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arXiv · 2206.08507

On energy-stable and high order finite element methods for the wave equation in heterogeneous media with perfectly matched layers

Gustav Ludvigsson·Kenneth Duru·Gunilla Kreiss
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Abstract

This paper presents a stable finite element approximation for the acoustic wave equation on second-order form, with perfectly matched layers (PML) at the boundaries. Energy estimates are derived for varying PML damping for both the discrete and the continuous case. Moreover, a priori error estimates are derived for constant PML damping. Most of the analysis is performed in Laplace space. Numerical experiments in physical space validate the theoretical results.

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Gustav Ludvigsson, Kenneth Duru, Gunilla Kreiss. 2022-06-17. On energy-stable and high order finite element methods for the wave equation in heterogeneous media with perfectly matched layers. https://arxiv.org/abs/2206.08507

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