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Fictitious domain finite element methods using cut elements: I. A stabilized Lagrange multiplier method
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posted on 2023-06-08, 05:49 authored by Erik Burman, Peter HansboWe 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
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Publication status
- Published
Journal
Computer Methods in Applied Mechanics and EngineeringISSN
0045-7825Publisher
ElsevierExternal DOI
Issue
41Volume
199Page range
2680-2686Pages
6.0Department affiliated with
- Mathematics Publications
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- No
Peer reviewed?
- Yes
Legacy Posted Date
2012-02-06Usage metrics
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