Space-time error control using a partition-of-unity dual-weighted residual method applied to low mach number combustion
Numerical Analysis
2021-12-24 v1 Numerical Analysis
Optimization and Control
Abstract
In this work, a space-time scheme for goal-oriented a posteriori error estimation is proposed. The error estimator is evaluated using a partition-of-unity dual-weighted residual method. As application, a low mach number combustion equation is considered. In some numerical tests, different interpolation variants are investigated, while observing convergence orders and effectivity indices between true errors (obtained on a sufficiently refined mesh) and the error estimator.
Keywords
Cite
@article{arxiv.2112.12480,
title = {Space-time error control using a partition-of-unity dual-weighted residual method applied to low mach number combustion},
author = {Jan Philipp Thiele and Thomas Wick},
journal= {arXiv preprint arXiv:2112.12480},
year = {2021}
}