Numerical Study of Approximation Techniques for the Temporal Weights to the DWR Method
<|reference_start|>Numerical Study of Approximation Techniques for the Temporal Weights to the DWR Method: 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.<|reference_end|>
@article{bruchhäuser2024numerical,
    title={Numerical Study of Approximation Techniques for the Temporal Weights to
  the DWR Method},
    author={Marius Paul Bruchh"auser and Markus Bause},
    journal={arXiv preprint arXiv:2407.13418},
    year={2024},
    archivePrefix={arXiv},
    eprint={2407.13418},
    primaryClass={math.NA cs.NA}
}