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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 />

Main features and challenges<br />

Modelling<br />

Depth migration in geophysics<br />

Wave propagation problems modelled by <strong>the</strong> <strong>Helmholtz</strong> <strong>equation</strong><br />

with absorbing boundary conditions<br />

Simulations should be made for multiple Dirac sources and for<br />

multiple frequencies<br />

Large computational domain [truncation <strong>of</strong> an infinite domain in<br />

<strong>the</strong> x- and y- directions]<br />

Numerical methods<br />

Robust <strong>Helmholtz</strong> solution method required especially for large<br />

wavenumbers<br />

Able to solve multiple right-hand side and left-hand side problems<br />

Must be efficient on massively parallel computers due to huge<br />

problem size<br />

6/27 Multigrid for geophysics applications

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