Perfectly matched layers in time domain. A simple two-dimensional error analysis
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912266868228096 |
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| author | Bryan, Kurt Vogelius, Michael S. |
| author_facet | Bryan, Kurt Vogelius, Michael S. |
| contents | 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 problems at a fixed frequency. In this paper we provide very explicit time-domain bounds on the accuracy of PML for the two-dimensional wave equation and illustrate our conclusions with some numerical examples. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_06656 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Perfectly matched layers in time domain. A simple two-dimensional error analysis Bryan, Kurt Vogelius, Michael S. Analysis of PDEs 35J05, 35L05 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 problems at a fixed frequency. In this paper we provide very explicit time-domain bounds on the accuracy of PML for the two-dimensional wave equation and illustrate our conclusions with some numerical examples. |
| title | Perfectly matched layers in time domain. A simple two-dimensional error analysis |
| topic | Analysis of PDEs 35J05, 35L05 |
| url | https://arxiv.org/abs/2503.06656 |