Adaptive finite element-boundary solution of boundary value problems
Journal of Computational and Applied Mathematics
Boundary element methods for potential problems with nonlinear boundary conditions
Mathematics of Computation
Finite Element Method for Elliptic Problems
Finite Element Method for Elliptic Problems
Adaptive Boundary Element Methods Based on Computational Schemes for Sobolev Norms
SIAM Journal on Scientific Computing
Fast Evaluation of Volume Potentials in Boundary Element Methods
SIAM Journal on Scientific Computing
The optimal refinement strategy for 3-D simplicial meshes
Computers & Mathematics with Applications
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For the solution of inhomogeneous boundary value problems in complex three-dimensional domains we propose a successively coupled finite-boundary element method. By using a finite element method in a simpler auxiliary domain we first compute a particular solution of the inhomogeneous partial differential equation. This solution is used in a second step to approximate the Newton potential in the boundary integral formulation which is related to the original boundary value problem. A rigorous error analysis and a numerical example are given.