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Computation of the exact discrete transparent boundary condition for 1D linear equations

Sonia Fliss 1 Sébastien Imperiale 2 Antoine Tonnoir 3
1 POEMS - Propagation des Ondes : Étude Mathématique et Simulation
CNRS - Centre National de la Recherche Scientifique : UMR7231, UMA - Unité de Mathématiques Appliquées, Inria Saclay - Ile de France
2 M3DISIM - Mathematical and Mechanical Modeling with Data Interaction in Simulations for Medicine
LMS - Laboratoire de mécanique des solides, Inria Saclay - Ile de France
Abstract : In this work, we are interested in the construction of the exact transparent boundary conditions for a semi-discretized and fully discretized 1D linear PDE. The proposed method is quite general and is based on the computation of a family of canonical functions. Several examples and numerical results to illustrate the method are presented.
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Submitted on : Sunday, November 8, 2020 - 10:20:00 PM
Last modification on : Wednesday, May 11, 2022 - 12:06:05 PM
Long-term archiving on: : Tuesday, February 9, 2021 - 6:41:56 PM

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Sonia Fliss, Sébastien Imperiale, Antoine Tonnoir. Computation of the exact discrete transparent boundary condition for 1D linear equations. 2020. ⟨hal-02995046⟩

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