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A Crank-Nicolson type space-time finite element method for computing on moving meshes
Jönköping University, School of Engineering, JTH. Research area Product Development - Simulation and Optimization.
2000 (English)In: Journal of Computational Physics, ISSN 0021-9991, E-ISSN 1090-2716, Vol. 159, no 2, p. 274-289Article in journal (Refereed) Published
Abstract [en]

In this paper, a space-time finite element method for evolution problems that is second-order accurate in both space and time is proposed. For convection dominated problems, the elements may be aligned along the characteristics in space-time, which results in a Crank-Nicolson method along the characteristics. The method is also suitable as an alternative to other moving mesh methods for problems in deforming domains. Numerical examples dealing with diffusion and convection are given.

Place, publisher, year, edition, pages
2000. Vol. 159, no 2, p. 274-289
Keyword [en]
Crank-Nicolson, space-time finite element, method of characteristics
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:hj:diva-15855DOI: 10.1006/jcph.2000.6436ISI: 000086401000008OAI: oai:DiVA.org:hj-15855DiVA, id: diva2:440281
Available from: 2011-09-12 Created: 2011-08-16 Last updated: 2017-12-08Bibliographically approved

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Hansbo, Peter

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