Number of the records: 1
Numerical approximation of von Kármán viscoelastic plates
- 1.0536098 - ÚTIA 2022 RIV US eng J - Journal Article
Friedrich, M. - Kružík, Martin - Valdman, Jan
Numerical approximation of von Kármán viscoelastic plates.
Discrete and Continuous Dynamical systems - Series S. Roč. 14, č. 1 (2021), s. 299-319. ISSN 1937-1632. E-ISSN 1937-1179
R&D Projects: GA ČR GA17-04301S
Institutional support: RVO:67985556
Keywords : Viscoelasticity * metric gradient ows * numerics
OECD category: Pure mathematics
Impact factor: 1.865, year: 2021
Method of publishing: Limited access
http://library.utia.cas.cz/separaty/2020/MTR/kruzik-0536098.pdf https://www.aimsciences.org/article/doi/10.3934/dcdss.2020322
We consider metric gradient ows and their discretizations in time and space. We prove an abstract convergence result for time-space discretizations and identify their limits as curves of maximal slope. As an application, we consider a nite element approximation of a quasistatic evolution for viscoelastic von Karman plates. Computational experiments exploiting C1 nite elements are provided, too.
Permanent Link: http://hdl.handle.net/11104/0314166
Number of the records: 1