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

15.08.2024

Publikationsstatus

Veröffentlicht

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)