Details
| Original language | English |
|---|---|
| Article number | 25 |
| Journal | Journal of scientific computing |
| Volume | 99 |
| Issue number | 1 |
| Early online date | 15 Mar 2024 |
| Publication status | Published - Apr 2024 |
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.
ASJC Scopus subject areas
- Computer Science(all)
- Software
- Engineering(all)
- Mathematics(all)
- Computational Mathematics
- Mathematics(all)
- Theoretical Computer Science
- Mathematics(all)
- Applied Mathematics
- Mathematics(all)
- Numerical Analysis
- Computer Science(all)
- Computational Theory and Mathematics
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In: Journal of scientific computing, Vol. 99, No. 1, 25, 04.2024.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Numerical Modeling and Open-Source Implementation of Variational Partition-of-Unity Localizations of Space-Time Dual-Weighted Residual Estimators for Parabolic Problems
AU - Thiele, J. P.
AU - Wick, T.
N1 - Open Access funding enabled and organized by Projekt DEAL. This work is funded by the Deutsche Forschungsgemeinschaft (DFG) under Germany’s Excellence Strategy within the Cluster of Excellence PhoenixD (EXC 2122, Project ID 390833453).
PY - 2024/4
Y1 - 2024/4
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85185836678&partnerID=8YFLogxK
U2 - 10.1007/s10915-024-02485-6
DO - 10.1007/s10915-024-02485-6
M3 - Article
VL - 99
JO - Journal of scientific computing
JF - Journal of scientific computing
SN - 0885-7474
IS - 1
M1 - 25
ER -