Adaptive finite element methods based on flux and stress equilibration using FEniCSx
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866917801864724480 |
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| author | Brodbeck, Maximilian Bertrand, Fleurianne Ricken, Tim |
| author_facet | Brodbeck, Maximilian Bertrand, Fleurianne Ricken, Tim |
| contents | This contribution shows how a-posteriori error estimators based on equilibrated fluxes - H(div) functions fulfilling the underlying conservation law - can be implemented in FEniCSx. Therefore, dolfinx_eqlb is introduced, its algorithmic structure is described and classical benchmarks for adaptive solution procedures for the Poisson problem and linear elasticity are presented. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_09764 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Adaptive finite element methods based on flux and stress equilibration using FEniCSx Brodbeck, Maximilian Bertrand, Fleurianne Ricken, Tim Numerical Analysis Mathematical Software This contribution shows how a-posteriori error estimators based on equilibrated fluxes - H(div) functions fulfilling the underlying conservation law - can be implemented in FEniCSx. Therefore, dolfinx_eqlb is introduced, its algorithmic structure is described and classical benchmarks for adaptive solution procedures for the Poisson problem and linear elasticity are presented. |
| title | Adaptive finite element methods based on flux and stress equilibration using FEniCSx |
| topic | Numerical Analysis Mathematical Software |
| url | https://arxiv.org/abs/2410.09764 |