Overlapped Bem-Fem and Some Schwarz Iterations
release_rev_15e5f29f-6b01-43d7-a1ed-00df16a16cfa
by
Ricardo Celorrio,
Victor Dominguez,
Francisco-Javier Sayas
Abstract
<jats:title>Abstract</jats:title>In this work we consider the numerical solution of the Laplace's equation
in a domain with holes by means of the overlapping of finite and boundary elements.
The essence of the method is the consideration of the finite element solution of the
Laplace's equation in the domain without holes and the exterior single{layer solution
on the unbounded domain around these holes. This solution can be viewed as a limit of
a discretized interior{exterior Schwarz-type iteration. A convergence analysis of both
the iteration and the discrete solution is carried out, taking full generality in the BEM
scheme. Some numerical experiments are also given.
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published
Year 2004
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