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arXiv · 2503.06656

Perfectly matched layers in time domain. A simple two-dimensional error analysis

Kurt Bryan·Michael S. Vogelius
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Abstract

Perfectly Matched Layers (PML) has become a very common method for the numerical approximation of wave and wave-like equations on unbounded domains. This technique allows one to obtain accurate solutions while working on a finite computational domain, and the technique is relatively simple to implement. Results concerning the accuracy of the PML method have been obtained, but mostly with regard problems at a fixed frequency. In this paper we provide very explicit time-domain bounds on the accuracy of PML for the two-dimensional wave equation and illustrate our conclusions with some numerical examples.

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Kurt Bryan, Michael S. Vogelius. 2025-03-09. Perfectly matched layers in time domain. A simple two-dimensional error analysis. https://arxiv.org/abs/2503.06656

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