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Title : |
The Halfspace Matching Method: a New Method to Solve Scattering Problem in Infinite Media |
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Year : |
2018 |
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Type : |
paper in peer-reviewed journal |
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Authors : |
A.-S. Bonnet-BenDhia, S. Fliss, A. Tonnoir |
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Abstract : |
We are interested in acoustic wave propagation in time harmonic regime in a two-dimensional medium which is a local perturbation of an infinite isotropic or anisotropic homogeneous medium. We investigate the question of finding artificial boundary conditions to reduce the numerical computations to a neighborhood of this perturbation. Our objective is to derive a method which can extend to the anisotropic elastic problem for which classical approaches fail. The idea consists in coupling several semi-analytical representations of the solution in halfspaces surrounding the defect with a Finite Element computation of the solution around the defect. As representations of the same function, they have to match in the infinite intersections of the halfspaces. It leads to a formulation which couples, via integral operators, the solution in a bounded domain including the defect and its traces on the edge of the halfspaces. A stability property is shown for this new formulation. |
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Themes : |
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Reference : |
JCAM - vol. 338 (pp 44-68 )   |
