Article Dans Une Revue Journal of Scientific Computing Année : 2019

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

Résumé

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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hal-01865484 , version 1 (03-09-2018)
hal-01865484 , version 2 (15-11-2019)

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