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arXiv · 2410.09764

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

Maximilian Brodbeck·Fleurianne Bertrand·Tim Ricken
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Abstract

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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Maximilian Brodbeck, Fleurianne Bertrand, Tim Ricken. 2024-10-13. Adaptive finite element methods based on flux and stress equilibration using FEniCSx. https://arxiv.org/abs/2410.09764

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