A monolithic space–time temporal multirate finite element framework for interface and volume coupled problems

verfasst von: Julian Roth, Martyna Soszyńska, Thomas Richter, Thomas Wick
Abstract: In this work, we propose and computationally investigate a monolithic space–time multirate scheme for coupled problems. The novelty lies in the monolithic formulation of the multirate approach as this requires a careful design of the functional framework, corresponding discretization, and implementation. Our method of choice is a tensor-product Galerkin space–time discretization. The developments are carried out for both prototype interface- and volume coupled problems such as coupled wave-heat-problems and a displacement equation coupled to Darcy flow in a poro-elastic medium. The latter is applied to the well-known Mandel’s benchmark and a three-dimensional footing problem. Detailed computational investigations and convergence analyses give evidence that our monolithic multirate framework performs well.
Organisationseinheit(en): Institut für Angewandte Mathematik
PhoenixD: Simulation, Fabrikation und Anwendung optischer Systeme
Externe Organisation(en): Universität Paris-Saclay
Otto-von-Guericke-Universität Magdeburg
Typ: Artikel
Journal: Journal of Computational and Applied Mathematics
Band: 446
Seiten: 115831
ISSN: 0771-050X
Publikationsdatum: 28.02.2024
Publikationsstatus: Elektronisch veröffentlicht (E-Pub)
Peer-reviewed: Ja
ASJC Scopus Sachgebiete: Computational Mathematics, Angewandte Mathematik
Elektronische Version(en): https://doi.org/10.48550/arXiv.2307.12455 (Zugang: Offen)
https://doi.org/10.1016/j.cam.2024.115831 (Zugang: Offen)