The Fat Boundary Method (FBM) is a fictitious domain like method for solving partial differential equations in a domain with holes Ω\B̄ - 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.
CITATION STYLE
Bertoluzza, S., Ismail, M., & Maury, B. (2005). The Fat Boundary Method: Semi-discrete scheme and some numerical experiments. Lecture Notes in Computational Science and Engineering, 40, 513–520. https://doi.org/10.1007/3-540-26825-1_53
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