NUMERICAL APPROXIMATION OF VON KARMAN VISCOELASTIC PLATES

被引：4

作者：

Friedrich, Manuel ^{[1
]}

Kruzik, Martin ^{[2
,3
]}

Valdman, Jan ^{[2
,4
]}

机构：

[1] Univ Munster, Inst Computat & Appl Math, Einsteinstr 62, D-48149 Munster, Germany

[2] Czech Acad Sci, Inst Informat Theory & Automat, Vodarenskou Vezi 4, CZ-18200 Prague 8, Czech Republic

[3] Czech Tech Univ, Fac Civil Engn, Thakurova 7, CZ-16629 Prague 6, Czech Republic

[4] Univ South Bohemia, Inst Math, Branisovska 1760, CZ-37005 Ceske Budejovice, Czech Republic

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S | 2021年 / 14卷 / 01期

关键词：

Viscoelasticity; metric gradient flows; Gamma-convergence; dissipative distance; minimizing movements; numerical approximation; NONLINEAR ELASTICITY; GAMMA-CONVERGENCE; GRADIENT FLOWS; EQUATIONS; MODEL;

D O I：

10.3934/dcdss.2020322

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider metric gradient flows 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 finite element approximation of a quasistatic evolution for viscoelastic von Karman plates [44]. Computational experiments exploiting C1 finite elements are provided, too.

引用

页码：299 / 319

页数：21

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