Coupling of boundary integral and finite element methods for a class of singular perturbation problems
Thesis/Dissertation
·
OSTI ID:6897568
The author considers an approximate scheme for treating a class of two dimensional, singularly perturbed, exterior boundary value problems. The scheme is a combination of boundary element and finite element methods. By introducing a factitious boundary the region is divided into two regions, an inner and outer region. In the inner region, the finite element method is employed for solving the field equations under consideration with proper natural boundary conditions. These natural boundary conditions are obtained by solving the corresponding boundary integral equations. In the outer regions, solutions are expressed in terms of simple layer potentials which are matched to the finite element solution on the factitious boundary. Error estimates and numerical experiments are included.
- Research Organization:
- Delaware Univ., Newark (USA)
- OSTI ID:
- 6897568
- Country of Publication:
- United States
- Language:
- English
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