Numerical approximation of von K-ARM-AN viscoelastic plates

Friedrich M, Kruzik M, Valdman J (2021)

Publication Type: Journal article

Publication year: 2021

Journal

Discrete and Continuous Dynamical Systems. Series S American Institute of Mathematical Sciences (AIMS)

Book Volume: 14

Pages Range: 299-319

Journal Issue: 1

DOI: 10.3934/DCDSS.2020322

Abstract

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 K_arm_an plates [44]. Computational experiments exploiting C1_nite elements are provided, too.

Authors with CRIS profile

Manuel Friedrich

Involved external institutions

Westfälische Wilhelms-Universität (WWU) Münster DE Germany (DE) Academy of Sciences of the Czech Republic (ASCR) / Akademie věd České republiky (AVČR) CZ Czech Republic (CZ)

How to cite

APA:

Friedrich, M., Kruzik, M., & Valdman, J. (2021). Numerical approximation of von K-ARM-AN viscoelastic plates. Discrete and Continuous Dynamical Systems. Series S, 14(1), 299-319. https://doi.org/10.3934/DCDSS.2020322

MLA:

Friedrich, Manuel, Martin Kruzik, and Jan Valdman. "Numerical approximation of von K-ARM-AN viscoelastic plates." Discrete and Continuous Dynamical Systems. Series S 14.1 (2021): 299-319.

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