Coupling of finite and boundary element methods for an elastoplastic interface problem
SIAM Journal on Numerical Analysis
Domain decomposition methods via boundary integral equations
Journal of Computational and Applied Mathematics - Special issue on numerical anaylsis 2000 Vol. VI: Ordinary differential equations and integral equations
Mixed Approximations for Boundary Elements
SIAM Journal on Numerical Analysis
The Fast Solution of Boundary Integral Equations (Mathematical and Analytical Techniques with Applications to Engineering)
Applications of a fast multipole Galerkin in boundary element method in linear elastostatics
Computing and Visualization in Science
The Validity of Johnson-Nédélec's BEM-FEM Coupling on Polygonal Interfaces
SIAM Journal on Numerical Analysis
Fast Evaluation of Volume Potentials in Boundary Element Methods
SIAM Journal on Scientific Computing
A Note on the Stable One-Equation Coupling of Finite and Boundary Elements
SIAM Journal on Numerical Analysis
Relaxing the hypotheses of Bielak–MacCamy’s BEM–FEM coupling
Numerische Mathematik
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In this paper we discuss the use of single and double layer boundary integral equations for the numerical solution of linear elasticity problems with boundary conditions of mixed type, and the one-equation coupling of finite and boundary element methods to solve a free space transmission problem. In particular we present a sufficient and necessary condition which ensures stability of the coupled approach for any choice of finite and boundary elements. These results justify the coupling of collocation and Galerkin one-equation boundary element methods with finite elements as used in many engineering and industrial applications. Hence one may avoid the use of the symmetric formulation of boundary integral equations, which is, although well established from a mathematical point of view and also used in some engineering applications, not so much accepted in particular in industrial applications.