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Graded Parametric CutFEM and CutIGA for Elliptic Boundary Value Problems in Domains with Corners
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- Jonsson, Tobias, 1991- (author)
- Umeå universitet,Institutionen för matematik och matematisk statistik
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- Larson, Mats G. (author)
- Umeå universitet,Institutionen för matematik och matematisk statistik
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- Larsson, Karl, 1981- (author)
- Umeå universitet,Institutionen för matematik och matematisk statistik
- (creator_code:org_t)
- Elsevier, 2019
- 2019
- English.
- In: Computer Methods in Applied Mechanics and Engineering. - : Elsevier. - 0045-7825 .- 1879-2138. ; 354, s. 331-350
- Journal article (peer-reviewed)
Abstract
Subject headings
Close
- We develop a parametric cut finite element method for elliptic boundary value problems with corner singularities where we have weighted control of higher order derivatives of the solution to a neighborhood of a point at the boundary. Our approach is based on identification of a suitable mapping that grades the mesh towards the singularity. In particular, this mapping may be chosen without identifying the opening angle at the corner. We employ cut finite elements together with Nitsche boundary conditions and stabilization in the vicinity of the boundary. We prove that the method is stable and convergent of optimal order in the energy norm and L2 norm. This is achieved by mapping to the reference domain where we employ a structured mesh.
Subject headings
- NATURVETENSKAP -- Matematik -- Beräkningsmatematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Computational Mathematics (hsv//eng)
Keyword
- Corner singularities
- a priori error estimates
- Cut finite element method
- Cut isogeometric analysis
Publication and Content Type
- ref (subject category)
- art (subject category)
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