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Energy Decay and Stability of a Perfectly Matched Layer For the Wave Equation

Daniel Henri Baffet 1 Marcus Grote 1 Sébastien Imperiale 2, 3, 4 Maryna Kachanovska 5
2 M3DISIM - Mathematical and Mechanical Modeling with Data Interaction in Simulations for Medicine
LMS - Laboratoire de mécanique des solides, Inria Saclay - Ile de France
5 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
Abstract : In [25, 26], a PML formulation was proposed for the wave equation in its standard second-order form. Here, energy decay and L 2 stability bounds in two and three space dimensions are rigorously proved both for continuous and discrete formulations. Numerical results validate the theory.
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Submitted on : Friday, November 15, 2019 - 8:55:56 PM
Last modification on : Wednesday, May 11, 2022 - 12:06:04 PM
Long-term archiving on: : Sunday, February 16, 2020 - 7:09:19 PM

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Daniel Henri Baffet, Marcus Grote, Sébastien Imperiale, Maryna Kachanovska. Energy Decay and Stability of a Perfectly Matched Layer For the Wave Equation. Journal of Scientific Computing, Springer Verlag, 2019, ⟨10.1007/s10915-019-01089-9⟩. ⟨hal-01865484v2⟩

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