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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| Vydané v: | Finite elements in analysis and design Ročník 100; s. 77 - 90 |
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| Hlavní autori: | , , |
| Médium: | Journal Article |
| Jazyk: | English |
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Elsevier B.V
01.08.2015
Elsevier |
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| ISSN: | 0168-874X, 1872-6925 |
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| Abstract | 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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| AbstractList | 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. 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. |
| Author | Chemin, Alexandre Elguedj, Thomas Gravouil, Anthony |
| Author_xml | – sequence: 1 givenname: Alexandre surname: Chemin fullname: Chemin, Alexandre email: alexandre.chemin@insa-lyon.fr organization: Université de Lyon, INSA-Lyon, LaMCoS, CNRS UMR 5259, F-69621 Villeurbanne, France – sequence: 2 givenname: Thomas surname: Elguedj fullname: Elguedj, Thomas email: thomas.elguedj@insa-lyon.fr organization: Université de Lyon, INSA-Lyon, LaMCoS, CNRS UMR 5259, F-69621 Villeurbanne, France – sequence: 3 givenname: Anthony surname: Gravouil fullname: Gravouil, Anthony email: anthony.gravouil@insa-lyon.fr organization: Université de Lyon, INSA-Lyon, LaMCoS, CNRS UMR 5259, F-69621 Villeurbanne, France |
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| Keywords | Isogeometric analysis Local h-refinement Controlled accuracy Full-multigrid method |
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| SubjectTerms | 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 |
| Title | Isogeometric local h-refinement strategy based on multigrids |
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