Papers › Adaptive finite element methods based on flux and stress equilibration using FEniCSx

Adaptive finite element methods based on flux and stress equilibration using FEniCSx

13 Oct 2024arXiv:2410.09764links table onlyarchive 2025-07-28

Maximilian Brodbeck, Fleurianne Bertrand, Tim Ricken

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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.

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brodbeck-m/afem-by-equilibration officialmentioned in papermentioned on GitHub report
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