From a63a7f205f1d0a8f50d55bc3d21179d32548eada Mon Sep 17 00:00:00 2001 From: Thomas Witkowski <thomas.witkowski@gmx.de> Date: Thu, 5 May 2011 13:13:24 +0000 Subject: [PATCH] Forgotten to renew polynomial degree definition in scalar demos in documentation while removing ProblemScal. --- demo/init/ball.dat.2d | 2 +- demo/init/ball.dat.3d | 2 +- demo/init/bunny.init | 6 ++-- demo/init/ellipt.dat.1d | 2 +- demo/init/ellipt.dat.2d | 2 +- demo/init/ellipt.dat.3d | 2 +- demo/init/heat.dat.1d | 2 +- demo/init/heat.dat.3d | 2 +- demo/init/neumann.dat.2d | 2 +- demo/init/parametric.dat.3d | 8 +++--- demo/init/periodic.dat.1d | 2 +- demo/init/periodic.dat.2d | 2 +- demo/init/periodic.dat.3d | 2 +- demo/init/sphere.dat.3d | 8 +++--- demo/init/torus.dat.3d | 8 +++--- doc/operatorTerme.tex | 6 ++-- doc/tutorial/ellipt.tex | 2 +- doc/tutorial/parametric.tex | 54 ++++++++++++++++++++++++++--------- doc/tutorial/projections.tex | 6 ++-- doc/tutorial/tutorial.pdf | Bin 1203360 -> 1203382 bytes 20 files changed, 73 insertions(+), 47 deletions(-) diff --git a/demo/init/ball.dat.2d b/demo/init/ball.dat.2d index ddd849b4..d4544348 100644 --- a/demo/init/ball.dat.2d +++ b/demo/init/ball.dat.2d @@ -5,7 +5,7 @@ ballMesh->global refinements: 3 ball->mesh: ballMesh ball->dim: 2 -ball->polynomial degree: 1 +ball->polynomial degree[0]: 1 ball->space->components: 1 diff --git a/demo/init/ball.dat.3d b/demo/init/ball.dat.3d index 767841ce..e46875d3 100644 --- a/demo/init/ball.dat.3d +++ b/demo/init/ball.dat.3d @@ -5,7 +5,7 @@ ballMesh->global refinements: 15 ball->mesh: ballMesh ball->dim: 3 -ball->polynomial degree: 1 +ball->polynomial degree[0]: 1 ball->space->components: 1 diff --git a/demo/init/bunny.init b/demo/init/bunny.init index 0b0af6f5..0e496538 100644 --- a/demo/init/bunny.init +++ b/demo/init/bunny.init @@ -4,9 +4,9 @@ bunnyMesh->macro file name: ./macro/bunny_fixed.macro bunnyMesh->check: 0 bunnyMesh->global refinements: 0 -bunny->mesh: bunnyMesh -bunny->dim: 2 -bunny->polynomial degree: 1 +bunny->mesh: bunnyMesh +bunny->dim: 2 +bunny->polynomial degree[0]: 1 bunny->solver: cg bunny->solver->max iteration: 100 diff --git a/demo/init/ellipt.dat.1d b/demo/init/ellipt.dat.1d index 605f4621..d5775d89 100644 --- a/demo/init/ellipt.dat.1d +++ b/demo/init/ellipt.dat.1d @@ -5,7 +5,7 @@ elliptMesh->global refinements: 3 ellipt->mesh: elliptMesh ellipt->dim: 1 -ellipt->polynomial degree: 1 +ellipt->polynomial degree[0]: 1 ellipt->components: 1 ellipt->solver: cg diff --git a/demo/init/ellipt.dat.2d b/demo/init/ellipt.dat.2d index 83844389..e01f7688 100644 --- a/demo/init/ellipt.dat.2d +++ b/demo/init/ellipt.dat.2d @@ -5,7 +5,7 @@ elliptMesh->global refinements: 0 ellipt->mesh: elliptMesh ellipt->dim: 2 -ellipt->polynomial degree: 1 +ellipt->polynomial degree[0]: 1 ellipt->components: 1 ellipt->solver: cg diff --git a/demo/init/ellipt.dat.3d b/demo/init/ellipt.dat.3d index 202d7fa6..ab68dc9a 100644 --- a/demo/init/ellipt.dat.3d +++ b/demo/init/ellipt.dat.3d @@ -5,7 +5,7 @@ elliptMesh->global refinements: 0 ellipt->mesh: elliptMesh ellipt->dim: 3 -ellipt->polynomial degree: 1 +ellipt->polynomial degree[0]: 1 ellipt->components: 1 ellipt->solver: cg diff --git a/demo/init/heat.dat.1d b/demo/init/heat.dat.1d index 23191b98..00e3e0bb 100644 --- a/demo/init/heat.dat.1d +++ b/demo/init/heat.dat.1d @@ -3,7 +3,7 @@ dimension of world: 1 heatMesh->macro file name: ./macro/macro.stand.1d heatMesh->global refinements: 0 -heat->space->polynomial degree: 1 +heat->space->polynomial degree[0]: 1 heat->space->dim: 1 heat->space->mesh: heatMesh diff --git a/demo/init/heat.dat.3d b/demo/init/heat.dat.3d index cad89be7..983cab4d 100644 --- a/demo/init/heat.dat.3d +++ b/demo/init/heat.dat.3d @@ -3,7 +3,7 @@ dimension of world: 3 heatMesh->macro file name: ./macro/macro.stand.3d heatMesh->global refinements: 3 -heat->space->polynomial degree: 1 +heat->space->polynomial degree[0]: 1 heat->space->dim: 3 heat->space->mesh: heatMesh diff --git a/demo/init/neumann.dat.2d b/demo/init/neumann.dat.2d index 9b970fd7..c543e959 100644 --- a/demo/init/neumann.dat.2d +++ b/demo/init/neumann.dat.2d @@ -5,7 +5,7 @@ neumannMesh->global refinements: 0 neumann->mesh: neumannMesh neumann->dim: 2 -neumann->polynomial degree: 1 +neumann->polynomial degree[0]: 1 neumann->components: 1 neumann->solver: cg diff --git a/demo/init/parametric.dat.3d b/demo/init/parametric.dat.3d index 4e786971..4905e9c1 100644 --- a/demo/init/parametric.dat.3d +++ b/demo/init/parametric.dat.3d @@ -3,10 +3,10 @@ dimension of world: 3 parametricMesh->macro file name: ./macro/parametric.macro.3d parametricMesh->global refinements: 0 -parametric->mesh: parametricMesh -parametric->dim: 2 -parametric->polynomial degree: 2 -parametric->components: 1 +parametric->mesh: parametricMesh +parametric->dim: 2 +parametric->polynomial degree[0]: 2 +parametric->components: 1 parametric->solver: cg parametric->solver->max iteration: 100 diff --git a/demo/init/periodic.dat.1d b/demo/init/periodic.dat.1d index 1a000997..012be73a 100644 --- a/demo/init/periodic.dat.1d +++ b/demo/init/periodic.dat.1d @@ -6,7 +6,7 @@ periodicMesh->global refinements: 0 periodic->mesh: periodicMesh periodic->dim: 1 -periodic->polynomial degree: 1 +periodic->polynomial degree[0]: 1 periodic->components: 1 periodic->solver: cg diff --git a/demo/init/periodic.dat.2d b/demo/init/periodic.dat.2d index 9d65cc66..c84b05f0 100644 --- a/demo/init/periodic.dat.2d +++ b/demo/init/periodic.dat.2d @@ -6,7 +6,7 @@ periodicMesh->global refinements: 0 periodic->mesh: periodicMesh periodic->dim: 2 -periodic->polynomial degree: 1 +periodic->polynomial degree[0]: 1 periodic->components: 1 periodic->solver: cg diff --git a/demo/init/periodic.dat.3d b/demo/init/periodic.dat.3d index 5f99af34..b06a6325 100644 --- a/demo/init/periodic.dat.3d +++ b/demo/init/periodic.dat.3d @@ -6,7 +6,7 @@ periodicMesh->global refinements: 0 periodic->mesh: periodicMesh periodic->dim: 3 -periodic->polynomial degree: 1 +periodic->polynomial degree[0]: 1 periodic->components: 1 periodic->solver: cg diff --git a/demo/init/sphere.dat.3d b/demo/init/sphere.dat.3d index 95644365..7cad7c70 100644 --- a/demo/init/sphere.dat.3d +++ b/demo/init/sphere.dat.3d @@ -3,10 +3,10 @@ dimension of world: 3 sphereMesh->macro file name: ./macro/sphere_macro.3d sphereMesh->global refinements: 10 -sphere->mesh: sphereMesh -sphere->dim: 2 -sphere->polynomial degree: 1 -sphere->components: 1 +sphere->mesh: sphereMesh +sphere->dim: 2 +sphere->polynomial degree[0]: 1 +sphere->components: 1 sphere->solver: cg sphere->solver->max iteration: 100 diff --git a/demo/init/torus.dat.3d b/demo/init/torus.dat.3d index 101c266d..7b98f193 100644 --- a/demo/init/torus.dat.3d +++ b/demo/init/torus.dat.3d @@ -3,10 +3,10 @@ dimension of world: 3 torusMesh->macro file name: ./macro/torus_macro.3d torusMesh->global refinements: 8 -torus->mesh: torusMesh -torus->dim: 2 -torus->polynomial degree: 1 -torus->components: 1 +torus->mesh: torusMesh +torus->dim: 2 +torus->polynomial degree[0]: 1 +torus->components: 1 torus->solver: cg torus->solver->max iteration: 1000 diff --git a/doc/operatorTerme.tex b/doc/operatorTerme.tex index 7b8a5f8c..1e677124 100755 --- a/doc/operatorTerme.tex +++ b/doc/operatorTerme.tex @@ -71,8 +71,8 @@ $F(\{v_i\}_i, \{\nabla w_j\}_j, \vec{x}) \cdot \nabla u$ & \texttt{General\_FOT} %========================================================== \multicolumn{2}{c}{\scriptsize Second-Order-Terms, sign in strong formulation: -}\\ \hline -$\Delta u$ & \texttt{Laplace\_SOT}() \\ -$c \cdot \Delta u$ & \texttt{FactorLaplace\_SOT}($c\in\mathbb{R}$) \\ +$\Delta u$ & \texttt{Simple\_SOT}() \\ +$c \cdot \Delta u$ & \texttt{Simple\_SOT}($c\in\mathbb{R}$) \\ $\nabla\cdot (f(\vec{x}) \nabla u)$ & \texttt{CoordsAtQP\_SOT}($f:\mathbb{R}^n\rightarrow\mathbb{R}$) \\ $\nabla\cdot (f(v) \nabla u)$ & \texttt{VecAtQP\_SOT}($v\in${\scriptsize DOFVector}$\langle\mathbb{R}\rangle$, $f:\mathbb{R}\rightarrow\mathbb{R}$) \\ $\nabla\cdot (f(v, \vec{x}) \nabla u)$ & \texttt{VecAndCoordsAtQP\_SOT}($v\in${\scriptsize DOFVector}$\langle\mathbb{R}\rangle$, $f:\mathbb{R}\times\mathbb{R}^n\rightarrow\mathbb{R}$) \\ @@ -94,4 +94,4 @@ $\nabla \cdot (A(\nabla v, \vec{x}) \nabla u)$ & \texttt{MatrixGradientAndCoords $\nabla \cdot (A(\{v_i\}_i, \{\nabla w_j\}_j, \vec{x}) \nabla u)$ & \texttt{General\_SOT}(\small{vector}$\langle${\scriptsize DOFVector}$\langle\mathbb{R}\rangle\rangle$,\small{vector}$\langle${\scriptsize DOFVector}$\langle\mathbb{R}\rangle\rangle$, $ A:\mathbb{R}^n\times$\small{vector}$\langle\mathbb{R}\rangle\times$\small{vector}$\langle\mathbb{R}^n\rangle\rightarrow\mathbb{R}^{n\times n}$, $div:\mathbb{R}^{n\times n}\rightarrow\mathbb{R}^{n}$) \\ \end{longtable} -\end{document} \ No newline at end of file +\end{document} diff --git a/doc/tutorial/ellipt.tex b/doc/tutorial/ellipt.tex index 79d7c012..1905fb2d 100644 --- a/doc/tutorial/ellipt.tex +++ b/doc/tutorial/ellipt.tex @@ -270,7 +270,7 @@ a finer mesh. \begin{lstlisting}{} ellipt->mesh: elliptMesh ellipt->dim: 2 -ellipt->polynomial degree: 1 +ellipt->polynomial degree[0]: 1 ellipt->components: 1 \end{lstlisting} diff --git a/doc/tutorial/parametric.tex b/doc/tutorial/parametric.tex index f7febe27..44125eb7 100644 --- a/doc/tutorial/parametric.tex +++ b/doc/tutorial/parametric.tex @@ -1,7 +1,11 @@ \section{Parametric elements} \label{s:parametric} -With parametric elements, problems can be solved on meshes which dimensions are not necessarily equal to the world dimension. Therefore, problems on arbitrary manifolds can be solved. Furthermore, the vertex coordinates of the mesh can be flexible. Hence, moving meshes can be implemented. +With parametric elements, problems can be solved on meshes which +dimensions are not necessarily equal to the world dimension. +Therefore, problems on arbitrary manifolds can be solved. Furthermore, +the vertex coordinates of the mesh can be flexible. Hence, moving +meshes can be implemented. In this section, we solve equation (\ref{eq:ellipt}) with $f=2x_0$ ($x_0$ is the first component of $x$) on a torus. Then we rotate the torus about the $y$-axis and solve the problem again. @@ -43,7 +47,8 @@ We create a torus with center $(0; 0; 0)$ and the rotation axis in $z$-direction \subsection{Source code} -First, we define the rotation about the $y$-axis, which is used later to rotate the whole torus and the right hand side function. +First, we define the rotation about the $y$-axis, which is used later +to rotate the whole torus and the right hand side function. \begin{lstlisting}{} class YRotation @@ -87,7 +92,8 @@ private: }; \end{lstlisting} -Every time, the mesh is rotated, the right hand side function will be informed over the method \verb+rotate+. +Every time, the mesh is rotated, the right hand side function will be +informed over the method \verb+rotate+. Now, we implement the projection on the torus. @@ -132,7 +138,10 @@ protected: }; \end{lstlisting} -In the main program, we create a torus projection as \verb+VOLUME_PROJECTION+ with ID 1. The values of $r_1$ and $r_2$ are chosen, such that the resulting torus is completely surrounded by the macro mesh that is defined later. +In the main program, we create a torus projection as +\verb+VOLUME_PROJECTION+ with ID 1. The values of $r_1$ and $r_2$ are +chosen, such that the resulting torus is completely surrounded by the +macro mesh that is defined later. \begin{lstlisting}{} int main(int argc, char* argv[]) @@ -158,9 +167,12 @@ int main(int argc, char* argv[]) torus.writeFiles(adaptInfo, true); \end{lstlisting} -The problem definition and the creation of the adaptation loop are done in the usual way (here, replaced by \verb+...+) . After the adaptation loop has returned, we write the result. +The problem definition and the creation of the adaptation loop are +done in the usual way (here, replaced by \verb+...+) . After the +adaptation loop has returned, we write the result. -Before we let the torus rotate, some variables are defined. We set the rotation angle to $\frac{\Pi}{3}$. +Before we let the torus rotate, some variables are defined. We set the +rotation angle to $\frac{\Pi}{3}$. \begin{lstlisting}{} double rotation = M_PI/3.0; @@ -181,7 +193,11 @@ Before we let the torus rotate, some variables are defined. We set the rotation parametricCoords[i] = new DOFVector<double>(feSpace, "parametric coords"); \end{lstlisting} -In the next step, we store the rotated vertex coordinates of the mesh in \verb+parametricCoords+,a vector of DOF vectors, where the first vector stores the first component of each vertex coordinate, and so on. In the STL map \verb+visited+, we store which vertices have already been visited, to avoid multiple rotations of the same point. +In the next step, we store the rotated vertex coordinates of the mesh +in \verb+parametricCoords+,a vector of DOF vectors, where the first +vector stores the first component of each vertex coordinate, and so +on. In the STL map \verb+visited+, we store which vertices have +already been visited, to avoid multiple rotations of the same point. \begin{lstlisting}{} std::map<DegreeOfFreedom, bool> visited; @@ -206,14 +222,20 @@ In the next step, we store the rotated vertex coordinates of the mesh in \verb+p } \end{lstlisting} -We create an instance of class \verb+ParametricFirstOrder+ which then is handed to the mesh. Now, in all future mesh traverses the vertex coordinates stored in \verb+parametricCoords+ are returned, instead of the original coordinates. +We create an instance of class \verb+ParametricFirstOrder+ which then +is handed to the mesh. Now, in all future mesh traverses the vertex +coordinates stored in \verb+parametricCoords+ are returned, instead of +the original coordinates. \begin{lstlisting}{} ParametricFirstOrder parametric(¶metricCoords); torus.getMesh()->setParametric(¶metric); \end{lstlisting} -We rotate the right hand side function, reset \verb+adaptInfo+ and start the adaptation loop again. Now, we compute the solution on the rotated torus, which then is written to the files \verb+rotation1.mesh+ and \verb+rotation1.dat+. +We rotate the right hand side function, reset \verb+adaptInfo+ and +start the adaptation loop again. Now, we compute the solution on the +rotated torus, which then is written to the files +\verb+rotation1.mesh+ and \verb+rotation1.dat+. \begin{lstlisting}{} f.rotate(rotation); @@ -226,7 +248,9 @@ We rotate the right hand side function, reset \verb+adaptInfo+ and start the ada delete dc; \end{lstlisting} -We perform another rotation. All we have to do is to modify the coordinates in \verb+parametricCoords+ and to inform $f$ about the rotation. +We perform another rotation. All we have to do is to modify the +coordinates in \verb+parametricCoords+ and to inform $f$ about the +rotation. \begin{lstlisting}{} visited.clear(); @@ -271,7 +295,9 @@ Finally, we free some memory and finish the main program. \subsection{Parameter file} -In the parameter file, we set the macro file to \verb+./macro/torus_macro.3d+. This two dimensional mesh is 8 times globally refined and successively projected on the torus. +In the parameter file, we set the macro file to +\verb+./macro/torus_macro.3d+. This two dimensional mesh is 8 times +globally refined and successively projected on the torus. \begin{lstlisting}{} dimension of world: 3 @@ -279,9 +305,9 @@ dimension of world: 3 torusMesh->macro file name: ./macro/torus_macro.3d torusMesh->global refinements: 8 -torus->mesh: torusMesh -torus->dim: 2 -torus->polynomial degree: 1 +torus->mesh: torusMesh +torus->dim: 2 +torus->polynomial degree[0]: 1 torus->solver: cg torus->solver->max iteration: 1000 diff --git a/doc/tutorial/projections.tex b/doc/tutorial/projections.tex index 72ff443e..b2542196 100644 --- a/doc/tutorial/projections.tex +++ b/doc/tutorial/projections.tex @@ -174,9 +174,9 @@ dimension of world: 3 sphereMesh->macro file name: ./macro/sphere_macro.3d sphereMesh->global refinements: 10 -sphere->mesh: sphereMesh -sphere->dim: 2 -sphere->polynomial degree: 1 +sphere->mesh: sphereMesh +sphere->dim: 2 +sphere->polynomial degree[0]: 1 sphere->solver: cg sphere->solver->max iteration: 100 diff --git 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