} ... + 'erste Fehler' ... % 'N^{-1/2}' 'N^{-1/4}' 'N^{-3/4}'... } ,'location','southwest','box', 'off'); @@ -217,20 +254,26 @@ figure(7) i=0; loglog(repmat(X(:,i+1),1,1),[... G_D(:,2+7+rows*i)... - ],type2sym{i+1}); + ],'color', type2color(i+1,:)); hold on for i = 1:step-1 loglog(repmat(X(:,i+1),1,1),[... G_D(:,2+7+rows*i)... - ],type2sym{i+1}); + ],'color', type2color(i+1,:)); end % loglog(X(:,1),[7*X(:,1).^(-1/2),3*X(:,1).^(-1/4),2*X(:,1).^(-3/4)],'-.') + +loglog([Ferr; Ferr],... + [min(G_D(:,9+rows*[0:step-1]))*0.6; max(G_D(:,9+rows*[0:step-1]))*1.3],... + '--','color',[.9 0 0]); + hold off -title(['KonditionierungsZahlen von V ' t0]) +% title(['KonditionierungsZahlen von V ' t0]) xlabel('Elemente'); ylabel('Condition'); legend({leg3{:} ... + 'erste Fehler' ... % 'N^{-1/2}' 'N^{-1/4}' 'N^{-3/4}'... } ,'location','northwest','box', 'off'); @@ -241,17 +284,17 @@ figure(8) i=0; loglog(repmat(X(:,i+1),1,1),[... G_D(:,2+11+rows*i)... - ],type2sym{i+1}); + ],'color', type2color(i+1,:)); hold on for i = 1:step-1 loglog(repmat(X(:,i+1),1,1),[... G_D(:,2+11+rows*i)... - ],type2sym{i+1}); + ],'color', type2color(i+1,:)); end % loglog(X(:,1),[7*X(:,1).^(-1/2),3*X(:,1).^(-1/4),2*X(:,1).^(-3/4)],'-.') hold off -title(['Benoetigte Zeit ' t0]) +% title(['Benoetigte Zeit ' t0]) xlabel('Elemente'); ylabel('Sekunden'); legend({leg4{:} ... diff --git a/src/export_exmpl.m b/src/export_exmpl.m index 6ca7a5d..838938c 100644 --- a/src/export_exmpl.m +++ b/src/export_exmpl.m @@ -56,3 +56,6 @@ export_mesh(coordinates,elements,neigh,[],'exmpl_3DCube') load exmpl_3DFichCube export_mesh(coordinates,elements,neigh,[],'exmpl_3DFichCube') + +%% voll Analytisch +A_plots({'meshSave/1t05n05_3DFichCube_23'},'../doc/fig/1t05n05_3DFichCube_23') diff --git a/src/export_mesh.m b/src/export_mesh.m index a38a4db..5d55af8 100644 --- a/src/export_mesh.m +++ b/src/export_mesh.m @@ -4,7 +4,7 @@ function export_mesh(coordinates, elements, neigh, f2s, file) % save(file,'coordinates', 'elements','neigh','f2s') %% Übersicht -plotShape(coordinates,elements,'bdt'); +plotShape(coordinates,elements,'bdtv'); if(length(unique(coordinates(:,3)))==1) view(2) diff --git a/src/plotShape.m b/src/plotShape.m index 42ea3ea..fc569a0 100644 --- a/src/plotShape.m +++ b/src/plotShape.m @@ -13,6 +13,7 @@ function plotShape(coordinates, elements, varargin) % t -> Element Text wird angezeigt (oder Element Index) % d -> Koordinaten Text wird angezeigt (oder Koordinaten Index) % e -> dicke linien fuer den Export +% v -> gestrichelte linien fuer unsichtbare % % P.Schaefer @@ -22,6 +23,7 @@ e = 1; n = 0; t = [0 0]; f = 0; +v = 0; line = 1; optargin = size(varargin,2); if(optargin>2) @@ -62,6 +64,10 @@ elseif(optargin>=1) if(ismember('c',varargin{1})) c = 1; end + + if(ismember('v',varargin{1})) + v = 1; + end if(ismember('a',varargin{1})) n = 2; elseif(ismember('n',varargin{1})) @@ -91,6 +97,9 @@ end eles = 1:size(elements,1); coos = 1:size(coordinates,1); +anorm = quadNorm(coordinates,elements); +anorm(:,1:2) = anorm(:,1:2)*-1; + if(e==1) for idx = eles current = coordinates(elements(idx,[1:4,1])',:); @@ -110,9 +119,14 @@ elseif(e==2) end else for idx = eles + if(sum(anorm(idx,:)<0)&&v==1) + ltype = ':'; + else + ltype = '-'; + end current = coordinates(elements(idx,[1:4,1])',:); % current(3,:) = current(3,:)-current(1,:)+current(2,:); - plot3(current(:,1),current(:,2),current(:,3),'LineWidth',line,'color',[0,102,102]/255); % Zeichnet nur Kanten + plot3(current(:,1),current(:,2),current(:,3),ltype,'LineWidth',line,'color',[0,102,102]/255); % Zeichnet nur Kanten hold on end end @@ -141,13 +155,17 @@ if(n) end +anorm = quadNorm(coordinates,elements); +anorm(:,1:2) = anorm(:,1:2)*-1; + + if(t(1)) for idx = eles current = sum(coordinates(elements(idx,[2,4])',:),1)/2; - if(e) - cola = 'bla'; + if(sum(anorm(idx,:)<0)&&v==1) + cola = [.6 .6 .6]; else - cola = 'bla'; + cola = [0 0 0]; end if(isempty(desc)) text(current(1),current(2),current(3),['(' num2str(idx) ')'],'color',cola); @@ -161,11 +179,9 @@ if(t(1)) if(t(2)) for idx = coos current = coordinates(idx,:); - if(e) - cola = 'r'; - else - cola = 'r'; - end + + cola = 'r'; + if(isempty(desc)) text(current(1)+0.01,current(2)+0.03,current(3)+0.01, num2str(idx) ,'color',cola); else diff --git a/src/test_sol.m b/src/test_sol.m index 80dc973..d65c3c1 100644 --- a/src/test_sol.m +++ b/src/test_sol.m @@ -9,7 +9,7 @@ mex -o mex_build_V.cpp slpRectangle.cpp CFLAGS="\$CFLAGS -fopenmp" CXXFLAGS="\$ % Test ausführen %Anzahl der Schritte oder wenn groeßer als 40 der Elemente -steps = 15^4; +steps = 5; %Art der Berechnungen type = [1];