Convergence analysis of time-discretisation schemes for rate-independent systems

DOI10.1051/cocv/2018048zbMath1437.49009arXiv1712.06851OpenAlexW2963831338MaRDI QIDQ5107970

Dorothee Knees

Publication date: 29 April 2020

Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.06851

zbMATH Keywords

rate-independent systemalternate minimisation schemeconvergence analysis of time-discrete schemeslocal minimisation schemeparametrised BV-solution

Mathematics Subject Classification ID

Variational inequalities (49J40) Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials) (74C05) Numerical approximation of solutions of dynamical problems in solid mechanics (74H15) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Existence theories for problems in abstract spaces (49J27) PDEs in connection with mechanics of deformable solids (35Q74)

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