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Tangential differential calculus and the finite element modeling of a large deformation elastic membrane problem
Umeå University, Faculty of Science and Technology, Department of Mathematics and Mathematical Statistics.
2015 (English)In: Computational Mechanics, ISSN 0178-7675, E-ISSN 1432-0924, Vol. 56, no 1, 87-95 p.Article in journal (Refereed) Published
Abstract [en]

We develop a finite element method for a large deformation membrane elasticity problem on meshed curved surfaces using a tangential differential calculus approach that avoids the use of classical differential geometric methods. The method is also applied to form finding problems.

Place, publisher, year, edition, pages
2015. Vol. 56, no 1, 87-95 p.
Keyword [en]
Curved membrane, Tangential derivative, Finite element method, Form finding
National Category
Computational Mathematics
URN: urn:nbn:se:umu:diva-106314DOI: 10.1007/s00466-015-1158-xISI: 000356731700006OAI: diva2:841116
Swedish Research Council, 2011-4992Swedish Research Council, 2013-4708
Available from: 2015-07-10 Created: 2015-07-10 Last updated: 2015-07-10Bibliographically approved

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Larson, Mats G.
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Department of Mathematics and Mathematical Statistics
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