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Energy norm a posteriori error estimates for discontinuous Galerkin approximations of the linear elasticity problem
Department of Mathematical Sciences, Chalmers University of Technology and University of Gothenburg, Sweden.
Umeå University, Faculty of Science and Technology, Department of Mathematics and Mathematical Statistics. (UMIT)
2011 (English)In: Computer Methods in Applied Mechanics and Engineering, ISSN 0045-7825, E-ISSN 1879-2138, Vol. 200, no 45-46, 3026-3030 p.Article in journal (Refereed) Published
Abstract [en]

We present a residual-based a posteriori error estimate in an energy norm of the error in a family of discontinuous Galerkin approximations of linear elasticity problems. The theory is developed in two and three spatial dimensions and general nonconvex polygonal domains are allowed. We also present some illustrating numerical examples.

Place, publisher, year, edition, pages
Amsterdam: North-Holland , 2011. Vol. 200, no 45-46, 3026-3030 p.
Keyword [en]
Discontinuous Galerkin, Adaptivity, A posteriori error estimate, Elasticity
National Category
Mathematics
Identifiers
URN: urn:nbn:se:umu:diva-49277DOI: 10.1016/j.cma.2011.06.008ISI: 000295753800008OAI: oai:DiVA.org:umu-49277DiVA: diva2:455170
Available from: 2011-11-09 Created: 2011-11-04 Last updated: 2017-12-08Bibliographically approved

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Larson, Mats G.

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