\hypersetup{linkbordercolor={1 1 1},citebordercolor={1 1 1},urlbordercolor={1 1 1}}
-\usepackage[ngerman]{babel} %Sprachpacket für ├Ьberschriften
+\usepackage[ngerman]{babel} %Sprachpacket für Überschriften
\usepackage[utf8]{inputenc} %Eingabekodierung
\usepackage{fixltx2e} %Deutschsprach Bugs
\subfloat[ungültige Partition]{\includegraphics[width=0.3\textwidth]{fig/net_wrong}}
\caption{Beispiel Partitionen}
\end{figure}
-\subsubsection{Verfeinern}
+\subsubsection{Verfeinern}\todo{
\begin{defi}[Lokale Verfeinerung]
-\end{defi}
+\end{defi}}
\begin{figure}[ht]
\centering
\label{fig_refType}
(Siehe Abb.:\ref{exmpl13:nei:part})
\begin{figure}[ht]
\caption{Nachbarschaftsrelationen Element 4 aus Abb.\ref{exmpl13}}
-% \label{exmpl13:nei:part}
+\label{exmpl13:nei:part}
\centering
\subfloat[Lage]{\includegraphics{fig/Net_Neigh}}
\subfloat[Nachbarn]{\input{fig/exmpl3_nei_part}}
\end{enumerate}
Zusätzlich wurde auch Typ 5. belegt, welcher als Ergebnis eine volle Teilung 2. ausführt, diese aber schrittweise durch eine 3. Teilung und zwei 4. Teilungen. Aus Sicherheitsgründen wird auch jede vierte volle 2. Teilung durch eine 5. Teilung ausgeführt, da sonst kurzzeitig Seiten mit mehr als zwei Elementen auftreten könnten.
-Damit jedem Element $T_i$ eine Teilungsart zugeordnet werden kann, haben wir einen Markierungsvektor $marked \in {1,2,3,4,5}^M$ eingeführt. Dabei entspricht $marked_i$ der Art der Teilung für das Element $T_i$. Um isotrope und auch uniforme Teilungen zu erleichtern kann statt dem Vektor $marked$ auch nur ein Skalar übergeben werden $marked \in {1,2\dots5}$, wodurch jedes Element mit der gewählten Art verfeinert wird.
+Damit jedem Element $T_i$ eine Teilungsart zugeordnet werden kann, haben wir einen Mar\-kierungsvektor $marked \in {1,2,3,4,5}^M$ eingeführt. Dabei entspricht $marked_i$ der Art der Teilung für das Element $T_i$. Um isotrope und auch uniforme Teilungen zu erleichtern kann statt dem Vektor $marked$ auch nur ein Skalar übergeben werden $marked \in {1,2\dots5}$, wodurch jedes Element mit der gewählten Art verfeinert wird.
Relevant zum Verfeinern eines Netzes sind also die Koordinaten $COO$, Elemente $ELE$ sowie die Nachbarschaftsrelationen $NTI$ und der Markierungsvektor $marked$.
\showMesh[Beispiel 1.3]{exmpl13}
+\begin{figure}[ht]
+\caption{Objekt Beispiele}
+\centering
+\label{objects}
+\subfloat[2D L Shape]{\includegraphics[width=0.5\textwidth]{fig/exmpl_2DLShape_ref}}
+\subfloat[2D Quad]{\includegraphics[width=0.5\textwidth]{fig/exmpl_2DQuad_ref}}\\
+\subfloat[3D Cube]{\includegraphics[width=0.5\textwidth]{fig/exmpl_3DCube_ref}}
+\subfloat[3D FichCube]{\includegraphics[width=0.5\textwidth]{fig/exmpl_3DFichCube_ref}}
+\end{figure}
+
\begin{figure}[ht]
\caption{2D Quad adaptiv anisotrop vollanalytisch $V\phi = 1$}
\centering
\subfloat[Energie Norm]{\includegraphics[width=0.5\textwidth]{fig/exmplAA_2DQuad_norm}}
\end{figure}
+\begin{figure}[ht]
+\caption{12t05n05 2DQuad 31}
+\centering
+\label{12t05n05_2DQuad_31}
+\subfloat[Fehler]{\includegraphics[width=0.5\textwidth]{fig/12t05n05_2DQuad_31_error}}
+\subfloat[Energie Norm]{\includegraphics[width=0.5\textwidth]{fig/12t05n05_2DQuad_31_norm}}\\
+\subfloat[Kondition]{\includegraphics[width=0.5\textwidth]{fig/12t05n05_2DQuad_31_cond}}
+\subfloat[Seitenverhältnis]{\includegraphics[width=0.5\textwidth]{fig/12t05n05_2DQuad_31_hminmax}}
+\end{figure}
+
+\begin{figure}[ht]
+\caption{13t05n05 2DQuad 30}
+\centering
+\label{13t05n05_2DQuad_30}
+\subfloat[Fehler]{\includegraphics[width=0.5\textwidth]{fig/13t05n05_2DQuad_30_error}}
+\subfloat[Energie Norm]{\includegraphics[width=0.5\textwidth]{fig/13t05n05_2DQuad_30_norm}}\\
+\subfloat[Kondition]{\includegraphics[width=0.5\textwidth]{fig/13t05n05_2DQuad_30_cond}}
+\subfloat[Seitenverhältnis]{\includegraphics[width=0.5\textwidth]{fig/13t05n05_2DQuad_30_hminmax}}
+\end{figure}
+
\section{Anhang Code}
\todo{
Die wichtigsten Funktionen
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--- /dev/null
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\ No newline at end of file
--- /dev/null
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--- /dev/null
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--- /dev/null
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--- /dev/null
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\ No newline at end of file
--- /dev/null
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--- /dev/null
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--- /dev/null
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+ 3 & -1 & 1 & 0\\
+ 4 & 0 & 1 & 0\\
+ 5 & 0 & 1 & 1\\
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--- /dev/null
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+\label{exmpl_3DFichCube:ele}
\ No newline at end of file
--- /dev/null
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+ Index & e1 & e2 & e3 & e4\\
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+\label{exmpl_3DFichCube:f2s}
\ No newline at end of file
--- /dev/null
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+ Index & n1 & n2 & n3 & n4 & n5 & n6 & n7 & n8\\
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+ 14 & 13 & 6 & 8 & 15 & 0 & 7 & 9 & 0\\
+ 15 & 14 & 9 & 11 & 13 & 0 & 10 & 12 & 0
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+\label{exmpl_3DFichCube:nei}
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--- /dev/null
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+(\(3\)) s
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+(\(11\)) s
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+1606 1975 mt 2279 2285 L
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+ 331 1673 mt -90 rotate
+(z) s
+90 rotate
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+
+end %%Color Dict
+
+eplot
+%%EndObject
+
+epage
+end
+
+showpage
+
+%%Trailer
+%%EOF
%!PS-Adobe-2.0 EPSF-1.2
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%%Title: ../doc/fig/net_wrong.eps
-%%CreationDate: 08/31/2012 20:24:58
+%%CreationDate: 09/01/2012 16:57:05
%%DocumentNeededFonts: Helvetica
%%DocumentProcessColors: Cyan Magenta Yellow Black
%%Extensions: CMYK
view(2);
axis off;
print('-r600','-depsc',['../doc/fig/net1.eps'])
-system(['epstopdf ../doc/fig/net1.eps']);
+% system(['epstopdf ../doc/fig/net1.eps']);
load exmpl_2DQuad_wrong
view(2);
axis off;
print('-r600','-depsc',['../doc/fig/net_wrong.eps'])
-system(['epstopdf ../doc/fig/net_wrong.eps']);
\ No newline at end of file
+% system(['epstopdf ../doc/fig/net_wrong.eps']);
+
+
+%% Example Objects
+load exmpl_2DLShape
+export_mesh(coordinates,elements,neigh,[],'exmpl_2DLShape')
+
+load exmpl_2DQuad
+export_mesh(coordinates,elements,neigh,[],'exmpl_2DQuad')
+
+load exmpl_3DCube
+export_mesh(coordinates,elements,neigh,[],'exmpl_3DCube')
+
+load exmpl_3DFichCube
+export_mesh(coordinates,elements,neigh,[],'exmpl_3DFichCube')
function export_mesh(coordinates, elements, neigh, f2s, file)
%% Daten
-save(file,'coordinates', 'elements','neigh','f2s')
+% save(file,'coordinates', 'elements','neigh','f2s')
%% Übersicht
plotShape(coordinates,elements,'db');
view(2)
end
print('-r600','-depsc',['../doc/fig/' file '_ref.eps'])
-system(['epstopdf ../doc/fig/' file '_ref.eps']);
+% system(['epstopdf ../doc/fig/' file '_ref.eps']);
%% Koordinaten
fid = fopen(['../doc/fig/' file '_coo.tex'],'w');
+++ /dev/null
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-4344 2172 mt 4306 2172 L
-%%IncludeResource: font Helvetica
-/Helvetica /ISOLatin1Encoding 83.3333 FMSR
-
- 400 2202 mt
-(10) s
-%%IncludeResource: font Helvetica
-/Helvetica /ISOLatin1Encoding 55.5556 FMSR
-
- 492 2151 mt
-(0.64) s
- 624 3205 mt 624 3205 L
- 624 3205 mt 624 3205 L
- 624 3205 mt 624 3205 L
- 624 3205 mt 624 3205 L
- 624 3205 mt 624 3205 L
- 624 3205 mt 624 3205 L
- 624 3205 mt 624 3205 L
- 624 3205 mt 624 3205 L
- 624 3205 mt 624 3205 L
- 624 3205 mt 624 3205 L
- 624 3205 mt 624 3205 L
- 624 3205 mt 624 3205 L
- 624 3205 mt 624 3205 L
- 624 3205 mt 624 3205 L
- 624 3205 mt 624 3205 L
- 624 3205 mt 624 3205 L
- 624 3205 mt 624 3205 L
- 624 3205 mt 624 3205 L
- 624 1434 mt 661 1434 L
-4344 1434 mt 4306 1434 L
-%%IncludeResource: font Helvetica
-/Helvetica /ISOLatin1Encoding 83.3333 FMSR
-
- 400 1464 mt
-(10) s
-%%IncludeResource: font Helvetica
-/Helvetica /ISOLatin1Encoding 55.5556 FMSR
-
- 492 1413 mt
-(0.65) s
- 624 3205 mt 624 3205 L
- 624 3205 mt 624 3205 L
- 624 3205 mt 624 3205 L
- 624 3205 mt 624 3205 L
- 624 3205 mt 624 3205 L
- 624 3205 mt 624 3205 L
- 624 3205 mt 624 3205 L
- 624 3205 mt 624 3205 L
- 624 3205 mt 624 3205 L
- 624 3205 mt 624 3205 L
- 624 3205 mt 624 3205 L
- 624 3205 mt 624 3205 L
- 624 3205 mt 624 3205 L
- 624 3205 mt 624 3205 L
- 624 3205 mt 624 3205 L
- 624 3205 mt 624 3205 L
- 624 3205 mt 624 3205 L
- 624 3205 mt 624 3205 L
- 624 697 mt 661 697 L
-4344 697 mt 4306 697 L
-%%IncludeResource: font Helvetica
-/Helvetica /ISOLatin1Encoding 83.3333 FMSR
-
- 400 727 mt
-(10) s
-%%IncludeResource: font Helvetica
-/Helvetica /ISOLatin1Encoding 55.5556 FMSR
-
- 492 676 mt
-(0.66) s
- 624 3205 mt 624 3205 L
- 624 3205 mt 624 3205 L
- 624 3205 mt 624 3205 L
- 624 3205 mt 624 3205 L
- 624 3205 mt 624 3205 L
- 624 3205 mt 624 3205 L
- 624 3205 mt 624 3205 L
- 624 3205 mt 624 3205 L
- 624 3205 mt 624 3205 L
- 624 3205 mt 624 3205 L
- 624 3205 mt 624 3205 L
- 624 3205 mt 624 3205 L
- 624 3205 mt 624 3205 L
- 624 3205 mt 624 3205 L
- 624 3205 mt 624 3205 L
- 624 3205 mt 624 3205 L
- 624 3205 mt 624 3205 L
- 624 3205 mt 624 3205 L
- 624 3205 mt 4344 3205 L
- 624 269 mt 4344 269 L
- 624 3205 mt 624 269 L
-4344 3205 mt 4344 269 L
-gs 624 269 3721 2937 MR c np
-/c8 { 0.000000 0.000000 1.000000 sr} bdef
-c8
-128 0 120 0 122 -1 107 0 99 0 97 0 94 0 87 -1
-72 0 55 -1 84 -1 54 -1 64 -2 60 -3 61 -4 61 -6
-45 -8 62 -10 48 -16 52 -20 70 -31 51 -43 90 -55 71 -92
-103 -172 123 -206 190 -337 254 -493 560 -1273 1183 3205 30 MP stroke
-gr
-
-c8
-gs 1132 378 3187 2879 MR c np
- 25 25 1183 3205 FO
- 25 25 1743 1932 FO
- 25 25 1997 1439 FO
- 25 25 2187 1102 FO
- 25 25 2310 896 FO
- 25 25 2413 724 FO
- 25 25 2484 632 FO
- 25 25 2574 577 FO
- 25 25 2625 534 FO
- 25 25 2695 503 FO
- 25 25 2747 483 FO
- 25 25 2795 467 FO
- 25 25 2857 457 FO
- 25 25 2902 449 FO
- 25 25 2963 443 FO
- 25 25 3024 439 FO
- 25 25 3084 436 FO
- 25 25 3148 434 FO
- 25 25 3202 433 FO
- 25 25 3286 432 FO
- 25 25 3341 431 FO
- 25 25 3413 431 FO
- 25 25 3500 430 FO
- 25 25 3594 430 FO
- 25 25 3691 430 FO
- 25 25 3790 430 FO
- 25 25 3897 430 FO
- 25 25 4019 429 FO
- 25 25 4139 429 FO
- 25 25 4267 429 FO
-gr
-
-gs 624 269 3721 2937 MR c np
-128 0 120 0 122 -1 107 0 99 0 97 0 94 0 87 -1
-72 0 55 -1 84 -1 54 -1 64 -2 60 -3 61 -4 61 -6
-45 -8 62 -10 48 -16 52 -20 70 -31 51 -43 90 -55 71 -92
-103 -172 123 -206 190 -337 254 -493 560 -1273 1183 3205 30 MP stroke
-gr
-
-gs 1132 378 3187 2879 MR c np
-1166 3188 mt 1200 3222 L
-1200 3188 mt 1166 3222 L
-1726 1915 mt 1760 1949 L
-1760 1915 mt 1726 1949 L
-1980 1422 mt 2014 1456 L
-2014 1422 mt 1980 1456 L
-2170 1085 mt 2204 1119 L
-2204 1085 mt 2170 1119 L
-2293 879 mt 2327 913 L
-2327 879 mt 2293 913 L
-2396 707 mt 2430 741 L
-2430 707 mt 2396 741 L
-2467 615 mt 2501 649 L
-2501 615 mt 2467 649 L
-2557 560 mt 2591 594 L
-2591 560 mt 2557 594 L
-2608 517 mt 2642 551 L
-2642 517 mt 2608 551 L
-2678 486 mt 2712 520 L
-2712 486 mt 2678 520 L
-2730 466 mt 2764 500 L
-2764 466 mt 2730 500 L
-2778 450 mt 2812 484 L
-2812 450 mt 2778 484 L
-2840 440 mt 2874 474 L
-2874 440 mt 2840 474 L
-2885 432 mt 2919 466 L
-2919 432 mt 2885 466 L
-2946 426 mt 2980 460 L
-2980 426 mt 2946 460 L
-3007 422 mt 3041 456 L
-3041 422 mt 3007 456 L
-3067 419 mt 3101 453 L
-3101 419 mt 3067 453 L
-3131 417 mt 3165 451 L
-3165 417 mt 3131 451 L
-3185 416 mt 3219 450 L
-3219 416 mt 3185 450 L
-3269 415 mt 3303 449 L
-3303 415 mt 3269 449 L
-3324 414 mt 3358 448 L
-3358 414 mt 3324 448 L
-3396 414 mt 3430 448 L
-3430 414 mt 3396 448 L
-3483 413 mt 3517 447 L
-3517 413 mt 3483 447 L
-3577 413 mt 3611 447 L
-3611 413 mt 3577 447 L
-3674 413 mt 3708 447 L
-3708 413 mt 3674 447 L
-3773 413 mt 3807 447 L
-3807 413 mt 3773 447 L
-3880 413 mt 3914 447 L
-3914 413 mt 3880 447 L
-4002 412 mt 4036 446 L
-4036 412 mt 4002 446 L
-4122 412 mt 4156 446 L
-4156 412 mt 4122 446 L
-4250 412 mt 4284 446 L
-4284 412 mt 4250 446 L
-gr
-
-gs 624 269 3721 2937 MR c np
-DD
-/c9 { 1.000000 0.000000 0.000000 sr} bdef
-c9
-128 0 120 0 122 0 107 0 99 0 97 0 94 0 87 0
-72 0 55 0 84 0 54 0 64 0 60 0 61 0 61 0
-45 0 62 0 48 0 52 0 70 0 51 0 90 0 71 0
-103 0 123 0 190 0 254 0 560 0 1183 429 30 MP stroke
-gr
-
-c9
-DD
-0 sg
-%%IncludeResource: font Helvetica
-/Helvetica /ISOLatin1Encoding 83.3333 FMSR
-
-2012 205 mt
-(Energie Norm \(12t05n05\)) s
-2307 3431 mt
-(Elemente) s
- 343 1881 mt -90 rotate
-(eNorm) s
-90 rotate
-%%IncludeResource: font Helvetica
-/Helvetica /ISOLatin1Encoding 66.6667 FMSR
-
- 302 1629 mt -90 rotate
-(2) s
-90 rotate
-%%IncludeResource: font Helvetica
-/Helvetica /ISOLatin1Encoding 83.3333 FMSR
-
- 612 3236 mt
-( ) s
-4333 299 mt
-( ) s
-SO
-1 sg
-0 333 870 0 0 -333 3433 3165 4 MP
-PP
--870 0 0 333 870 0 0 -333 3433 3165 5 MP stroke
-2.77778 w
-DO
-SO
-4.16667 w
-0 sg
-3433 3165 mt 4303 3165 L
-3433 2832 mt 4303 2832 L
-3433 3165 mt 3433 2832 L
-4303 3165 mt 4303 2832 L
-3433 3165 mt 4303 3165 L
-3433 3165 mt 3433 2832 L
-3433 3165 mt 4303 3165 L
-3433 2832 mt 4303 2832 L
-3433 3165 mt 3433 2832 L
-4303 3165 mt 4303 2832 L
-3769 2927 mt
-(ts2DQuad A) s
-gs 3433 2832 871 334 MR c np
-c8
-258 0 3484 2896 2 MP stroke
-gs 3562 2845 103 103 MR c np
- 25 25 3613 2896 FO
-gr
-
-gr
-
-c8
-0 sg
-3769 3029 mt
-(ts2DQuad QA) s
-gs 3433 2832 871 334 MR c np
-c8
-258 0 3484 2998 2 MP stroke
-gs 3562 2947 103 103 MR c np
-3596 2981 mt 3630 3015 L
-3630 2981 mt 3596 3015 L
-gr
-
-gr
-
-c8
-0 sg
-3769 3131 mt
-(extrapoliert) s
-gs 3433 2832 871 334 MR c np
-DD
-c9
-258 0 3484 3100 2 MP stroke
-SO
-gr
-
-c9
-
-end %%Color Dict
-
-eplot
-%%EndObject
-
-epage
-end
-
-showpage
-
-%%Trailer
-%%EOF
projects / bacc.git / commitdiff