next up previous contents
Next: Convergence in 3D Skew Up: Convergence for the Galerkin Previous: Convergence for the Galerkin

Convergence in 3D Hybrid Elements

We constructed a blocky fish shape domain to test the Helmholtz solver with all the three-dimensional element types connected together. In figure 4.23 we show that the solution converges to the correct solution for the Helmholtz problem with increasing N.


\begin{figure}
\centerline{
\psfig {file=/crunch/crunch7/tcew/Thesis/Figures1/Ep...
 ...nch/crunch7/tcew/Thesis/Figures1/Eps/3dfish_soln.eps,height=3.0in}
}\end{figure}

  
Figure 4.23: Convergence for the Helmholtz problem on a mesh of hybrid elements. Dirichlet boundary conditions u=sin(x)sin(y)sin(z) and lambda = 10000.
\begin{figure}
\centerline{
\psfig {file=/crunch/crunch7/tcew/Thesis/Figures1/Eps/3dfish_conv.eps,height=3.0in}
}\end{figure}



T. Warburton
10/24/1998