Adaptive time-domain boundary element methods for the wave equation with Neumann boundary conditions
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
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| _version_ | 1866911124310458368 |
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| author | Aimi, Alessandra Di Credico, Giulia Gimperlein, Heiko Guardasoni, Chiara |
| author_facet | Aimi, Alessandra Di Credico, Giulia Gimperlein, Heiko Guardasoni, Chiara |
| contents | This article investigates adaptive mesh refinement procedures for the time-domain wave equation with Neumann boundary conditions, formulated as an equivalent hypersingular boundary integral equation. Space-adaptive and time-adaptive versions of a space-time boundary element method are presented, based on a reliable a posteriori error estimate of residual type. Numerical experiments illustrate the performance of the proposed approach. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_12332 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Adaptive time-domain boundary element methods for the wave equation with Neumann boundary conditions Aimi, Alessandra Di Credico, Giulia Gimperlein, Heiko Guardasoni, Chiara Numerical Analysis This article investigates adaptive mesh refinement procedures for the time-domain wave equation with Neumann boundary conditions, formulated as an equivalent hypersingular boundary integral equation. Space-adaptive and time-adaptive versions of a space-time boundary element method are presented, based on a reliable a posteriori error estimate of residual type. Numerical experiments illustrate the performance of the proposed approach. |
| title | Adaptive time-domain boundary element methods for the wave equation with Neumann boundary conditions |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/2508.12332 |