Coupling of FEM and BEM for Interface Problems in Viscoplasticity and Plasticity with Hardening

DOI10.1137/0733011zbMath0846.73059OpenAlexW2095993520MaRDI QIDQ4875497

Carsten Carstensen

Publication date: 4 June 1996

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

Full work available at URL: https://doi.org/10.1137/0733011

zbMATH Keywords

convergenceexistenceerror estimatesuniquenessuniform boundednessimplicit Euler methodUzawa algorithmbounded Lipschitz domainfirst order evolution inclusionPrandtl-Reuß plasticityquasi-static equilibrium condition

Mathematics Subject Classification ID

Small-strain, rate-dependent theories of plasticity (including theories of viscoplasticity) (74C10) Boundary element methods applied to problems in solid mechanics (74S15) Finite element methods applied to problems in solid mechanics (74S05)

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Stability of symmetric and nonsymmetric FEM-BEM couplings for nonlinear elasticity problems, Averaging techniques for reliable a posteriori FE error control in elastoplasticity with hardening, On the \(h\)-adaptive coupling of FE and BE for viscoplastic and elasto-plastic interface problems, A posteriori error estimate for the symmetric coupling of finite elements and boundary elements, Singularities and treatments of elliptic boundary value problems., Runge-Kutta methods in elastoplasticity