Quasi-Trefftz spaces for a first-order formulation of the Helmholtz equation
Fuente:
arXiv
Guardado en:
| Autores principales: | , , , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2025
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866917242914996224 |
|---|---|
| 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 |