An optimal adaptive finite element method for elastoplasticity

DOI10.1007/s00211-015-0714-9zbMath1338.74099OpenAlexW1977018702MaRDI QIDQ907051

Sebastian Wiedemann, Andreas Schröder, Carsten Carstensen

Publication date: 1 February 2016

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00211-015-0714-9

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) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Numerical methods for variational inequalities and related problems (65K15)

Cites Work

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• Error estimates in elastoplasticity using a mixed method
• Finite element analysis of a holonomic elastic-plastic problem
• Convergence of adaptive finite element methods in computational mechanics
• Computational inelasticity
• Error indicators and mesh refinements for finite element computations of elastoplastic deformations
• Plasticity. Mathematical theory and numerical analysis
• A nonsmooth Newton method for elastoplastic problems
• Numerical analysis of the primal problem of elastoplasticity with hardening
• A review of a posteriori error estimation techniques for elasticity problems
• Adaptive finite element methods with convergence rates
• Adaptive numerical analysis in primal elastoplasticity with hardening
• Convergence analysis of a conforming adaptive finite element method for an obstacle problem
• Optimality of a standard adaptive finite element method
• Numerical solution of the two-yield elastoplastic minimization problem
• A quasi-static boundary value problem in multi-surface elastoplasticity: Part 1—Analysis
• An optimal adaptive mixed finite element method
• Convergence of an adaptive FEM for a class of degenerate convex minimization problems
• Solution of One-Time-Step Problems in Elastoplasticity by a Slant Newton Method
• Quasi-Optimal Convergence Rate for an Adaptive Finite Element Method
• A Convergent Adaptive Algorithm for Poisson’s Equation
• A convergent adaptive finite element method for the primal problem of elastoplasticity
• Nonlinear solution methods for infinitesimal perfect plasticity

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