[cig-commits] r7181 - cs/cigma/trunk/doc/manual

[sue at geodynamics.org]

Author: sue
Date: 2007-06-12 17:02:07 -0700 (Tue, 12 Jun 2007)
New Revision: 7181

Modified:
   cs/cigma/trunk/doc/manual/cigma.lyx
Log:
added degrees of freedom section and describing solutions

Modified: cs/cigma/trunk/doc/manual/cigma.lyx
===================================================================
--- cs/cigma/trunk/doc/manual/cigma.lyx	2007-06-13 00:02:02 UTC (rev 7180)
+++ cs/cigma/trunk/doc/manual/cigma.lyx	2007-06-13 00:02:07 UTC (rev 7181)
@@ -3196,6 +3196,10 @@
 
 \end_layout
 
+\begin_layout Section
+Spacial Search
+\end_layout
+
 \begin_layout Standard
 \noindent
 \align center
@@ -3224,6 +3228,89 @@
 
 \end_layout
 
+\begin_layout Section
+Describing Degrees of Freedom
+\end_layout
+
+\begin_layout Standard
+\begin_inset Float figure
+placement H
+wide false
+sideways false
+status open
+
+\begin_layout Caption
+Degrees of Freedom
+\end_layout
+
+\begin_layout Standard
+\begin_inset Graphics
+	filename figures/degrees-freedom.gif
+
+\end_inset
+
+
+\end_layout
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+Iterate over simplices (for tetr.)
+\end_layout
+
+\begin_layout Standard
+0-simplex : vertices
+\end_layout
+
+\begin_layout Standard
+1-simplex : edges
+\end_layout
+
+\begin_layout Standard
+2-simplex : faces
+\end_layout
+
+\begin_layout Standard
+3-simplex : volume
+\end_layout
+
+\begin_layout Standard
+________________
+\end_layout
+
+\begin_layout Standard
+Iterate over polytopes
+\end_layout
+
+\begin_layout Section
+Describing Solution 
+\begin_inset Formula $u\left(\vec{x}\right)$
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+\begin_inset Formula \[
+u\left(\vec{x}\right)=\sum_{j\epsilon dof\left(\Omega\right)}a_{j}f_{j}\left(\vec{x}\right)\]
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+\begin_inset Formula \[
+=\sum_{e\epsilon\Omega}\sum_{k\epsilon dof\left(\Omega_{e}\right)}a_{r}\varphi^{e}{}_{r}\left(\vec{x}\right)\]
+
+\end_inset
+
+
+\end_layout
+
 \begin_layout Chapter
 Benchmarks
 \end_layout