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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Abstract
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 |
| Publisher: | Springer |
| ISSN: | 0885-7474 |
| e-ISSN: | 1573-7691 |
| Note: | Publication type according to Uni Basel Research Database: Journal article |
| Identification Number: | |
| Last Modified: | 07 Aug 2020 13:11 |
| Deposited On: | 07 Aug 2020 13:11 |
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