Regularity and approximation of strong solutions to rate-independent systems

DOI10.1142/S0218202517500518zbMath1379.49036arXiv1702.01427OpenAlexW2963601444MaRDI QIDQ4595052

Filip Rindler, Sebastian Schwarzacher, Endre Süli

Publication date: 28 November 2017

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1702.01427

zbMATH Keywords

regularitystrong solutionsfinite element approximationsrate-independent systems

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) 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) Regularity of solutions in optimal control (49N60) Numerical solutions to equations with nonlinear operators (65J15) Discrete approximations in optimal control (49M25) Variational principles of physics (49S05) Regularity of solutions of dynamical problems in solid mechanics (74H30)

Related Items (5)

On numerical approximations to fluid-structure interactions involving compressible fluids ⋮ Two-speed solutions to non-convex rate-independent systems ⋮ A Priori Error Analysis of Local Incremental Minimization Schemes for Rate-Independent Evolutions ⋮ Convergence of \(\mathrm{dG}(1)\) in elastoplastic evolution ⋮ Separately global solutions to rate-independent processes in large-strain inelasticity

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