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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Bibliographic Details
Published in:Finite elements in analysis and design Vol. 100; pp. 77 - 90
Main Authors: Chemin, Alexandre, Elguedj, Thomas, Gravouil, Anthony
Format: Journal Article
Language:English
Published: Elsevier B.V 01.08.2015
Elsevier
Subjects:
Algorithms
Boundaries
Controlled accuracy
Criteria
Design engineering
Engineering Sciences
Finite element method
Full-multigrid method
Isogeometric analysis
Isoparametric finite elements
Local h-refinement
Mathematical analysis
Strategy
Isogeometric analysis
Local h-refinement
Controlled accuracy
Full-multigrid method
ISSN:0168-874X, 1872-6925
Online Access:Get full text
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Summary: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