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- Burman, ErikUniversity College London, UK, Department of Mathematics (author)
Hybridized CutFEM for Elliptic Interface Problems
- Article/chapterEnglish2019
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- Society for Industrial and Applied Mathematics,2019
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- LIBRIS-ID:oai:DiVA.org:umu-164715
- https://urn.kb.se/resolve?urn=urn:nbn:se:umu:diva-164715URI
- https://doi.org/10.1137/18M1223836DOI
- https://urn.kb.se/resolve?urn=urn:nbn:se:hj:diva-46901URI
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- Language:English
- Summary in:English
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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.
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- Elfverson, DanielUmeå universitet,Institutionen för matematik och matematisk statistik,Umeå universitet, Institutionen för matematik och matematisk statistik(Swepub:umu)dael0025 (author)
- Hansbo, PeterJönköping University,JTH, Material och tillverkning(Swepub:hj)hanpet (author)
- Larson, Mats G.Umeå universitet,Institutionen för matematik och matematisk statistik,Umeå universitet, Institutionen för matematik och matematisk statistik(Swepub:umu)mala0002 (author)
- Larsson, Karl,1981-Umeå universitet,Institutionen för matematik och matematisk statistik,Umeå universitet, Institutionen för matematik och matematisk statistik(Swepub:umu)kallan02 (author)
- University College London, UK, Department of MathematicsInstitutionen för matematik och matematisk statistik (creator_code:org_t)
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- In:SIAM Journal on Scientific Computing: Society for Industrial and Applied Mathematics41:5, s. A3354-A33801064-82751095-7197
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