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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2509.08936 |
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| _version_ | 1866917242914996224 |
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| author | Imbert-Gérard, Lise-Marie Lagardère, Andréa Sylvand, Guillaume Tordeux, Sébastien |
| author_facet | Imbert-Gérard, Lise-Marie Lagardère, Andréa Sylvand, Guillaume Tordeux, Sébastien |
| contents | This work is concerned with the development of quasi-Trefftz methods for first-order differential systems. It focuses on discrete quasi-Trefftz spaces, starting from their definition and including the construction of corresponding bases together with their computational aspect.
This is the first attempt at constructing quasi-Trefftz bases for a problem governed by a first-order system without relying on an auxiliary scalar equation. A decoupling approach, with a second order scalar equation for the one unknown, is proposed here simply as a point of comparison to this new approach. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_08936 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Quasi-Trefftz spaces for a first-order formulation of the Helmholtz equation Imbert-Gérard, Lise-Marie Lagardère, Andréa Sylvand, Guillaume Tordeux, Sébastien Numerical Analysis This work is concerned with the development of quasi-Trefftz methods for first-order differential systems. It focuses on discrete quasi-Trefftz spaces, starting from their definition and including the construction of corresponding bases together with their computational aspect. This is the first attempt at constructing quasi-Trefftz bases for a problem governed by a first-order system without relying on an auxiliary scalar equation. A decoupling approach, with a second order scalar equation for the one unknown, is proposed here simply as a point of comparison to this new approach. |
| title | Quasi-Trefftz spaces for a first-order formulation of the Helmholtz equation |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/2509.08936 |