Energy Decay and Stability of a Perfectly Matched Layer For the Wave Equation

Baffet, Daniel H. and Grote, Marcus J. and Imperiale, Sébastien and Kachanovska, Maryna. (2019) Energy Decay and Stability of a Perfectly Matched Layer For the Wave Equation. Journal of Scientific Computing, 81 (3). pp. 2237-2270.

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Official URL: https://edoc.unibas.ch/75287/

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In Grote and Sim (Efficient PML for the wave equation. Preprint,arXiv:1001.0319[math:NA],2010; in: Proceedings of the ninth international conference on numerical aspectsof wave propagation (WAVES 2009, held in Pau, France,2009), pp 370–371), a PML formulation was proposed for the wave equation in its standard second-order form. Here, energydecay andL2stability bounds in two and three space dimensions are rigorously proved bothfor continuous and discrete formulations with constant damping coefficients. Numericalresults validate the theory.
Faculties and Departments:05 Faculty of Science > Departement Mathematik und Informatik > Mathematik > Numerik (Grote)
UniBasel Contributors:Grote, Marcus J. and Baffet, Daniel Henri
Item Type:Article, refereed
Article Subtype:Research Article
Note:Publication type according to Uni Basel Research Database: Journal article
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Last Modified:07 Aug 2020 13:11
Deposited On:07 Aug 2020 13:11

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