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 />
Three-<strong>dimensional</strong> problems<br />
Three-<strong>dimensional</strong> for a constant wavenumber<br />
Discretization<br />
<strong>Helmholtz</strong> <strong>equation</strong> in <strong>the</strong> frequency domain:<br />
−∆u − k 2 u = g in Ω = [0, 1] 3<br />
with Perfectly Matched Layer formulation [Operto et al., 2002].<br />
PML width: 1/8, Dirac source term located at ( 1 2 , 1 2 , 1 2 ).<br />
20/27 Multigrid for geophysics applications
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