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A cut finite element method for a Stokes interface problem
Uppsala Univ, Dept Informat Technol, SE-75105 Uppsala, Sweden.ORCID iD: 0000-0002-4911-467X
2014 (English)In: Applied Numerical Mathematics, ISSN 0168-9274, E-ISSN 1873-5460, Vol. 85, no 0, 90-114 p.Article in journal (Refereed) Published
Abstract [en]

We present a finite element method for the Stokes equations involving two immiscible incompressible fluids with different viscosities and with surface tension. The interface separating the two fluids does not need to align with the mesh. We propose a Nitsche formulation which allows for discontinuities along the interface with optimal a priori error estimates. A stabilization procedure is included which ensures that the method produces a well conditioned stiffness matrix independent of the location of the interface.

Place, publisher, year, edition, pages
2014. Vol. 85, no 0, 90-114 p.
National Category
Computational Mathematics
Research subject
Applied and Computational Mathematics
URN: urn:nbn:se:kth:diva-166734DOI: 10.1016/j.apnum.2014.06.009ISI: 000341465200006ScopusID: 2-s2.0-84904658094OAI: diva2:812028

QC 20150615

Available from: 2015-05-14 Created: 2015-05-14 Last updated: 2015-06-15Bibliographically approved

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Zahedi, Sara
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