On discontinuous Galerkin multiscale methods
2013 (English)Licentiate thesis, comprehensive summary (Other academic)
In this thesis a new multiscale method, the discontinuous Galerkin multiscale method, is proposed. The method uses localized fine scale computations to correct a global coarse scale equation and thereby takes the fine scale features into account. We show a priori error bounds for convection dominated diffusion-convection-reaction problems with variable coefficients. We also present a posteriori error bound in the case of no convection or reaction and present an adaptive algorithm which tunes the method parameters automatically. We also present extensive numerical experiments which verify our analytical findings.
Place, publisher, year, edition, pages
Uppsala universitet, 2013.
Information technology licentiate theses: Licentiate theses from the Department of Information Technology, ISSN 1404-5117 ; 2013-003
Research subject Scientific Computing with specialization in Numerical Analysis
IdentifiersURN: urn:nbn:se:uu:diva-200260OAI: oai:DiVA.org:uu-200260DiVA: diva2:622949
Målqvist, Axel, Docent
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