Rothe method and numerical analysis for history-dependent hemivariational inequalities with applications to contact mechanics

DOI10.1007/s11075-019-00667-0zbMath1433.65192arXiv1901.09522OpenAlexW2913751519MaRDI QIDQ2274155

Stanislaw Migórski, Sheng-Da Zeng

Publication date: 19 September 2019

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.09522

zbMATH Keywords

error estimatesfinite element methodfrictional contacthemivariational inequalityviscoelastic materialRothe methodhistory-dependent operatorClarke subgradient

Mathematics Subject Classification ID

Friction in solid mechanics (74M10) Finite element methods applied to problems in solid mechanics (74S05) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Dynamical problems in solid mechanics (74H99) Unilateral problems for nonlinear hyperbolic equations and variational inequalities with nonlinear hyperbolic operators (35L86) Unilateral problems for hyperbolic systems and systems of variational inequalities with hyperbolic operators (35L87)

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