A least squares coupling method with finite elements and boundary elements for transmission problems

DOI10.1016/j.camwa.2004.10.002zbMath1067.65131OpenAlexW2108740479MaRDI QIDQ1770670

Matthias Maischak, Ernst Peter Stephan

Publication date: 7 April 2005

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2004.10.002

zbMATH Keywords

finite elementsconjugate gradient methodmultigridboundary elementstransmission problemsRaviart-Thomas elementsmultilevel preconditionersleast squares methods

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Boundary value problems for second-order elliptic equations (35J25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (4)

A least-squares FEM-BEM coupling method for linear elasticity ⋮ On the coupling of DPG and BEM ⋮ On an adaptive FEM-BEM for nonlinear transmission problem ⋮ An adaptive least-squares mixed finite element method for nonlinear parabolic problems

Uses Software

• maiprogs

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Coupling of finite elements and boundary elements for some nonlinear interface problems
• On the finite element-least squares approximation to higher order elliptic systems
• On finite element methods of the least squares type
• The preconditioned GMRES method for systems of coupled FEM-BEM equations
• Symmetric coupling of boundary elements and Raviart-Thomas-type mixed finite elements in elastostatics
• On the \(h\)-adaptive coupling of FE and BE for viscoplastic and elasto-plastic interface problems
• Parallel Multilevel Preconditioners
• Finite Element Methods for Navier-Stokes Equations
• Least Squares Methods for Elliptic Systems
• The Galerkin Method for Integral Equations of the First Kind with Logarithmic Kernel: Theory
• Boundary Integral Operators on Lipschitz Domains: Elementary Results
• On least squares approximations to indefinite problems of the mixed type
• A Least Squares Decomposition Method for Solving Elliptic Equations
• Finite Element Methods of Least-Squares Type
• The Analysis of Multigrid Algorithms for Pseudodifferential Operators of Order Minus One
• Additive schwarz methods for the H-version boundary element method
• A least-squares approach based on a discrete minus one inner product for first order systems
• Domain decomposition methods for boundary integral equations of the first kind: numerical results
• Least Squares Methods for the Coupling of FEM and BEM
• A FEM-DtN formulation for a non-linear exterior problem in incompressible elasticity
• Adaptive coupling of boundary elements and finite elements
• Coupling of Finite and Boundary Element Methods for an Elastoplastic Interface Problem
• Least Squares Methods for 2mth Order Elliptic Boundary-Value Problems

This page was built for publication: A least squares coupling method with finite elements and boundary elements for transmission problems