From: Peter Schaefer <peter.schaefer@tuwien.ac.at>
Date: Sun, 24 Mar 2013 13:18:14 +0000 (+0100)
Subject: [doc] Netze aktualisiert
X-Git-Url: https://git.leopard-lacewing.eu/?a=commitdiff_plain;h=18c2127c3de81382dd8c66a917feaca3a0133450;p=bacc.git

[doc] Netze aktualisiert
[doc] Inhalte angepasst
---

diff --git a/doc/doc.pdf b/doc/doc.pdf
index 8cd144d..4beedf7 100644
Binary files a/doc/doc.pdf and b/doc/doc.pdf differ
diff --git a/doc/doc.tex b/doc/doc.tex
index 8392a2e..9664a72 100644
--- a/doc/doc.tex
+++ b/doc/doc.tex
@@ -159,6 +159,20 @@ Abschließend werden wir kurz die numerische Umsetzung der Techniken vorstellen
 \end{itemize}
 }
 
+\noindent
+An dieser Stelle betrachten wir die homogene Laplace-Gleichung mit Dirichlet-\-Rand\-bedingungen
+\begin{align*} \label{math:num:lapGLS}
+- \varDelta u  &= 0 \quad\text{ in } \Omega \subset \R^3,	\\
+u &=  g \quad \text{ auf }\Gamma,
+\end{align*}
+wobei $\varDelta u := \partial_x^2u+\partial_y^2u+\partial_z^2u$ den Laplace-Operator bezeichnet und $\Omega \subset \R^3$ eine beschränkte Teilmenge von $\R^3$ mit Lipschitz-Rand $\Gamma := \partial \Omega$ ist.\\
+
+\begin{align}
+  V \phi := - \frac 1 {4\pi} \int_{T_j} \int_{T_k} \frac {1}{\abs{\bs x - \bs y}} \phi(\bs y) ds_{\bs y} ds_{\bs x}
+\end{align}
+
+
+
 
 % \noindent
 % Wir wissen, dass die Laplace-Gleichung erfüllt wird durch:
@@ -1662,18 +1676,17 @@ Da wir später den Fehlerschätzer berechnen wollen, ist es wichtig sich zu jede
 \end{itemize}
 }
 
-
-
 \subsection{Fehlerschätzer}
-In diesem Abschnitt definieren wir die a-posteriori Fehlerschätzer, die wir im Folgenden zur Steuerung des adaptiven Algorithmus einsetzen werden. Wir verwenden dazu die $h-h/2$ Strategie aus Ferraz-Leite, wo die folgende Aussage bewiesen wird.
-
-\begin{defi}Es bezeichne $\phi$ die Lösung von Formel , $\phi_{\ell}$ die Galerkinlösung auf dem Gitter $\T_{\ell}$ und $\hat \phi_{\ell}$ die Galerkinlösung auf dem uniform verfeinerten Gitter $\hat \T_{\ell}$. Dann gilt, der Schätzer
+In diesem Abschnitt definieren wir die a-posteriori Fehlerschätzer, die wir zur Steuerung des adaptiven Algorithmus einsetzen werden.
+Wir verwenden dazu die $h-h/2$ Strategie aus \cite{fer:errbem}. 
+Im Folgenden bezeichnen wir mit $\hat \T_{\ell}$ das Gitter welches entsteht, wenn das Gitter $\T_{\ell}$ uniform, also entlang aller Kanten geteilt wird. Weiterhin bezeichne $\phi$ die exakte Lösung des Galerkin-Verfahrens und $\phi_{\ell}$ die Lösung zum Gitter $\T_{\ell}$, sowie $\hat \phi_{\ell}$ die Lösung zum uniformen Gitter $\hat \T_{\ell}$. 
+\begin{defi}Es bezeichne $\phi$ die Lösung von Formel \todo{ref}, $\phi_{\ell}$ die Galerkin-Lösung auf dem Gitter $\T_{\ell}$ und $\hat \phi_{\ell}$ die Lösung auf dem uniform verfeinerten Gitter $\hat \T_{\ell}$. Dann gilt, der Schätzer
 \begin{align}
 \eta_{\ell} &:= \enorm{\hat \phi_{\ell} - \phi_{\ell}}
 \end{align}
 ist effizient
 \begin{align}
-\eta_{ell} &\leq \enorm{\phi - \phi_{\ell}}
+\eta_{\ell} &\leq \enorm{\phi - \phi_{\ell}}
 \end{align}
 und unter der Saturationsannahme
 \begin{align}
@@ -1705,7 +1718,8 @@ Dann gilt auf isotropen Netzen:
 \end{itemize}
 
 
-Siehe S.F. Paper $\mapsto$ THM 3.2 \& 3.4
+Siehe \cite[Theorem 3.2 \& 3.4]{fer:errbem}.
+
 
 
 
@@ -1781,6 +1795,7 @@ $marked = mark(xF2S, mu, theta, nu);$
 \subsection{Adaptiver Algorithmus}
 Mithilfe der oben Definierten Funktionen ist es uns nun möglich den Ablauf der Berechnungen zusammen zu fassen.
 
+\begin{alg}[Adaptives Verfahren]
 $\theta \in (0,1),i =0$
 \begin{enumerate}
 \renewcommand{\theenumi}{(\roman{enumi})}
@@ -1794,6 +1809,7 @@ $\theta \in (0,1),i =0$
 \item Verfeinere die Markierten Elemente $M_{\ell}$ um $\T_{\ell}^{(i+1)}$ zu erhalten
 \item $i \mapsto i+1$, gehe zu $(i)$
 \end{enumerate}
+\end{alg}
 
 Zum Plotten (Abb.\ref{fig:exmplAA_2DQuad})werden noch folgende Schritte ausgeführt
 \begin{itemize}
@@ -1834,7 +1850,6 @@ Zum Plotten (Abb.\ref{fig:exmplAA_2DQuad})werden noch folgende Schritte ausgefü
 \showMesh[Beispiel 1.2]{exmpl12}
 \showMesh[Beispiel 1.3]{exmpl13}
 
-
 \begin{figure}[ht]
 \caption{Objekt Beispiele}
 \centering
diff --git a/doc/fig/exmpl11_ref.eps b/doc/fig/exmpl11_ref.eps
index 02e704b..838df55 100644
--- a/doc/fig/exmpl11_ref.eps
+++ b/doc/fig/exmpl11_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 3.2.0-29-generic #46-Ubuntu SMP Fri Jul 27 17:03:23 UTC 2012 x86_64.
+%%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: ../doc/fig/exmpl11_ref.eps
-%%CreationDate: 09/01/2012  16:57:04
+%%CreationDate: 03/21/2013  23:08:01
 %%DocumentNeededFonts: Helvetica
 %%DocumentProcessColors: Cyan Magenta Yellow Black
 %%Extensions: CMYK
diff --git a/doc/fig/exmpl12_ref.eps b/doc/fig/exmpl12_ref.eps
index a6edf03..9d24505 100644
--- a/doc/fig/exmpl12_ref.eps
+++ b/doc/fig/exmpl12_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 3.2.0-29-generic #46-Ubuntu SMP Fri Jul 27 17:03:23 UTC 2012 x86_64.
+%%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: ../doc/fig/exmpl12_ref.eps
-%%CreationDate: 09/01/2012  16:57:04
+%%CreationDate: 03/21/2013  23:08:01
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 %%DocumentProcessColors: Cyan Magenta Yellow Black
 %%Extensions: CMYK
diff --git a/doc/fig/exmpl13_ref.eps b/doc/fig/exmpl13_ref.eps
index 822eced..1bbc793 100644
--- a/doc/fig/exmpl13_ref.eps
+++ b/doc/fig/exmpl13_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 3.2.0-29-generic #46-Ubuntu SMP Fri Jul 27 17:03:23 UTC 2012 x86_64.
+%%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: ../doc/fig/exmpl13_ref.eps
-%%CreationDate: 09/01/2012  16:57:05
+%%CreationDate: 03/21/2013  23:08:02
 %%DocumentNeededFonts: Helvetica
 %%DocumentProcessColors: Cyan Magenta Yellow Black
 %%Extensions: CMYK
diff --git a/doc/fig/exmpl_2DLShape_ref.eps b/doc/fig/exmpl_2DLShape_ref.eps
index bc039bb..22aa1c4 100644
--- a/doc/fig/exmpl_2DLShape_ref.eps
+++ b/doc/fig/exmpl_2DLShape_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 3.2.0-29-generic #46-Ubuntu SMP Fri Jul 27 17:03:23 UTC 2012 x86_64.
+%%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: ../doc/fig/exmpl_2DLShape_ref.eps
-%%CreationDate: 09/01/2012  16:57:05
+%%CreationDate: 03/21/2013  23:08:02
 %%DocumentNeededFonts: Helvetica
 %%DocumentProcessColors: Cyan Magenta Yellow Black
 %%Extensions: CMYK
diff --git a/doc/fig/exmpl_2DQuad_ref.eps b/doc/fig/exmpl_2DQuad_ref.eps
index 0faf90b..1f00ddd 100644
--- a/doc/fig/exmpl_2DQuad_ref.eps
+++ b/doc/fig/exmpl_2DQuad_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 3.2.0-29-generic #46-Ubuntu SMP Fri Jul 27 17:03:23 UTC 2012 x86_64.
+%%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: ../doc/fig/exmpl_2DQuad_ref.eps
-%%CreationDate: 09/01/2012  16:57:05
+%%CreationDate: 03/21/2013  23:08:03
 %%DocumentNeededFonts: Helvetica
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diff --git a/doc/fig/exmpl_3DCube_coo.tex b/doc/fig/exmpl_3DCube_coo.tex
index d87476f..fac83c9 100644
--- a/doc/fig/exmpl_3DCube_coo.tex
+++ b/doc/fig/exmpl_3DCube_coo.tex
@@ -2,11 +2,29 @@
 \rowcolor{gray}
  Index & x1 & x2 & x3\\
     1 & 0 & 0 & 0\\
-    2 & 1 & 0 & 0\\
-    3 & 0 & 1 & 0\\
-    4 & 1 & 1 & 0\\
-    5 & 0 & 0 & 1\\
-    6 & 1 & 0 & 1\\
-    7 & 0 & 1 & 1\\
-    8 & 1 & 1 & 1
+    2 & 0 & 0 & 0.5\\
+    3 & 0 & 0 & 1\\
+    4 & 0 & 0.5 & 0\\
+    5 & 0 & 0.5 & 0.5\\
+    6 & 0 & 0.5 & 1\\
+    7 & 0 & 1 & 0\\
+    8 & 0 & 1 & 0.5\\
+    9 & 0 & 1 & 1\\
+    10 & 0.5 & 0 & 0\\
+    11 & 0.5 & 0 & 0.5\\
+    12 & 0.5 & 0 & 1\\
+    13 & 0.5 & 0.5 & 0\\
+    14 & 0.5 & 0.5 & 1\\
+    15 & 0.5 & 1 & 0\\
+    16 & 0.5 & 1 & 0.5\\
+    17 & 0.5 & 1 & 1\\
+    18 & 1 & 0 & 0\\
+    19 & 1 & 0 & 0.5\\
+    20 & 1 & 0 & 1\\
+    21 & 1 & 0.5 & 0\\
+    22 & 1 & 0.5 & 0.5\\
+    23 & 1 & 0.5 & 1\\
+    24 & 1 & 1 & 0\\
+    25 & 1 & 1 & 0.5\\
+    26 & 1 & 1 & 1
 \end{tabular}
diff --git a/doc/fig/exmpl_3DCube_ele.tex b/doc/fig/exmpl_3DCube_ele.tex
index 6858f5c..1ac48b1 100644
--- a/doc/fig/exmpl_3DCube_ele.tex
+++ b/doc/fig/exmpl_3DCube_ele.tex
@@ -1,11 +1,29 @@
 \begin{tabular}{>{\columncolor{gray}}rcccc}
 \rowcolor{gray}
  Index & c1 & c2 & c3 & c4\\
-   1 & 1 & 3 & 4 & 2\\
-   2 & 1 & 2 & 6 & 5\\
-   3 & 1 & 5 & 7 & 3\\
-   4 & 2 & 4 & 8 & 6\\
-   5 & 3 & 7 & 8 & 4\\
-   6 & 5 & 6 & 8 & 7
+   1 & 10 & 13 & 21 & 18\\
+   2 & 2 & 11 & 12 & 3\\
+   3 & 4 & 5 & 8 & 7\\
+   4 & 19 & 22 & 23 & 20\\
+   5 & 15 & 16 & 25 & 24\\
+   6 & 6 & 14 & 17 & 9\\
+   7 & 13 & 15 & 24 & 21\\
+   8 & 4 & 7 & 15 & 13\\
+   9 & 1 & 4 & 13 & 10\\
+   10 & 1 & 10 & 11 & 2\\
+   11 & 5 & 6 & 9 & 8\\
+   12 & 2 & 3 & 6 & 5\\
+   13 & 1 & 2 & 5 & 4\\
+   14 & 22 & 25 & 26 & 23\\
+   15 & 21 & 24 & 25 & 22\\
+   16 & 18 & 21 & 22 & 19\\
+   17 & 16 & 17 & 26 & 25\\
+   18 & 8 & 9 & 17 & 16\\
+   19 & 7 & 8 & 16 & 15\\
+   20 & 3 & 12 & 14 & 6\\
+   21 & 11 & 19 & 20 & 12\\
+   22 & 14 & 23 & 26 & 17\\
+   23 & 10 & 18 & 19 & 11\\
+   24 & 12 & 20 & 23 & 14
 \end{tabular}
 \label{exmpl_3DCube:ele}
\ No newline at end of file
diff --git a/doc/fig/exmpl_3DCube_nei.tex b/doc/fig/exmpl_3DCube_nei.tex
index 684376c..a06c2c4 100644
--- a/doc/fig/exmpl_3DCube_nei.tex
+++ b/doc/fig/exmpl_3DCube_nei.tex
@@ -1,11 +1,29 @@
 \begin{tabular}{>{\columncolor{gray}}rcccccccc}
 \rowcolor{gray}
  Index & n1 & n2 & n3 & n4 & n5 & n6 & n7 & n8\\
-   1 & 3 & 5 & 3 & 2 & 0 & 0 & 0 & 0\\
-   2 & 1 & 4 & 6 & 3 & 0 & 0 & 0 & 0\\
-   3 & 2 & 6 & 5 & 1 & 0 & 0 & 0 & 0\\
-   4 & 1 & 5 & 6 & 2 & 0 & 0 & 0 & 0\\
-   5 & 3 & 6 & 4 & 1 & 0 & 0 & 0 & 0\\
-   6 & 2 & 4 & 5 & 3 & 0 & 0 & 0 & 0
+   1 & 9 & 7 & 16 & 23 & 0 & 0 & 0 & 0\\
+   2 & 10 & 21 & 20 & 12 & 0 & 0 & 0 & 0\\
+   3 & 13 & 11 & 19 & 8 & 0 & 0 & 0 & 0\\
+   4 & 16 & 14 & 24 & 21 & 0 & 0 & 0 & 0\\
+   5 & 19 & 17 & 15 & 7 & 0 & 0 & 0 & 0\\
+   6 & 20 & 22 & 18 & 11 & 0 & 0 & 0 & 0\\
+   7 & 8 & 5 & 15 & 1 & 0 & 0 & 0 & 0\\
+   8 & 3 & 19 & 7 & 9 & 0 & 0 & 0 & 0\\
+   9 & 13 & 8 & 1 & 10 & 0 & 0 & 0 & 0\\
+   10 & 9 & 23 & 2 & 13 & 0 & 0 & 0 & 0\\
+   11 & 12 & 6 & 18 & 3 & 0 & 0 & 0 & 0\\
+   12 & 2 & 20 & 11 & 13 & 0 & 0 & 0 & 0\\
+   13 & 10 & 12 & 3 & 9 & 0 & 0 & 0 & 0\\
+   14 & 15 & 17 & 22 & 4 & 0 & 0 & 0 & 0\\
+   15 & 7 & 5 & 14 & 16 & 0 & 0 & 0 & 0\\
+   16 & 1 & 15 & 4 & 23 & 0 & 0 & 0 & 0\\
+   17 & 18 & 22 & 14 & 5 & 0 & 0 & 0 & 0\\
+   18 & 11 & 6 & 17 & 19 & 0 & 0 & 0 & 0\\
+   19 & 3 & 18 & 5 & 8 & 0 & 0 & 0 & 0\\
+   20 & 2 & 24 & 6 & 12 & 0 & 0 & 0 & 0\\
+   21 & 23 & 4 & 24 & 2 & 0 & 0 & 0 & 0\\
+   22 & 24 & 14 & 17 & 6 & 0 & 0 & 0 & 0\\
+   23 & 1 & 16 & 21 & 10 & 0 & 0 & 0 & 0\\
+   24 & 21 & 4 & 22 & 20 & 0 & 0 & 0 & 0
 \end{tabular}
 \label{exmpl_3DCube:nei}
\ No newline at end of file
diff --git a/doc/fig/exmpl_3DCube_ref.eps b/doc/fig/exmpl_3DCube_ref.eps
index 4ff0d01..8c39e15 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 3.2.0-29-generic #46-Ubuntu SMP Fri Jul 27 17:03:23 UTC 2012 x86_64.
+%%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: ../doc/fig/exmpl_3DCube_ref.eps
-%%CreationDate: 09/01/2012  16:57:05
+%%CreationDate: 03/21/2013  23:08:03
 %%DocumentNeededFonts: Helvetica
 %%DocumentProcessColors: Cyan Magenta Yellow Black
 %%Extensions: CMYK
@@ -262,14 +262,20 @@ gs 623 269 3721 2937 MR c np
 8.33333 w
 /c8 { 0.000000 0.400000 0.400000 sr} bdef
 c8
-4033 2486 mt 2279 2961 L
-4033 2486 mt 4033 1133 L
-2688  514 mt 2688 1866 L
-2688 1866 mt 2688  514 L
-4033 1133 mt 2279 1609 L
-4033 2486 mt 2688 1866 L
-4033 1133 mt 4033 2486 L
-4033 1133 mt 2688  514 L
+4033 2486 mt 3156 2723 L
+4033 1810 mt 3361 1500 L
+4033 1133 mt 4033 1810 L
+4033 2486 mt 3361 2176 L
+4033 1810 mt 4033 2486 L
+4033 1810 mt 4033 1133 L
+3361  824 mt 3361 1500 L
+3361 1500 mt 3361  824 L
+4033 1133 mt 3156 1371 L
+4033 2486 mt 4033 1810 L
+3361 2176 mt 3361 1500 L
+3361 1500 mt 3361 2176 L
+4033 1810 mt 3156 2047 L
+4033 1133 mt 3361  824 L
 gr
 
 8.33333 w
@@ -277,74 +283,247 @@ c8
 /c9 { 1.000000 0.000000 0.000000 sr} bdef
 c9
 4011 2479 mt 
-(2) s
+(18) s
+4011 1803 mt 
+(19) s
 4011 1127 mt 
-(6) s
+(20) s
 0 sg
-3361 1530 mt 
+3697 1347 mt 
 (\(4\)) s
+3697 2023 mt 
+(\(16\)) s
+3595 1620 mt 
+(\(21\)) s
+3595 2296 mt 
+(\(23\)) s
+gs 623 269 3721 2937 MR c np
+c8
+3361 2176 mt 4033 2486 L
+3361  824 mt 4033 1133 L
+3361 2176 mt 2483 2414 L
+3361 1500 mt 2688 1190 L
+3361 2176 mt 2688 1866 L
+3361 1500 mt 4033 1810 L
+3361  824 mt 2688  514 L
+2688  514 mt 2688 1190 L
+2688 1190 mt 2688  514 L
+3361  824 mt 2483 1061 L
+gr
+
+c8
+c9
+3338 2169 mt 
+(21) s
+3338 1493 mt 
+(22) s
+3338  817 mt 
+(23) s
+0 sg
+3258 2480 mt 
+(\(1\)) s
+3258 1127 mt 
+(\(24\)) s
 3194 3389 mt 
 (x) s
-3156 2077 mt 
+gs 623 269 3721 2937 MR c np
+c8
+3156 2723 mt 2483 2414 L
+3156 2047 mt 3156 1371 L
+2688 1190 mt 3361 1500 L
+2688 1866 mt 2688 1190 L
+2688 1190 mt 2688 1866 L
+3156 1371 mt 2279 1609 L
+3156 2723 mt 2279 2961 L
+3156 2723 mt 3156 2047 L
+2688 1866 mt 3361 2176 L
+3156 2047 mt 2279 2285 L
+3156 1371 mt 2483 1061 L
+3156 2047 mt 4033 1810 L
+3156 1371 mt 3156 2047 L
+3156 2723 mt 4033 2486 L
+3156 2047 mt 3156 2723 L
+3156 1371 mt 4033 1133 L
+gr
+
+c8
+c9
+3134 2716 mt 
+(10) s
+3134 2040 mt 
+(11) s
+3134 1364 mt 
+(12) s
+0 sg
+3024 1037 mt 
+(\(14\)) s
+3024 1713 mt 
+(\(15\)) s
+2718 1858 mt 
 (\(2\)) s
+2718 2534 mt 
+(\(10\)) s
 gs 623 269 3721 2937 MR c np
 c8
-2688 1866 mt 4033 2486 L
-2688  514 mt 4033 1133 L
-2688 1866 mt  933 2342 L
-2688  514 mt  933  989 L
+2688 1866 mt 1811 2104 L
+2688  514 mt 3361  824 L
+2688 1190 mt 1811 1428 L
+2688  514 mt 1811  752 L
 gr
 
 c8
 c9
 2665 1859 mt 
-(4) s
+(24) s
+2665 1183 mt 
+(25) s
 2665  507 mt 
-(8) s
+(26) s
 0 sg
-2483 2444 mt 
-(\(1\)) s
-2483 1091 mt 
-(\(6\)) s
+2586 2170 mt 
+(\(7\)) s
+2586  818 mt 
+(\(22\)) s
+gs 623 269 3721 2937 MR c np
+c8
+2483 2414 mt 3361 2176 L
+2483 1061 mt 1811  752 L
+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
+2483 1061 mt 1606 1299 L
+2483 1061 mt 3361  824 L
+2483 1061 mt 3156 1371 L
+gr
+
+c8
+c9
+2461 2407 mt 
+(13) s
+2461 1055 mt 
+(14) s
+0 sg
+2381 2717 mt 
+(\(9\)) s
+2381 1365 mt 
+(\(20\)) s
 gs 623 269 3721 2937 MR c np
 c8
-2279 2961 mt  933 2342 L
-2279 2961 mt 4033 2486 L
-2279 1609 mt 2279 2961 L
-2279 2961 mt 2279 1609 L
-2279 1609 mt  933  989 L
-2279 1609 mt 4033 1133 L
+2279 2285 mt 3156 2047 L
+2279 1609 mt 2279 2285 L
+2279 2961 mt 1606 2651 L
+2279 2961 mt 3156 2723 L
+2279 2285 mt 2279 2961 L
+2279 2285 mt 2279 1609 L
+1811 1428 mt 2688 1190 L
+2279 1609 mt 1606 1299 L
+2279 2961 mt 2279 2285 L
+1811 1428 mt 1811 2104 L
+1811 2104 mt 2688 1866 L
+1811 2104 mt 1811 1428 L
+2279 2285 mt 1606 1975 L
+2279 1609 mt 3156 1371 L
 gr
 
 c8
 c9
 2257 2954 mt 
 (1) s
+2257 2278 mt 
+(2) s
 2257 1602 mt 
-(5) s
+(3) s
 0 sg
-1811 1458 mt 
+2249 1677 mt 
 (\(5\)) s
-1606 2005 mt 
-(\(3\)) s
+2249 1001 mt 
+(\(17\)) s
+1943 1822 mt 
+(\(12\)) s
+1943 2498 mt 
+(\(13\)) s
+gs 623 269 3721 2937 MR c np
+c8
+1811  752 mt  933  989 L
+1811 2104 mt 2483 2414 L
+1811  752 mt 2688  514 L
+1811 1428 mt  933 1665 L
+1811 2104 mt  933 2342 L
+1811  752 mt 2483 1061 L
+gr
+
+c8
+c9
+1788 2097 mt 
+(15) s
+1788 1421 mt 
+(16) s
+1788  745 mt 
+(17) s
+0 sg
+1708 1055 mt 
+(\(6\)) s
+1708 2408 mt 
+(\(8\)) s
+gs 623 269 3721 2937 MR c np
+c8
+1606 2651 mt 1606 1975 L
+1606 1975 mt  933 1665 L
+1606 1299 mt 2483 1061 L
+1606 2651 mt  933 2342 L
+1606 2651 mt 2483 2414 L
+1606 1975 mt 1606 1299 L
+1606 1299 mt  933  989 L
+1606 1299 mt 1606 1975 L
+1606 1975 mt 2279 2285 L
+1606 1975 mt 1606 2651 L
+1606 2651 mt 2279 2961 L
+1606 1299 mt 2279 1609 L
+gr
+
+c8
+c9
+1584 2644 mt 
+(4) s
+1584 1968 mt 
+(5) s
+1584 1292 mt 
+(6) s
+0 sg
 1363 3346 mt 
 (y) s
+1372 1239 mt 
+(\(18\)) s
+1372 1915 mt 
+(\(19\)) s
+1270 2188 mt 
+(\(3\)) s
+1270 1512 mt 
+(\(11\)) s
 gs 623 269 3721 2937 MR c np
 c8
- 933 2342 mt 2688 1866 L
- 933  989 mt  933 2342 L
- 933 2342 mt 2279 2961 L
- 933 2342 mt  933  989 L
- 933  989 mt 2688  514 L
- 933  989 mt 2279 1609 L
+ 933 1665 mt  933 2342 L
+ 933 2342 mt 1606 2651 L
+ 933  989 mt 1606 1299 L
+ 933 2342 mt 1811 2104 L
+ 933  989 mt  933 1665 L
+ 933 1665 mt 1606 1975 L
+ 933 1665 mt  933  989 L
+ 933  989 mt 1811  752 L
+ 933 2342 mt  933 1665 L
+ 933 1665 mt 1811 1428 L
 gr
 
 c8
 c9
  911 2335 mt 
-(3) s
- 911  983 mt 
 (7) s
+ 911 1659 mt 
+(8) s
+ 911  983 mt 
+(9) s
 0 sg
  380 1673 mt  -90 rotate
 (z) s
diff --git a/doc/fig/exmpl_3DFichCube_coo.tex b/doc/fig/exmpl_3DFichCube_coo.tex
index efb0ad5..b8d5768 100644
--- a/doc/fig/exmpl_3DFichCube_coo.tex
+++ b/doc/fig/exmpl_3DFichCube_coo.tex
@@ -1,24 +1,30 @@
 \begin{tabular}{>{\columncolor{gray}}rccc}
 \rowcolor{gray}
  Index & x1 & x2 & x3\\
-    1 & 0 & 0 & 0\\
-    2 & -1 & 0 & 0\\
-    3 & -1 & 1 & 0\\
-    4 & 0 & 1 & 0\\
-    5 & 0 & 1 & 1\\
-    6 & 0 & 0 & 1\\
-    7 & -1 & 0 & 1\\
-    8 & -1 & -1 & -1\\
-    9 & -1 & 0 & -1\\
-    10 & -1 & 1 & -1\\
-    11 & 0 & 1 & -1\\
-    12 & 1 & 1 & -1\\
-    13 & 1 & 1 & 0\\
-    14 & 1 & 1 & 1\\
-    15 & 1 & 0 & 1\\
-    16 & 1 & -1 & 1\\
-    17 & 0 & -1 & 1\\
-    18 & -1 & -1 & 1\\
-    19 & -1 & -1 & 0\\
-    20 & 1 & -1 & -1
+    1 & -1 & -1 & -1\\
+    2 & -1 & -1 & 0\\
+    3 & -1 & -1 & 1\\
+    4 & -1 & 0 & -1\\
+    5 & -1 & 0 & 0\\
+    6 & -1 & 0 & 1\\
+    7 & -1 & 1 & -1\\
+    8 & -1 & 1 & 0\\
+    9 & 0 & -1 & -1\\
+    10 & 0 & -1 & 0\\
+    11 & 0 & -1 & 1\\
+    12 & 0 & 0 & -1\\
+    13 & 0 & 0 & 0\\
+    14 & 0 & 0 & 1\\
+    15 & 0 & 1 & -1\\
+    16 & 0 & 1 & 0\\
+    17 & 0 & 1 & 1\\
+    18 & 1 & -1 & -1\\
+    19 & 1 & -1 & 0\\
+    20 & 1 & -1 & 1\\
+    21 & 1 & 0 & -1\\
+    22 & 1 & 0 & 0\\
+    23 & 1 & 0 & 1\\
+    24 & 1 & 1 & -1\\
+    25 & 1 & 1 & 0\\
+    26 & 1 & 1 & 1
 \end{tabular}
diff --git a/doc/fig/exmpl_3DFichCube_ele.tex b/doc/fig/exmpl_3DFichCube_ele.tex
index 288321f..4e5860d 100644
--- a/doc/fig/exmpl_3DFichCube_ele.tex
+++ b/doc/fig/exmpl_3DFichCube_ele.tex
@@ -1,20 +1,29 @@
 \begin{tabular}{>{\columncolor{gray}}rcccc}
 \rowcolor{gray}
  Index & c1 & c2 & c3 & c4\\
-   1 & 1 & 2 & 3 & 4\\
-   2 & 1 & 4 & 5 & 6\\
-   3 & 1 & 6 & 7 & 2\\
-   4 & 2 & 3 & 10 & 9\\
-   5 & 3 & 10 & 11 & 4\\
-   6 & 4 & 11 & 12 & 13\\
-   7 & 4 & 13 & 14 & 5\\
-   8 & 5 & 14 & 15 & 6\\
-   9 & 6 & 15 & 16 & 17\\
-   10 & 6 & 17 & 18 & 7\\
-   11 & 7 & 18 & 19 & 2\\
-   12 & 2 & 19 & 8 & 9\\
-   13 & 8 & 10 & 12 & 20\\
-   14 & 20 & 12 & 14 & 16\\
-   15 & 20 & 16 & 18 & 8
+   1 & 5 & 13 & 16 & 8\\
+   2 & 13 & 14 & 17 & 16\\
+   3 & 5 & 6 & 14 & 13\\
+   4 & 4 & 5 & 8 & 7\\
+   5 & 7 & 8 & 16 & 15\\
+   6 & 15 & 16 & 25 & 24\\
+   7 & 16 & 17 & 26 & 25\\
+   8 & 14 & 23 & 26 & 17\\
+   9 & 11 & 20 & 23 & 14\\
+   10 & 3 & 11 & 14 & 6\\
+   11 & 2 & 3 & 6 & 5\\
+   12 & 1 & 2 & 5 & 4\\
+   13 & 9 & 12 & 21 & 18\\
+   14 & 19 & 22 & 23 & 20\\
+   15 & 2 & 10 & 11 & 3\\
+   16 & 12 & 15 & 24 & 21\\
+   17 & 4 & 7 & 15 & 12\\
+   18 & 1 & 4 & 12 & 9\\
+   19 & 18 & 21 & 22 & 19\\
+   20 & 10 & 19 & 20 & 11\\
+   21 & 9 & 18 & 19 & 10\\
+   22 & 1 & 9 & 10 & 2\\
+   23 & 22 & 25 & 26 & 23\\
+   24 & 21 & 24 & 25 & 22
 \end{tabular}
 \label{exmpl_3DFichCube:ele}
\ No newline at end of file
diff --git a/doc/fig/exmpl_3DFichCube_nei.tex b/doc/fig/exmpl_3DFichCube_nei.tex
index cebf081..cd0ce5d 100644
--- a/doc/fig/exmpl_3DFichCube_nei.tex
+++ b/doc/fig/exmpl_3DFichCube_nei.tex
@@ -1,20 +1,29 @@
 \begin{tabular}{>{\columncolor{gray}}rcccccccc}
 \rowcolor{gray}
  Index & n1 & n2 & n3 & n4 & n5 & n6 & n7 & n8\\
-   1 & 3 & 4 & 5 & 2 & 0 & 0 & 0 & 0\\
-   2 & 1 & 7 & 8 & 3 & 0 & 0 & 0 & 0\\
-   3 & 2 & 10 & 11 & 1 & 0 & 0 & 0 & 0\\
-   4 & 1 & 5 & 13 & 12 & 0 & 0 & 0 & 0\\
-   5 & 4 & 13 & 6 & 1 & 0 & 0 & 0 & 0\\
-   6 & 5 & 13 & 14 & 7 & 0 & 0 & 0 & 0\\
-   7 & 6 & 14 & 8 & 2 & 0 & 0 & 0 & 0\\
-   8 & 7 & 14 & 9 & 2 & 0 & 0 & 0 & 0\\
-   9 & 8 & 14 & 15 & 10 & 0 & 0 & 0 & 0\\
-   10 & 9 & 15 & 11 & 3 & 0 & 0 & 0 & 0\\
-   11 & 10 & 15 & 12 & 3 & 0 & 0 & 0 & 0\\
-   12 & 11 & 15 & 13 & 4 & 0 & 0 & 0 & 0\\
-   13 & 12 & 5 & 14 & 15 & 4 & 6 & 0 & 0\\
-   14 & 13 & 6 & 8 & 15 & 0 & 7 & 9 & 0\\
-   15 & 14 & 9 & 11 & 13 & 0 & 10 & 12 & 0
+   1 & 3 & 2 & 5 & 4 & 0 & 0 & 0 & 0\\
+   2 & 3 & 8 & 7 & 1 & 0 & 0 & 0 & 0\\
+   3 & 11 & 10 & 2 & 1 & 0 & 0 & 0 & 0\\
+   4 & 12 & 1 & 5 & 17 & 0 & 0 & 0 & 0\\
+   5 & 4 & 1 & 6 & 16 & 0 & 0 & 0 & 13\\
+   6 & 5 & 7 & 24 & 17 & 0 & 0 & 0 & 0\\
+   7 & 2 & 8 & 23 & 6 & 0 & 0 & 0 & 0\\
+   8 & 9 & 23 & 7 & 2 & 0 & 0 & 0 & 0\\
+   9 & 20 & 14 & 8 & 10 & 0 & 0 & 0 & 0\\
+   10 & 15 & 9 & 3 & 11 & 0 & 0 & 0 & 0\\
+   11 & 15 & 10 & 3 & 12 & 0 & 0 & 0 & 0\\
+   12 & 22 & 11 & 4 & 16 & 0 & 0 & 0 & 0\\
+   13 & 18 & 16 & 5 & 19 & 0 & 0 & 0 & 0\\
+   14 & 19 & 23 & 9 & 20 & 0 & 0 & 0 & 0\\
+   15 & 22 & 20 & 10 & 11 & 0 & 0 & 0 & 0\\
+   16 & 17 & 12 & 5 & 13 & 0 & 0 & 0 & 0\\
+   17 & 4 & 6 & 16 & 18 & 0 & 0 & 0 & 0\\
+   18 & 22 & 17 & 13 & 24 & 21 & 0 & 0 & 0\\
+   19 & 13 & 24 & 14 & 21 & 0 & 0 & 0 & 0\\
+   20 & 21 & 14 & 9 & 15 & 0 & 0 & 0 & 0\\
+   21 & 18 & 19 & 20 & 22 & 0 & 0 & 0 & 0\\
+   22 & 18 & 21 & 15 & 12 & 0 & 0 & 0 & 0\\
+   23 & 24 & 7 & 8 & 14 & 0 & 0 & 0 & 0\\
+   24 & 18 & 6 & 23 & 19 & 0 & 0 & 0 & 0
 \end{tabular}
 \label{exmpl_3DFichCube:nei}
\ No newline at end of file
diff --git a/doc/fig/exmpl_3DFichCube_ref.eps b/doc/fig/exmpl_3DFichCube_ref.eps
index 8437c35..385b688 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 3.2.0-29-generic #46-Ubuntu SMP Fri Jul 27 17:03:23 UTC 2012 x86_64.
+%%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: ../doc/fig/exmpl_3DFichCube_ref.eps
-%%CreationDate: 09/01/2012  16:57:06
+%%CreationDate: 03/21/2013  23:08:03
 %%DocumentNeededFonts: Helvetica
 %%DocumentProcessColors: Cyan Magenta Yellow Black
 %%Extensions: CMYK
@@ -253,128 +253,185 @@ gs 623 269 3722 2937 MR c np
 8.33333 w
 /c8 { 0.000000 0.400000 0.400000 sr} bdef
 c8
+4034 1133 mt 3361  824 L
+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
+4034 1810 mt 4034 1133 L
+3361  824 mt 3361 1500 L
+3361 1500 mt 3361  824 L
 4034 1133 mt 3156 1371 L
-4034 2486 mt 2279 2961 L
-4034 2486 mt 2688 1866 L
-4034 1133 mt 4034 2486 L
-4034 2486 mt 4034 1133 L
-2688 1190 mt 1811 1428 L
-2483 1737 mt 2483 1061 L
-2483 1061 mt 2483 1737 L
-2688 1866 mt 2688  514 L
-2688 1866 mt 2688 1190 L
-3156 1371 mt 2279 1609 L
-4034 1133 mt 2279 1609 L
+4034 2486 mt 4034 1810 L
+3361 1500 mt 3361 2176 L
+3361 2176 mt 3361 1500 L
+4034 1810 mt 3156 2047 L
 gr
 
 8.33333 w
 c8
 /c9 { 1.000000 0.000000 0.000000 sr} bdef
 c9
-4022 1145 mt 
-(16) s
 4022 2497 mt 
+(18) s
+4022 1821 mt 
+(19) s
+4022 1145 mt 
 (20) s
+0 sg
+3697 1347 mt 
+(\(14\)) s
+3697 2023 mt 
+(\(19\)) s
+3595 1620 mt 
+(\(20\)) s
+3595 2296 mt 
+(\(21\)) s
 gs 623 269 3722 2937 MR c np
 c8
+3361  824 mt 2688  514 L
 2688 1190 mt 2688  514 L
+2688  514 mt 2688 1190 L
 3361  824 mt 2483 1061 L
+3361 2176 mt 4034 2486 L
 3361  824 mt 4034 1133 L
+3361 2176 mt 2483 2414 L
+3361 1500 mt 4034 1810 L
+3361 1500 mt 2688 1190 L
+3361 2176 mt 2688 1866 L
 gr
 
 c8
-0 sg
-3361 1530 mt 
-(\(14\)) s
 c9
+3349 2188 mt 
+(21) s
+3349 1511 mt 
+(22) s
 3349  835 mt 
-(15) s
+(23) s
 0 sg
 3258 1127 mt 
 (\(9\)) s
+3258 2480 mt 
+(\(13\)) s
 3194 3389 mt 
 (x) s
 gs 623 269 3722 2937 MR c np
 c8
+3156 1371 mt 4034 1133 L
 3156 1371 mt 2483 1061 L
+3156 2723 mt 2483 2414 L
+3156 2047 mt 3156 1371 L
+2688 1190 mt 1811 1428 L
+2483 1061 mt 2483 1737 L
+2483 1737 mt 2483 1061 L
+2688 1190 mt 3361 1500 L
+2688 1866 mt 2688 1190 L
+2688 1190 mt 2688 1866 L
+3156 1371 mt 2279 1609 L
+3156 2723 mt 2279 2961 L
+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
+2688 1866 mt 3361 2176 L
+3156 2047 mt 2279 2285 L
 gr
 
 c8
-0 sg
-3156 2077 mt 
-(\(15\)) s
 c9
+3145 2735 mt 
+(9) s
+3145 2059 mt 
+(10) s
 3145 1383 mt 
-(17) s
+(11) s
+0 sg
+3024 1037 mt 
+(\(23\)) s
+3024 1713 mt 
+(\(24\)) s
+2718 1858 mt 
+(\(15\)) s
+2718 2534 mt 
+(\(22\)) s
 gs 623 269 3722 2937 MR c np
 c8
+2688 1866 mt 1811 2104 L
 2688  514 mt 1811  752 L
 2688  514 mt 3361  824 L
-2688 1866 mt 4034 2486 L
-2688  514 mt 4034 1133 L
 gr
 
 c8
 c9
 2676 1878 mt 
-(12) s
+(24) s
 2676 1202 mt 
-(13) s
+(25) s
 2676  526 mt 
-(14) s
+(26) s
 0 sg
 2586  818 mt 
 (\(8\)) s
+2586 2170 mt 
+(\(16\)) s
 gs 623 269 3722 2937 MR c np
 c8
-1811 1428 mt 1811 2104 L
-1811 2104 mt 1811 1428 L
-2483 1737 mt 1606 1975 L
 2483 1737 mt 1811 1428 L
-1811  752 mt 1811 1428 L
-1811 1428 mt 1811  752 L
-2483 1061 mt 1606 1299 L
 2483 1061 mt 1811  752 L
+1811 2104 mt 1811 1428 L
+1811 1428 mt 1811 2104 L
+2483 1737 mt 1606 1975 L
 2483 1061 mt 3361  824 L
 2483 1061 mt 3156 1371 L
+1811 1428 mt 1811  752 L
+1811  752 mt 1811 1428 L
+2483 1061 mt 1606 1299 L
+2483 2414 mt 3361 2176 L
+2483 2414 mt 1811 2104 L
+2483 2414 mt 1606 2651 L
+2483 2414 mt 3156 2723 L
 gr
 
 c8
-0 sg
-2483 2444 mt 
-(\(13\)) s
 c9
+2472 2425 mt 
+(12) s
 2472 1749 mt 
-(1) s
+(13) s
 2472 1073 mt 
-(6) s
+(14) s
 0 sg
 2381 1365 mt 
 (\(10\)) s
+2381 2717 mt 
+(\(18\)) s
 gs 623 269 3722 2937 MR c np
 c8
+2279 1609 mt 3156 1371 L
+2279 2285 mt 2279 1609 L
 1811 1428 mt 2688 1190 L
 2279 1609 mt 1606 1299 L
-2279 1609 mt 2279 2285 L
+2279 2961 mt 2279 2285 L
 1811 2104 mt 2688 1866 L
 2279 2285 mt 1606 1975 L
-2279 2285 mt 2279 2961 L
+2279 2285 mt 3156 2047 L
+2279 1609 mt 2279 2285 L
 2279 2961 mt 1606 2651 L
-1606 2651 mt 1606 1975 L
-1606 2651 mt 1606 1975 L
-2279 2961 mt  933 2342 L
-2279 1609 mt 2279 2961 L
-2279 2961 mt 4034 2486 L
+2279 2961 mt 3156 2723 L
+2279 2285 mt 2279 2961 L
 gr
 
 c8
 c9
 2268 2972 mt 
-(8) s
-2268 1620 mt 
-(18) s
+(1) s
 2268 2296 mt 
-(19) s
+(2) s
+2268 1620 mt 
+(3) s
 0 sg
 2249 1677 mt 
 (\(6\)) s
@@ -390,43 +447,51 @@ c9
 (\(12\)) s
 gs 623 269 3722 2937 MR c np
 c8
-1811 1428 mt 2483 1737 L
-1811  752 mt 2483 1061 L
 1811 1428 mt  933 1665 L
+1811 1428 mt 2483 1737 L
+1811 2104 mt  933 2342 L
 1811  752 mt 2688  514 L
+1811  752 mt 2483 1061 L
+1811 2104 mt 2483 2414 L
 gr
 
 c8
 c9
+1799 2115 mt 
+(15) s
 1799 1439 mt 
-(4) s
+(16) s
 1799  763 mt 
-(5) s
-1799 2115 mt 
-(11) s
+(17) s
 0 sg
 1708 1731 mt 
 (\(1\)) s
+1708 2408 mt 
+(\(17\)) s
 gs 623 269 3722 2937 MR c np
 c8
-1606 1975 mt  933 1665 L
-1606 1299 mt 1606 1975 L
 1606 1975 mt 2483 1737 L
-1606 1975 mt  933 1665 L
+1606 1975 mt 1606 1299 L
 1606 1299 mt 2483 1061 L
+1606 2651 mt 1606 1975 L
+1606 1975 mt  933 1665 L
 1606 1299 mt 2279 1609 L
-1606 1975 mt 1606 1299 L
+1606 1299 mt 1606 1975 L
 1606 1975 mt 2279 2285 L
+1606 1975 mt 1606 2651 L
+1606 2651 mt 2279 2961 L
+1606 2651 mt  933 2342 L
+1606 2651 mt 2483 2414 L
 gr
 
 c8
 c9
+1595 2663 mt 
+(4) s
 1595 1987 mt 
-(2) s
+(5) s
 1595 1311 mt 
-(7) s
-1595 2663 mt 
-(9) s
+(6) s
 0 sg
 1363 3346 mt 
 (y) s
@@ -436,20 +501,20 @@ c9
 (\(4\)) s
 gs 623 269 3722 2937 MR c np
 c8
- 933 1665 mt 1811 1428 L
+ 933 1665 mt 1606 1975 L
  933 1665 mt  933 2342 L
  933 2342 mt 1606 2651 L
- 933 1665 mt  933 2342 L
+ 933 2342 mt  933 1665 L
+ 933 1665 mt 1811 1428 L
  933 2342 mt 1811 2104 L
- 933 2342 mt 2688 1866 L
 gr
 
 c8
 c9
- 922 1677 mt 
-(3) s
  922 2353 mt 
-(10) s
+(7) s
+ 922 1677 mt 
+(8) s
 0 sg
  331 1673 mt  -90 rotate
 (z) s
diff --git a/doc/fig/net1.eps b/doc/fig/net1.eps
index 5844ddd..f4c61cb 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 3.2.0-29-generic #46-Ubuntu SMP Fri Jul 27 17:03:23 UTC 2012 x86_64.
+%%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: ../doc/fig/net1.eps
-%%CreationDate: 09/01/2012  16:57:05
+%%CreationDate: 03/21/2013  23:08:02
 %%DocumentNeededFonts: Helvetica
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 %%Extensions: CMYK
diff --git a/doc/fig/net_single.eps b/doc/fig/net_single.eps
index 51703ee..e497aa1 100644
--- a/doc/fig/net_single.eps
+++ b/doc/fig/net_single.eps
@@ -1,12 +1,12 @@
 %!PS-Adobe-2.0 EPSF-1.2
-%%Creator: MATLAB, The MathWorks, Inc. Version 7.14.0.739 (R2012a). Operating System: Linux 3.2.0-34-generic #53-Ubuntu SMP Thu Nov 15 10:48:16 UTC 2012 x86_64.
+%%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: ../doc/fig/net_single.eps
-%%CreationDate: 12/06/2012  12:04:33
+%%CreationDate: 03/21/2013  23:08:02
 %%DocumentNeededFonts: Helvetica
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 %%Pages: 1
-%%BoundingBox:    18   206   542   615
+%%BoundingBox:    52   201   543   583
 %%EndComments
 
 %%BeginProlog
@@ -158,7 +158,7 @@ end
 
 %%Page: 1 1
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+%%PageBoundingBox:    52   201   543   583
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 %%EndPageSetup
@@ -169,7 +169,7 @@ bplot
 /dpi2point 8.33333 def
 portraitMode 0150 5100 csm
 
-    0   -33  4372  3413 MR c np
+  286   236  4093  3188 MR c np
 86 dict begin %Colortable dictionary
 /c0 { 0.000000 0.000000 0.000000 sr} bdef
 /c1 { 1.000000 1.000000 1.000000 sr} bdef
@@ -184,54 +184,128 @@ c0
 1 sg
    0    0 4801 3603 PR
 4.16667 w
-gs 623 269 3721 2937 MR c np
+0 1623 -1616 -744 0 -1622 4344 2635 4 MP
+PP
+1616 743 0 1623 -1616 -744 0 -1622 4344 2635 5 MP stroke
+1616 743 2105 -570 -1616 -743 2239 3205 4 MP
+PP
+-2105 570 1616 743 2105 -570 -1616 -743 2239 3205 5 MP stroke
+0 1623 2105 -571 0 -1622 623 2462 4 MP
+PP
+-2105 570 0 1623 2105 -571 0 -1622 623 2462 5 MP stroke
+2.77778 w
+DO
+SO
+4.16667 w
+0 sg
+2239 3205 mt 4344 2635 L
+2239 3205 mt  623 2462 L
+ 623 2462 mt  623  840 L
+2414 3158 mt 2464 3181 L
+%%IncludeResource: font Helvetica
+/Helvetica /ISOLatin1Encoding 83.3333 FMSR
+
+2485 3268 mt 
+(0) s
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+2836 3173 mt 
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+3187 3078 mt 
+(0.4) s
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+3538 2983 mt 
+(0.6) s
+3817 2778 mt 3867 2801 L
+3889 2888 mt 
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+(1) s
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+ 506 2459 mt 
+(0) s
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+ 437 2135 mt 
+(0.2) s
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+ 437 1810 mt 
+(0.4) s
+ 623 1489 mt  574 1466 L
+ 437 1486 mt 
+(0.6) s
+ 623 1164 mt  574 1141 L
+ 437 1161 mt 
+(0.8) s
+ 623  840 mt  574  817 L
+ 506  837 mt 
+(1) s
+gs 624 269 3721 2937 MR c np
 16.6667 w
 /c8 { 0.000000 0.400000 0.400000 sr} bdef
 c8
-4033 2799 mt 2972 2196 L
-2972 2196 mt  933 2510 L
+4034 2621 mt 2688 2001 L
+gr
+
+16.6667 w
+c8
+0 sg
+3194 3389 mt 
+(x) s
+gs 624 269 3721 2937 MR c np
+c8
+2688 2001 mt  933 2477 L
 4.16667 w
 /c9 { 1.000000 0.000000 0.000000 sr} bdef
 c9
-2483 2655 mt 2483 1554 L
+2484 2549 mt 2484  926 L
 0 j
-gs 2432 1503 103 103 MR c np
-2466 1537 mt 2500 1571 L
-2500 1537 mt 2466 1571 L
 gr
 
+4.16667 w
+c9
+2467  909 mt 2501  943 L
+2501  909 mt 2467  943 L
+gs 624 269 3721 2937 MR c np
 16.6667 w
 c8
-1995 3114 mt 4033 2799 L
- 933 2510 mt 1995 3114 L
-4.16667 w
+2279 3096 mt 4034 2621 L
 gr
 
+16.6667 w
 c8
 0 sg
-%%IncludeResource: font Helvetica
-/Helvetica /ISOLatin1Encoding 83.3333 FMSR
+1363 3346 mt 
+(y) s
+gs 624 269 3721 2937 MR c np
+c8
+ 933 2477 mt 2279 3096 L
+gr
 
-2554 1873 mt 
-(n) s
-2992 2093 mt 
-(k3) s
-4134 2828 mt 
-(k2) s
-2818 2878 mt 
-(e1) s
-2201 2406 mt 
-(e3) s
- 744 2520 mt 
-(k4) s
-1895 3249 mt 
-(k1) s
-1627 2836 mt 
-(e4) s
-3209 2499 mt 
-(e2) s
-2597 2590 mt 
-(T) s
+c8
+0 sg
+ 380 1673 mt  -90 rotate
+(z) s
+90 rotate
+4.16667 w
 
 end %%Color Dict
 
diff --git a/doc/fig/net_wrong.eps b/doc/fig/net_wrong.eps
index fefeac0..58150b8 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 3.2.0-29-generic #46-Ubuntu SMP Fri Jul 27 17:03:23 UTC 2012 x86_64.
+%%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: ../doc/fig/net_wrong.eps
-%%CreationDate: 09/01/2012  16:57:05
+%%CreationDate: 03/21/2013  23:08:02
 %%DocumentNeededFonts: Helvetica
 %%DocumentProcessColors: Cyan Magenta Yellow Black
 %%Extensions: CMYK
diff --git a/src/test_sol.m b/src/test_sol.m
index ae541f7..29e7b7f 100644
--- a/src/test_sol.m
+++ b/src/test_sol.m
@@ -9,10 +9,10 @@ mex mex_build_V.cpp slpRectangle.cpp CFLAGS="\$CFLAGS  -fopenmp" CXXFLAGS="\$CXX
 % Test ausführen
 
 %Anzahl der Schritte oder wenn groeßer als 40 der Elemente
-steps = 10^4;
+steps = 5;
 
 %Art der Berechnungen
-type = [1 2];
+type = [1 3];
 zeta = { [2 2 2] [2 2 2]};