A coupled HDG discretization for the interaction between acoustic and elastic waves
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866914060039094272 |
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| author | Artaza-Covarrubias, Fernando Sánchez-Vizuet, Tonatiuh Solano, Manuel |
| author_facet | Artaza-Covarrubias, Fernando Sánchez-Vizuet, Tonatiuh Solano, Manuel |
| contents | We propose and analyze an HDG scheme for the Laplace-domain interaction between a transient acoustic wave and a bounded elastic solid embedded in an unbounded fluid medium. Two mixed variables (the stress tensor and the velocity of the acoustic wave) are included while the symmetry of the stress tensor is imposed weakly by considering the antisymmetric part of the strain tensor (the spin or vorticity tensor) as an additional unknown. Convergence of the method is demonstrated and theoretical rates are obtained; numerical results suggesting optimal order of convergence and superconvergence of the traces are presented. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_15106 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A coupled HDG discretization for the interaction between acoustic and elastic waves Artaza-Covarrubias, Fernando Sánchez-Vizuet, Tonatiuh Solano, Manuel Numerical Analysis Computational Physics 74J05, 65M60, 65M15, 65M12 We propose and analyze an HDG scheme for the Laplace-domain interaction between a transient acoustic wave and a bounded elastic solid embedded in an unbounded fluid medium. Two mixed variables (the stress tensor and the velocity of the acoustic wave) are included while the symmetry of the stress tensor is imposed weakly by considering the antisymmetric part of the strain tensor (the spin or vorticity tensor) as an additional unknown. Convergence of the method is demonstrated and theoretical rates are obtained; numerical results suggesting optimal order of convergence and superconvergence of the traces are presented. |
| title | A coupled HDG discretization for the interaction between acoustic and elastic waves |
| topic | Numerical Analysis Computational Physics 74J05, 65M60, 65M15, 65M12 |
| url | https://arxiv.org/abs/2505.15106 |