From af0f8222abfaf74ecdefdad1dc437e72ffb86bfa Mon Sep 17 00:00:00 2001
From: Peter Schaefer <peter.schaefer@tuwien.ac.at>
Date: Mon, 18 Mar 2013 09:50:43 +0100
Subject: [PATCH] [doc] neues Plot (Quadratur Test) und alte Plots aktualisiert

---
 doc/doc.pdf                               |  Bin 407100 -> 445963 bytes
 doc/doc.tex                               |   14 +-
 doc/fig/13t05n05_2DQuad_30_cond.eps       |   24 +-
 doc/fig/13t05n05_2DQuad_30_error.eps      |   10 +-
 doc/fig/13t05n05_2DQuad_30_hminmax.eps    |    4 +-
 doc/fig/13t05n05_2DQuad_30_norm.eps       |  224 +--
 doc/fig/22222t05n05_2DQuad_30_cond.eps    | 1063 ++++++++++++
 doc/fig/22222t05n05_2DQuad_30_error.eps   | 1808 +++++++++++++++++++++
 doc/fig/22222t05n05_2DQuad_30_hminmax.eps | 1782 ++++++++++++++++++++
 doc/fig/22222t05n05_2DQuad_30_norm.eps    |  940 +++++++++++
 10 files changed, 5736 insertions(+), 133 deletions(-)
 create mode 100644 doc/fig/22222t05n05_2DQuad_30_cond.eps
 create mode 100644 doc/fig/22222t05n05_2DQuad_30_error.eps
 create mode 100644 doc/fig/22222t05n05_2DQuad_30_hminmax.eps
 create mode 100644 doc/fig/22222t05n05_2DQuad_30_norm.eps

diff --git a/doc/doc.pdf b/doc/doc.pdf
index 34848b75d4dc5030b5fc50cbe21ac05ca1340215..641a8b05da419393291b4257910e793c8839d8fb 100644
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diff --git a/doc/doc.tex b/doc/doc.tex
index fefd225..19e90bf 100644
--- a/doc/doc.tex
+++ b/doc/doc.tex
@@ -1850,7 +1850,7 @@ Zum Plotten (Abb.\ref{fig:exmplAA_2DQuad})werden noch folgende Schritte ausgefü
 \end{figure}
 
 \begin{figure}[ht]
-\caption{12t05n05 2DQuad 31}
+\caption{2D Quad adaptiv anisotrop analytisch und volleQuadratur $V\phi = 1$}
 \centering
 \label{fig:12t05n05_2DQuad_31}
 \subfloat[Fehler]{\includegraphics[width=0.5\textwidth]{fig/12t05n05_2DQuad_31_error}}
@@ -1860,7 +1860,7 @@ Zum Plotten (Abb.\ref{fig:exmplAA_2DQuad})werden noch folgende Schritte ausgefü
 \end{figure}
 
 \begin{figure}[ht]
-\caption{13t05n05 2DQuad 30}
+\caption{2D Quad adaptiv anisotrop analytisch und Quadratur über ein Element und volleQuadratur $V\phi = 1$}
 \centering
 \label{fig:13t05n05_2DQuad_30}
 \subfloat[Fehler]{\includegraphics[width=0.5\textwidth]{fig/13t05n05_2DQuad_30_error}}
@@ -1869,6 +1869,16 @@ Zum Plotten (Abb.\ref{fig:exmplAA_2DQuad})werden noch folgende Schritte ausgefü
 \subfloat[Seitenverhältnis]{\includegraphics[width=0.5\textwidth]{fig/13t05n05_2DQuad_30_hminmax}}
 \end{figure}
 
+\begin{figure}[ht]
+\caption{2D Quad adaptiv anisotrop volleQuadratur mit verschiedenen Quadraturgraden $V\phi = 1$ (von oben nach unten $2^0,2^1,2^2,2^3,2^4$)}
+\centering
+\label{fig:22222t05n05_2DQuad_30}
+\subfloat[Fehler]{\includegraphics[width=0.5\textwidth]{fig/22222t05n05_2DQuad_30_error}}
+\subfloat[Energie Norm]{\includegraphics[width=0.5\textwidth]{fig/22222t05n05_2DQuad_30_norm}}\\
+\subfloat[Kondition]{\includegraphics[width=0.5\textwidth]{fig/22222t05n05_2DQuad_30_cond}}
+\subfloat[Seitenverhältnis]{\includegraphics[width=0.5\textwidth]{fig/22222t05n05_2DQuad_30_hminmax}}
+\end{figure}
+
 \section{Anhang Code}
 \todo{
 Die wichtigsten Funktionen
diff --git a/doc/fig/13t05n05_2DQuad_30_cond.eps b/doc/fig/13t05n05_2DQuad_30_cond.eps
index 1094999..e13ef1a 100644
--- a/doc/fig/13t05n05_2DQuad_30_cond.eps
+++ b/doc/fig/13t05n05_2DQuad_30_cond.eps
@@ -1,7 +1,7 @@
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+%%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.
 %%Title: ./13t05n05_2DQuad_30_cond.eps
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+%%CreationDate: 03/15/2013  13:33:32
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@@ -597,7 +597,7 @@ SO
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 /c8 { 0.000000 0.000000 1.000000 sr} bdef
 c8
-128 53 120 -142 122 11 107 -500 99 21 97 -151 94 5 87 -187 
+128 52 120 -142 122 11 107 -500 99 21 97 -151 94 5 87 -187 
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@@ -634,15 +634,15 @@ gs 1132 246 3187 2801 MR c np
   25   25 3897  428 FO
   25   25 4019  439 FO
   25   25 4139  297 FO
-  25   25 4267  350 FO
+  25   25 4267  349 FO
 gr
 
 gs 624 270 3721 2937 MR c np
-128 -197 120 27 122 -168 107 -177 99 32 97 -134 94 5 87 -182 
+128 -172 120 27 122 -166 107 -177 99 32 97 -134 94 5 87 -182 
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 45 0 62 -189 48 0 52 0 70 -189 51 0 90 -190 71 1 
 103 1 123 -184 190 -169 254 -166 560 -71 1183 2995 30 MP stroke
-gs 1132 395 3187 2652 MR c np
+gs 1132 422 3187 2625 MR c np
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 1726 2907 mt 1760 2941 L
@@ -697,12 +697,12 @@ gs 1132 395 3187 2652 MR c np
 3807  944 mt 3773  978 L
 3880  767 mt 3914  801 L
 3914  767 mt 3880  801 L
-4002  599 mt 4036  633 L
-4036  599 mt 4002  633 L
-4122  626 mt 4156  660 L
-4156  626 mt 4122  660 L
-4250  429 mt 4284  463 L
-4284  429 mt 4250  463 L
+4002  601 mt 4036  635 L
+4036  601 mt 4002  635 L
+4122  628 mt 4156  662 L
+4156  628 mt 4122  662 L
+4250  456 mt 4284  490 L
+4284  456 mt 4250  490 L
 gr
 
 gr
diff --git a/doc/fig/13t05n05_2DQuad_30_error.eps b/doc/fig/13t05n05_2DQuad_30_error.eps
index c06c1cf..a137c6a 100644
--- a/doc/fig/13t05n05_2DQuad_30_error.eps
+++ b/doc/fig/13t05n05_2DQuad_30_error.eps
@@ -1,7 +1,7 @@
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+%%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.
 %%Title: ./13t05n05_2DQuad_30_error.eps
-%%CreationDate: 09/01/2012  16:30:28
+%%CreationDate: 03/15/2013  13:33:30
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 %%Extensions: CMYK
@@ -473,7 +473,7 @@ SO
 gs 624 270 3721 2937 MR c np
 /c8 { 0.000000 0.000000 1.000000 sr} bdef
 c8
-128 -181 120 118 122 -3 107 14 99 72 97 70 94 67 87 69 
+128 -180 120 117 122 -2 107 14 99 72 97 70 94 67 87 69 
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 45 49 62 50 48 50 52 53 70 51 51 51 90 53 71 56 
 103 78 123 50 190 66 254 53 560 72 1183 932 30 MP stroke
@@ -505,9 +505,9 @@ gs 1132 881 3187 1693 MR c np
   25   25 3691 2321 FO
   25   25 3790 2393 FO
   25   25 3897 2407 FO
-  25   25 4019 2404 FO
+  25   25 4019 2405 FO
   25   25 4139 2522 FO
-  25   25 4267 2341 FO
+  25   25 4267 2342 FO
 gr
 
 /c9 { 0.000000 0.500000 0.000000 sr} bdef
diff --git a/doc/fig/13t05n05_2DQuad_30_hminmax.eps b/doc/fig/13t05n05_2DQuad_30_hminmax.eps
index ee39256..ddd04b5 100644
--- a/doc/fig/13t05n05_2DQuad_30_hminmax.eps
+++ b/doc/fig/13t05n05_2DQuad_30_hminmax.eps
@@ -1,7 +1,7 @@
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+%%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.
 %%Title: ./13t05n05_2DQuad_30_hminmax.eps
-%%CreationDate: 09/01/2012  16:30:29
+%%CreationDate: 03/15/2013  13:33:31
 %%DocumentNeededFonts: Helvetica
 %%DocumentProcessColors: Cyan Magenta Yellow Black
 %%Extensions: CMYK
diff --git a/doc/fig/13t05n05_2DQuad_30_norm.eps b/doc/fig/13t05n05_2DQuad_30_norm.eps
index 2810c47..721fd05 100644
--- a/doc/fig/13t05n05_2DQuad_30_norm.eps
+++ b/doc/fig/13t05n05_2DQuad_30_norm.eps
@@ -1,7 +1,7 @@
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+%%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.
 %%Title: ./13t05n05_2DQuad_30_norm.eps
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+%%CreationDate: 03/15/2013  13:33:31
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 %%Extensions: CMYK
@@ -184,33 +184,33 @@ c0
 1 sg
    0    0 4801 3603 PR
 4.16667 w
-0 2936 3720 0 0 -2936 624 3206 4 MP
+0 2936 3721 0 0 -2936 623 3206 4 MP
 PP
--3720 0 0 2936 3720 0 0 -2936 624 3206 5 MP stroke
+-3721 0 0 2936 3721 0 0 -2936 623 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
+ 623 3206 mt 4344 3206 L
+ 623  270 mt 4344  270 L
+ 623 3206 mt  623  270 L
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- 624 3206 mt 4344 3206 L
- 624 3206 mt  624  270 L
- 624 3206 mt  624 3187 L
- 624  270 mt  624  288 L
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- 624  270 mt  624  307 L
+ 623 3206 mt 4344 3206 L
+ 623 3206 mt  623  270 L
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+ 623  270 mt  623  288 L
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  903  270 mt  903  288 L
@@ -332,25 +332,25 @@ SO
 
 4375 3281 mt 
 (4) s
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+ 623 3206 mt  623 3206 L
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@@ -362,25 +362,25 @@ SO
 
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 (0.63) s
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diff --git a/doc/fig/22222t05n05_2DQuad_30_norm.eps b/doc/fig/22222t05n05_2DQuad_30_norm.eps
new file mode 100644
index 0000000..cc7d2f5
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+  0 0 1 5 -2 roll arc closepath tMatrix setmatrix fill} bdef
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+  /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
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+/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
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+/PtbRR {MtbRR fill } bdef
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+/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
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+
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+2574  656 mt 2574  706 L
+2600  640 mt 2650  640 L
+2625  615 mt 2625  665 L
+2670  610 mt 2720  610 L
+2695  585 mt 2695  635 L
+2722  591 mt 2772  591 L
+2747  566 mt 2747  616 L
+2770  576 mt 2820  576 L
+2795  551 mt 2795  601 L
+2832  566 mt 2882  566 L
+2857  541 mt 2857  591 L
+2877  558 mt 2927  558 L
+2902  533 mt 2902  583 L
+2938  552 mt 2988  552 L
+2963  527 mt 2963  577 L
+2999  549 mt 3049  549 L
+3024  524 mt 3024  574 L
+3059  546 mt 3109  546 L
+3084  521 mt 3084  571 L
+3123  544 mt 3173  544 L
+3148  519 mt 3148  569 L
+3177  543 mt 3227  543 L
+3202  518 mt 3202  568 L
+3261  542 mt 3311  542 L
+3286  517 mt 3286  567 L
+3316  541 mt 3366  541 L
+3341  516 mt 3341  566 L
+3388  541 mt 3438  541 L
+3413  516 mt 3413  566 L
+3475  540 mt 3525  540 L
+3500  515 mt 3500  565 L
+3569  540 mt 3619  540 L
+3594  515 mt 3594  565 L
+3666  540 mt 3716  540 L
+3691  515 mt 3691  565 L
+3765  540 mt 3815  540 L
+3790  515 mt 3790  565 L
+3872  540 mt 3922  540 L
+3897  515 mt 3897  565 L
+3994  539 mt 4044  539 L
+4019  514 mt 4019  564 L
+4114  539 mt 4164  539 L
+4139  514 mt 4139  564 L
+4242  539 mt 4292  539 L
+4267  514 mt 4267  564 L
+gr
+
+gs 624 269 3721 2937 MR c np
+DD
+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 -3 61 -6 
+45 -8 62 -10 48 -15 52 -19 70 -30 51 -41 90 -53 71 -88 
+103 -166 123 -198 190 -323 254 -474 560 -1222 1183 3205 30 MP stroke
+/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 539 30 MP stroke
+gr
+
+c9
+DD
+0 sg
+%%IncludeResource: font Helvetica
+/Helvetica /ISOLatin1Encoding 83.3333 FMSR
+
+2030  205 mt 
+(Energie Norm \(2DQuad\)) 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
+0 636 982 0 0 -636 3321 3165 4 MP
+PP
+-982 0 0 636 982 0 0 -636 3321 3165 5 MP stroke
+2.77778 w
+DO
+SO
+4.16667 w
+0 sg
+3321 3165 mt 4303 3165 L
+3321 2529 mt 4303 2529 L
+3321 3165 mt 3321 2529 L
+4303 3165 mt 4303 2529 L
+3321 3165 mt 4303 3165 L
+3321 3165 mt 3321 2529 L
+3321 3165 mt 4303 3165 L
+3321 2529 mt 4303 2529 L
+3321 3165 mt 3321 2529 L
+4303 3165 mt 4303 2529 L
+3667 2624 mt 
+(22222t05n05 QA) s
+gs 3321 2529 983 637 MR c np
+c8
+266 0 3374 2593 2 MP stroke
+gs 3456 2542 103 103 MR c np
+  25   25 3507 2593 FO
+gr
+
+gr
+
+c8
+0 sg
+3667 2725 mt 
+(22222t05n05 QA) s
+gs 3321 2529 983 637 MR c np
+c8
+266 0 3374 2695 2 MP stroke
+gs 3456 2644 103 103 MR c np
+3490 2678 mt 3524 2712 L
+3524 2678 mt 3490 2712 L
+gr
+
+gr
+
+c8
+0 sg
+3667 2827 mt 
+(22222t05n05 QA) s
+gs 3321 2529 983 637 MR c np
+c8
+266 0 3374 2796 2 MP stroke
+gs 3456 2745 103 103 MR c np
+3482 2796 mt 3532 2796 L
+3507 2771 mt 3507 2821 L
+3490 2779 mt 3524 2813 L
+3524 2779 mt 3490 2813 L
+gr
+
+gr
+
+c8
+0 sg
+3667 2928 mt 
+(22222t05n05 QA) s
+gs 3321 2529 983 637 MR c np
+c8
+266 0 3374 2897 2 MP stroke
+gs 3456 2846 103 103 MR c np
+3482 2897 mt 3532 2897 L
+3507 2872 mt 3507 2922 L
+gr
+
+gr
+
+c8
+0 sg
+3667 3030 mt 
+(22222t05n05 QA) s
+gs 3321 2529 983 637 MR c np
+DD
+c8
+266 0 3374 2998 2 MP stroke
+SO
+gr
+
+c8
+0 sg
+3667 3131 mt 
+(extrapoliert) s
+gs 3321 2529 983 637 MR c np
+DD
+c9
+266 0 3374 3100 2 MP stroke
+SO
+gr
+
+c9
+
+end %%Color Dict
+
+eplot
+%%EndObject
+
+epage
+end
+
+showpage
+
+%%Trailer
+%%EOF
-- 
2.47.3