Coupling of finite elements and boundary elements for some nonlinear interface problems

DOI10.1016/0045-7825(92)90015-CzbMath0778.73076MaRDI QIDQ686930

Ernst Peter Stephan

Publication date: 17 October 1993

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

zbMATH Keywords

rates of convergenceGalerkin approximationpiecewise constant functions\(h\) versionpiecewise bilinear functions

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Boundary element methods applied to problems in solid mechanics (74S15) Finite element methods applied to problems in solid mechanics (74S05)

Related Items

Unnamed Item, On the coupling of boundary integral and finite element methods with nonlinear transmission conditions, A boundary-field equation method for a nonlinear exterior elasticity problem in the plane, The \(h\)-\(p\) boundary element method for solving 2- and 3-dimensional problems, Stability of symmetric and nonsymmetric FEM-BEM couplings for nonlinear elasticity problems, FEM-BEM coupling methods for tokamak plasma axisymmetric free-boundary equilibrium computations in unbounded domains, Coupling of FEM and BEM for a transmission problem with nonlinear interface conditions. Hierarchical and residual error indicators, Coupling of finite element and boundary element methods with regularization for a nonlinear interface problem with nonmonotone set-valued transmission conditions, Coupling of mixed finite elements and boundary elements for linear and nonlinear elliptic problems, A dual-dual mixed formulation for nonlinear exterior transmission problems, Hybrid FEM/BEM modeling of finite-sized photonic crystals for semiconductor laser beams, A two-grid method for semi-linear elliptic interface problems by partially penalized immersed finite element methods, A least squares coupling method with finite elements and boundary elements for transmission problems, Adaptive FEM-BEM coupling with a Schur complement error indicator, A mixed-FEM formulation for nonlinear incompressible elasticity in the plane, Singularities and treatments of elliptic boundary value problems.

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Experimental convergence rates for various couplings of boundary and finite elements
• Integral equations for transmission problems in linear elasticity
• The coupling of boundary element and finite element methods for a nonlinear exterior boundary value problem
• Duality estimates for the numerical solution of integral equations
• An exterior interface problem in two-dimensional elastodynamics
• On the Coupling of Boundary Integral and Finite Element Methods
• Coupling of Finite and Boundary Element Methods for an Elastoplastic Interface Problem