Locally different models in a checkerboard pattern with mesh adaptation and error control for multiple quantities of interest
Abstract
In this work, we apply multi-goal oriented error estimation to the finite element method. In particular, we use the dual weighted residual method and apply it to a model problem. This model problem consist of locally different coercive partial differential equations in a checkerboard pattern, where the solution is continuous across the interface. In addition to the error estimation, the error can be localized using a partition of unity technique. The resulting adaptive algorithm is substantiated with a numerical example.
Details
- Organisationseinheit(en)
-
Institut für Angewandte Mathematik
PhoenixD: Simulation, Fabrikation und Anwendung optischer Systeme
- Typ
- Konferenzaufsatz in Fachzeitschrift
- Journal
- PAMM - Proceedings in Applied Mathematics and Mechanics
- Band
- 24
- Anzahl der Seiten
- 8
- ISSN
- 1617-7061
- Publikationsdatum
- 24.10.2024
- Publikationsstatus
- Veröffentlicht
- Peer-reviewed
- Ja
- Elektronische Version(en)
-
https://doi.org/10.1002/pamm.202400157 (Zugang:
Offen
)
https://doi.org/10.48550/arXiv.2405.18567 (Zugang: Offen )
