Work

Normal-normal continuous symmetric stress approximation in three-dimensional linear elasticity

Year: 2026

Type: article

Abstract: We present a conforming setting for a mixed formulation of linear elasticity with symmetric stress that has normal-normal continuous components across faces of tetrahedral meshes. We provide a stress element for this formulation with 30 degrees of freedom that correspond to standard boundary conditions. The resulting scheme converges quasi-optimally and is locking free. Numerical experiments illustrate the performance.

Source: Numerische Mathematik

DOI: 10.1007/s00211-026-01545-3

Authors: Carsten Carstensen, Norbert Heuer

Institutions: Humboldt-Universität zu Berlin, Pontificia Universidad Católica de Chile

Language: English

Topic: Advanced Numerical Methods in Computational Mathematics

Subfield: Computational Mechanics

Field: Engineering

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,190

OpenAlex ID: W4407123778