Numerical Modeling and Open-Source Implementation of Variational Partition-of-Unity Localizations of Space-Time Dual-Weighted Residual Estimators for Parabolic Problems

verfasst von

J. P. Thiele, T. Wick

Abstract

In this work, we consider space-time goal-oriented a posteriori error estimation for parabolic problems. Temporal and spatial discretizations are based on Galerkin finite elements of continuous and discontinuous type. The main objectives are the development and analysis of space-time estimators, in which the localization is based on a weak form employing a partition-of-unity. The resulting error indicators are used for temporal and spatial adaptivity. Our developments are substantiated with several numerical examples.

Organisationseinheit(en)

Institut für Angewandte Mathematik
PhoenixD: Simulation, Fabrikation und Anwendung optischer Systeme

Typ

Artikel

Journal

Journal of scientific computing

Band

99

ISSN

0885-7474

Publikationsdatum

04.2024

Publikationsstatus

Veröffentlicht

Peer-reviewed

Ja

ASJC Scopus Sachgebiete

Software, Ingenieurwesen (insg.), Computational Mathematics, Theoretische Informatik, Angewandte Mathematik, Numerische Mathematik, Theoretische Informatik und Mathematik

Elektronische Version(en)

https://doi.org/10.1007/s10915-024-02485-6 (Zugang: Offen)