Adaptive finite element methods based on flux and stress equilibration using FEniCSx
Numerical Analysis
2024-10-15 v1 Mathematical Software
Numerical Analysis
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.
Keywords
Cite
@article{arxiv.2410.09764,
title = {Adaptive finite element methods based on flux and stress equilibration using FEniCSx},
author = {Maximilian Brodbeck and Fleurianne Bertrand and Tim Ricken},
journal= {arXiv preprint arXiv:2410.09764},
year = {2024}
}