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arXiv · 2407.13418

Numerical Study of Approximation Techniques for the Temporal Weights to the DWR Method

Marius Paul Bruchhäuser·Markus Bause
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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.

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BibTeXRIS

Marius Paul Bruchhäuser, Markus Bause. 2024-07-18. Numerical Study of Approximation Techniques for the Temporal Weights to the DWR Method. https://arxiv.org/abs/2407.13418

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