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A stabilized finite element method for the Darcy problem on surfaces
Jönköping University, School of Engineering, JTH, Product Development. Jönköping University, School of Engineering, JTH. Research area Product Development - Simulation and Optimization.ORCID iD: 0000-0001-7352-1550
Department of Mathematics and Mathematical Statistics, Umeå University, Umeå, Sweden.
2017 (English)In: IMA Journal of Numerical Analysis, ISSN 0272-4979, E-ISSN 1464-3642, Vol. 37, no 3, 1274-1299 p.Article 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, 1274-1299 p.
Keyword [en]
Darcy problem, tangential differential calculus, surface differential equation, stabilized finite element method
National Category
Computational Mathematics Mathematical Analysis
Identifiers
URN: urn:nbn:se:hj:diva-36717DOI: 10.1093/imanum/drw041ISI: 000405416900008Scopus ID: 2-s2.0-85021838465OAI: oai:DiVA.org:hj-36717DiVA: diva2:1123291
Available from: 2017-07-13 Created: 2017-07-13 Last updated: 2017-09-13Bibliographically approved

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Hansbo, Peter

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