Work

Equilibration‐Based A Posteriori Error Estimates for Solid Mechanics

Year: 2025

Type: article

Abstract: ABSTRACT A posteriori error estimates and the corresponding adaptive finite element methods enable the computation of solutions with a prescribed accuracy while ensuring optimal convergence rates. An important class of reliable and fully computable error estimates relies on the concept of equilibration. This contribution compares the computational efficiency of different adaptive finite element methods for linear elasticity, all relying on equilibrated stresses. A main aspect of the presented analysis is the influence of the initial mesh quality on the convergence behaviour, as initial meshes for adaptive calculations are typically coarse and therefore prone to skew cells.

Source: PAMM

DOI: 10.1002/pamm.70045

Authors: Maximilian Brodbeck, Nicolas Grünfelder, Fleurianne Bertrand, Tim Ricken

Institutions: University of Stuttgart, Chemnitz University of Technology

Language: English

Topic: Advanced Numerical Methods in Computational Mathematics

Subfield: Computational Mechanics

Field: Engineering

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,090

Funder: Deutsche Forschungsgemeinschaft