Solution of the three-dimensional Helmholtz equation using ... - cerfacs
Solution of the three-dimensional Helmholtz equation using ... - cerfacs
Solution of the three-dimensional Helmholtz equation using ... - cerfacs
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Motivations<br />
Wave propagation modelling<br />
<strong>Solution</strong> method components: Iterative method and multigrid<br />
<strong>Solution</strong> strategy<br />
Numerical experiments<br />
Perspectives and conclusions<br />
Direct method on <strong>the</strong> coarse grid<br />
Three-<strong>dimensional</strong> problems<br />
Experiments on 128 processors<br />
Distributed MUMPS implementation [Amestoy et al, 2000].<br />
k<br />
Grid <br />
30 45 60 90<br />
64 3 7<br />
96 3 6 8<br />
128 3 5 6 8<br />
192 3 5 5 6 9<br />
Table: Iterations <strong>of</strong> FGMRES(5) versus grid sizes and wavenumbers<br />
Problem gets harder with increasing wavenumbers on a fixed<br />
grid [Elman, 2001].<br />
Slight increase <strong>of</strong> <strong>the</strong> iterations when kh = constant (diagonal).<br />
23/27 Multigrid for geophysics applications
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