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- Burman, Erik N.UCL, Department of Mathematics, London, United Kingdom,Department of Mathematics, University College London, London, United Kingdom (author)
A cut finite element method with boundary value correction for the incompressible Stokes equations
- Article/chapterEnglish2019
Publisher, publication year, extent ...
- 2019-01-05
- Cham :Springer,2019
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- LIBRIS-ID:oai:DiVA.org:hj-42799
- https://urn.kb.se/resolve?urn=urn:nbn:se:hj:diva-42799URI
- https://doi.org/10.1007/978-3-319-96415-7_15DOI
- https://urn.kb.se/resolve?urn=urn:nbn:se:umu:diva-203384URI
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- Language:English
- Summary in:English
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Notes
- We design a cut finite element method for the incompressible Stokes equations on domains with curved boundary. The cut finite element method allows for the domain boundary to cut through the elements of the computational mesh in a very general fashion. To further facilitate the implementation we propose to use a piecewise affine discrete domain even if the physical domain has curved boundary. Dirichlet boundary conditions are imposed using Nitsche’s method on the discrete boundary and the effect of the curved physical boundary is accounted for using the boundary value correction technique introduced for cut finite element methods in Burman et al. (Math Comput 87(310):633–657, 2018).
Subject headings and genre
- NATURVETENSKAP Matematik Beräkningsmatematik hsv//swe
- NATURAL SCIENCES Mathematics Computational Mathematics hsv//eng
- Boundary conditions
- Navier Stokes equations
- Computational mesh
- Correction techniques
- Curved boundary
- Dirichlet boundary condition
- Discrete boundaries
- Discrete domains
- Incompressible Stokes equation
- Piecewise affines
- Finite element method
Added entries (persons, corporate bodies, meetings, titles ...)
- Hansbo, PeterJönköping University,JTH, Material och tillverkning,Department of Mechanical Engineering, Jönköping University, Jönköping, Sweden(Swepub:hj)hanpet (author)
- Larson, Mats G.Umeå universitet,Institutionen för matematik och matematisk statistik,Umeå Universitet, Department of Mathematics and Mathematical Statistics, Umeå, Sweden(Swepub:umu)mala0002 (author)
- UCL, Department of Mathematics, London, United KingdomDepartment of Mathematics, University College London, London, United Kingdom (creator_code:org_t)
Related titles
- In:Numerical mathematics and advanced applications ENUMATH 2017Cham : Springer, s. 183-19297833199641409783319964157
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