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Paper detail

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

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.

preprint2022arXivOpen access
Gustav LudvigssonKenneth DuruGunilla Kreiss
math.NANumerical Analysis
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Gustav LudvigssonKenneth DuruGunilla Kreiss

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