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On energy-stable and high order finite element methods for the wave equation in heterogeneous media with perfectly matched layers (2206.08507v1)
Published 17 Jun 2022 in math.NA and cs.NA
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.