0575749 - MÚ 2025 RIV NL eng J - Článek v odborném periodiku
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
Grant CEP: GA ČR(CZ) GA23-06159S
Institucionální podpora: RVO:67985840
Klíčová slova: Airy function * divergence-free finite elements * dual variational formulation * mixed boundary conditions
Obor OECD: Pure mathematics
Impakt faktor: 2.1, rok: 2023 ; AIS: 0.645, rok: 2023
Způsob publikování: Open access
Web výsledku:
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.
Trvalý link: https://hdl.handle.net/11104/0345481