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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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 |
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| UniBasel Contributors: | Baffet, Daniel and Grote, Marcus J. |
| Item Type: | Preprint |
| Publisher: | Universität Basel |
| Language: | English |
| edoc DOI: | |
| Last Modified: | 11 Apr 2019 15:20 |
| Deposited On: | 11 Apr 2019 15:20 |
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