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Hybridized CutFEM for Elliptic Interface Problems
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- Burman, Erik (author)
- University College London, UK, Department of Mathematics
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- Elfverson, Daniel (author)
- Umeå universitet,Institutionen för matematik och matematisk statistik,Umeå universitet, Institutionen för matematik och matematisk statistik
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- Hansbo, Peter (author)
- Jönköping University,JTH, Material och tillverkning
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- Society for Industrial and Applied Mathematics, 2019
- 2019
- English.
- In: SIAM Journal on Scientific Computing. - : Society for Industrial and Applied Mathematics. - 1064-8275 .- 1095-7197. ; 41:5, s. A3354-A3380
- Journal article (peer-reviewed)
Abstract
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- We design and analyze a hybridized cut finite element method for elliptic interface problems. In this method very general meshes can be coupled over internal unfitted interfaces, through a skeletal variable, using a Nitsche type approach. We discuss how optimal error estimates for the method are obtained using the tools of cut finite element methods and prove a condition number estimate for the Schur complement. Finally, we present illustrating numerical examples.
Subject headings
- NATURVETENSKAP -- Matematik -- Beräkningsmatematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Computational Mathematics (hsv//eng)
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- art (subject category)
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