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Erschienen in:
2005 | OriginalPaper | Buchkapitel
The Fat Boundary Method: Semi-Discrete Scheme and Some Numerical Experiments
verfasst von : Silvia Bertoluzza, Mourad Ismail, Bertrand Maury
Erschienen in: Domain Decomposition Methods in Science and Engineering
Verlag: Springer Berlin Heidelberg
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The
Fat Boundary Method
(
FBM
) is a fictitious domain like method for solving partial differential equations in a domain with holes
Ω ∖
$$\bar B$$
— where
B
is a collection of smooth open subsets — that consists in splitting the initial problem into two parts to be coupled via Schwartz type iterations: the solution, with a fictitious domain approach, of a problem set in the whole domain
Ω
, for which fast solvers can be used, and the solution of a collection of independent problems defined on narrow strips around the connected components of
B
, that can be performed fully in parallel. In this work, we give some results on a semi-discrete
FBM
in the framework of a finite element discretization, and we present some numerical experiments.