FEM-BEM mortar coupling for the Helmholtz problem in three dimensions
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2020
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| _version_ | 1866914883666182144 |
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| author | Mascotto, Lorenzo Melenk, Jens Markus Perugia, Ilaria Rieder, Alexander |
| author_facet | Mascotto, Lorenzo Melenk, Jens Markus Perugia, Ilaria Rieder, Alexander |
| contents | We present a FEM-BEM coupling strategy for time-harmonic acoustic scattering in media with variable sound speed. The coupling is realized with the aid of a mortar variable that is an impedance trace on the coupling boundary. The resulting sesquilinear form is shown to satisfy a Garding inequality. Quasi-optimal convergence is shown for sufficiently fine meshes. Numerical examples confirm the theoretical convergence results. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2004_03523 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | FEM-BEM mortar coupling for the Helmholtz problem in three dimensions Mascotto, Lorenzo Melenk, Jens Markus Perugia, Ilaria Rieder, Alexander Numerical Analysis 65N38, 65N12, 65N15, 35J05, 65R20 We present a FEM-BEM coupling strategy for time-harmonic acoustic scattering in media with variable sound speed. The coupling is realized with the aid of a mortar variable that is an impedance trace on the coupling boundary. The resulting sesquilinear form is shown to satisfy a Garding inequality. Quasi-optimal convergence is shown for sufficiently fine meshes. Numerical examples confirm the theoretical convergence results. |
| title | FEM-BEM mortar coupling for the Helmholtz problem in three dimensions |
| topic | Numerical Analysis 65N38, 65N12, 65N15, 35J05, 65R20 |
| url | https://arxiv.org/abs/2004.03523 |