On the coupling of boundary integral and finite element methods with nonlinear transmission conditions

DOI10.1080/00036819608840477zbMath0862.65065OpenAlexW2040559089WikidataQ58135064 ScholiaQ58135064MaRDI QIDQ5285379

Gabriel N. Gatica, Gabriel R. Barrenechea

Publication date: 25 May 1997

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036819608840477

zbMATH Keywords

boundary integral methodfinite element methodsLaplace equationexterior boundary value problemscoupling procedurenonlinear second-order elliptic equationnonlinear flux jump

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items

Existence results for a nonlinear nonautonomous transmission problem via domain perturbation, Coupling of FEM and BEM for a transmission problem with nonlinear interface conditions. Hierarchical and residual error indicators, Primal mixed formulations for the coupling of FEM and BEM. Part I: linear problems, Variational formulations of transmission problems via FEM, BEM and DtN mappings, Weak solvability of interior transmission problems via mixed finite elements and Dirichlet-to-Neumann mappings, On the numerical analysis of finite element and dirichlet-to-neumann methods for nonlinear exterior transmission problems, Existence results for a nonlinear transmission problem

Cites Work

• Unnamed Item
• Coupling of finite elements and boundary elements for some nonlinear interface problems
• Finite element solution of nonlinear elliptic problems
• On the boundary element method for some nonlinear boundary value problems
• On the coupling of boundary integral and finite element methods
• A finite element method for exterior interface problems
• A finite element method for some integral equations of the first kind
• On the coupled BEM and FEM for a nonlinear exterior Dirichlet problem in \(\mathbb{R}^ 2\)
• A convergent finite element formulation for transonic flow
• The uncoupling of boundary integral and finite element methods for nonlinear boundary value problems
• Finite elements for transonic potential flows
• Plenary Lectures
• The coupling of boundary integral and finite element methods for the bidimensional exterior steady stokes problem
• On the Coupling Boundary Integral and Finite Element Methods for the Exterior Stokes Problem in 3-D
• Boundary Integral Operators on Lipschitz Domains: Elementary Results
• The coupling of boundary integral and finite element methods for nonmonotone nonlinear problems^∗
• Coupling of Mixed Finite Elements and Boundary Elements for A Hyperelastic Interface Problem
• Variational Formulations for Coupled BE/FE Methods in Elastostatics
• Coupling of Finite and Boundary Element Methods for an Elastoplastic Interface Problem
• Coupling of mixed finite elements and boundary elements for linear and nonlinear elliptic problems