Article
| Title: | Perfectly matched layers in time domain. A simplified two-dimensional error analysis (English) |
| Author: | Bryan, Kurt M. |
| Author: | Vogelius, Michael S. |
| Language: | English |
| Journal: | Applications of Mathematics |
| ISSN: | 0862-7940 (print) |
| ISSN: | 1572-9109 (online) |
| Volume: | 71 |
| Issue: | 1 |
| Year: | 2026 |
| Pages: | 31-57 |
| Summary lang: | English |
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| Category: | math |
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| Summary: | 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 to problems at a fixed frequency. In this paper we provide very explicit time-domain bounds on the accuracy of PML for the inhomogeneous two-dimensional wave equation with a particular type of forcing term, and illustrate our conclusions with some numerical examples. (English) |
| Keyword: | perfectly matched layer |
| Keyword: | wave equation |
| Keyword: | time-domain bound |
| MSC: | 35A35 |
| MSC: | 35C99 |
| MSC: | 35L05 |
| idZBL: | Zbl 08162245 |
| idMR: | MR5029288 |
| DOI: | 10.21136/AM.2026.0055-25 |
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| Date available: | 2026-02-02T11:17:02Z |
| Last updated: | 2026-03-02 |
| Stable URL: | http://hdl.handle.net/10338.dmlcz/153333 |
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