Numerical Study of Approximation Techniques for the Temporal Weights to the DWR Method
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866916329515122688 |
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| author | Bruchhäuser, Marius Paul Bause, Markus |
| author_facet | Bruchhäuser, Marius Paul Bause, Markus |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2407_13418 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Numerical Study of Approximation Techniques for the Temporal Weights to the DWR Method Bruchhäuser, Marius Paul Bause, Markus Numerical Analysis 65 G.1 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. |
| title | Numerical Study of Approximation Techniques for the Temporal Weights to the DWR Method |
| topic | Numerical Analysis 65 G.1 |
| url | https://arxiv.org/abs/2407.13418 |