Journal
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
Volume 199, Issue 41-44, Pages 2680-2686Publisher
ELSEVIER SCIENCE SA
DOI: 10.1016/j.cma.2010.05.011
Keywords
Interior penalty; Fictitious domain; Finite element
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We propose a fictitious domain method where the mesh is cut by the boundary. The primal solution is computed only up to the boundary; the solution itself is defined also by nodes outside the domain, but the weak finite element form only involves those parts of the elements that are located inside the domain. The multipliers are defined as being element-wise constant on the whole (including the extension) of the cut elements in the mesh defining the primal variable. Inf-sup stability is obtained by penalizing the jump of the multiplier over element faces. We consider the case of a polygonal domain with possibly curved boundaries. The method has optimal convergence properties. (C) 2010 Elsevier B.V. All rights reserved.
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