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A stabilized finite element method for the Darcy problem on surfaces
Umeå University, Faculty of Science and Technology, Department of Mathematics and Mathematical Statistics.
2017 (English)In: IMA Journal of Numerical Analysis, ISSN 0272-4979, E-ISSN 1464-3642, Vol. 37, no 3, p. 1274-1299Article in journal (Refereed) Published
Abstract [en]

We consider a stabilized finite element method for the Darcy problem on a surface based on the Masud-Hughes formulation. A special feature of the method is that the tangential condition of the velocity field is weakly enforced through the bilinear form, and that standard parametric continuous polynomial spaces on triangulations can be used. We prove optimal order a priori estimates that take the approximation of the geometry and the solution into account.

Place, publisher, year, edition, pages
Oxford University Press, 2017. Vol. 37, no 3, p. 1274-1299
Keywords [en]
Darcy problem, tangential differential calculus, surface differential equation, stabilized finite element method
National Category
Computational Mathematics
Identifiers
URN: urn:nbn:se:umu:diva-137961DOI: 10.1093/imanum/drw041ISI: 000405416900008OAI: oai:DiVA.org:umu-137961DiVA, id: diva2:1129330
Available from: 2017-08-02 Created: 2017-08-02 Last updated: 2018-06-09Bibliographically approved

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Larson, Mats G.

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