Numerical Study of Approximation Techniques for the Temporal Weights to the DWR Method
Numerical Analysis
2024-07-19 v1 Numerical Analysis
Abstract
This work presents a numerical investigation of different approximation techniques for the temporal weights used in the Dual Weighted Residual (DWR) method applied to a time-dependent convection-diffusion equation which is assumed to be convection-dominated. It is a continuation of a previous work by the authors where spatial weights were compared for a steady-state case. A higher-order finite elements approach is compared to a more cost-efficient higher-order reconstruction approach. Numerical examples point out the results regarding accuracy, efficiency and stability reasons.
Cite
@article{arxiv.2407.13418,
title = {Numerical Study of Approximation Techniques for the Temporal Weights to the DWR Method},
author = {Marius Paul Bruchhäuser and Markus Bause},
journal= {arXiv preprint arXiv:2407.13418},
year = {2024}
}