Quasi-optimal Error Estimates for Implicit Discretizations of Rate-Independent Evolutions

DOI10.1137/130933964zbMath1457.65095OpenAlexW2082777672MaRDI QIDQ5495205

Sören Bartels

Publication date: 31 July 2014

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/958c3648b4e456e5ed2539d1cee05a01783b2697

zbMATH Keywords

plasticityimplicit discretizationrate-independent evolutionsubdifferential flow

Mathematics Subject Classification ID

Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials) (74C05) Finite element methods applied to problems in solid mechanics (74S05) Numerical approximation of solutions of dynamical problems in solid mechanics (74H15) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) PDEs in connection with mechanics of deformable solids (35Q74) Numerical methods for variational inequalities and related problems (65K15)

Related Items (6)

Rate-Independent Systems and Their Viscous Regularizations: Analysis, Simulation, and Optimal Control ⋮ Regularity and approximation of strong solutions to rate-independent systems ⋮ A Priori Error Analysis of Local Incremental Minimization Schemes for Rate-Independent Evolutions ⋮ A priori error analysis for Navier Stokes equations with slip boundary conditions of friction type ⋮ Analysis of a time implicit scheme for the Oseen model driven by nonlinear slip boundary conditions ⋮ Adaptive time stepping in elastoplasticity

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