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Energy decay and stability of a perfectly matched layer for the wave equation

Baffet, Daniel and Grote, Marcus J. and Imperiale, Sébastien and Kachanovska, Maryna. (2018) Energy decay and stability of a perfectly matched layer for the wave equation. Preprints Fachbereich Mathematik, 2018 (13).

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Official URL: https://edoc.unibas.ch/70078/

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Abstract

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.
Faculties and Departments:05 Faculty of Science > Departement Mathematik und Informatik > Mathematik > Numerik (Grote)
12 Special Collections > Preprints Fachbereich Mathematik
UniBasel Contributors:Baffet, Daniel and Grote, Marcus J.
Item Type:Preprint
Publisher:Universität Basel
Language:English
Last Modified:11 Apr 2019 15:20
Deposited On:11 Apr 2019 15:20

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