Isogeometric local h-refinement strategy based on multigrids

This paper presents an isogeometric local h-refinement algorithm based on localized multigrid resolution dedicated to computational mechanics. This algorithm leads to a solution on a quasi-optimal refined mesh initially unknown for a given precision criterion. Moreover, it allows us to circumvent th...

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Veröffentlicht in:Finite elements in analysis and design Jg. 100; S. 77 - 90
Hauptverfasser: Chemin, Alexandre, Elguedj, Thomas, Gravouil, Anthony
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Elsevier B.V 01.08.2015
Elsevier
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ISSN:0168-874X, 1872-6925
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Zusammenfassung:This paper presents an isogeometric local h-refinement algorithm based on localized multigrid resolution dedicated to computational mechanics. This algorithm leads to a solution on a quasi-optimal refined mesh initially unknown for a given precision criterion. Moreover, it allows us to circumvent the obstacle of refinement of non-straight geometric boundaries existing in full multigrid algorithms with isoparametric finite element analysis. •An isogeometric local h-refinement based on multigrid resolution is proposed.•It leads to a solution on a quasi-optimal mesh for a given precision criterion.•It solves the problem of non-straight boundaries in multigrid resolution with FEA.
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ISSN:0168-874X
1872-6925
DOI:10.1016/j.finel.2015.02.007