0575749 - MÚ 2025 RIV NL eng J - Journal Article
Korotov, S. - Křížek, Michal
Divergence-free finite element spaces for stress tensors.
Journal of Computational and Applied Mathematics. Roč. 438, March 1 (2024), č. článku 115537. ISSN 0377-0427. E-ISSN 1879-1778
R&D Projects: GA ČR(CZ) GA23-06159S
Institutional support: RVO:67985840
Keywords : Airy function * divergence-free finite elements * dual variational formulation * mixed boundary conditions
OECD category: Pure mathematics
Impact factor: 2.1, year: 2023 ; AIS: 0.645, rok: 2023
Method of publishing: Open access
Result website:
https://doi.org/10.1016/j.cam.2023.115537DOI: https://doi.org/10.1016/j.cam.2023.115537

We construct finite element spaces of symmetric stress tensors that are exactly divergence-free. Moreover, their basis functions can be chosen so that they have small supports. These properties are highly desired in a number of important applications. Approximation properties of finite element spaces of divergence-free tensor functions are derived from properties of C1 finite elements.
Permanent Link: https://hdl.handle.net/11104/0345481