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dc.contributor.author
Pauletti, Miguel Sebastian
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Martinelli, Massimiliano
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Cavallini, Nicola
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Antolin, Pablo
dc.date.available
2017-12-29T18:48:30Z
dc.date.issued
2015-06
dc.identifier.citation
Antolin, Pablo; Cavallini, Nicola; Martinelli, Massimiliano; Pauletti, Miguel Sebastian; Igatools: An isogeometric analysis library; Society for Industrial and Applied Mathematics; SIAM Journal on Scientific Computing; 37; 4; 6-2015; 465-496
dc.identifier.issn
1064-8275
dc.identifier.uri
http://hdl.handle.net/11336/31930
dc.description.abstract
We present the design of an object oriented general purpose library for isogeometric analysis, where the mathematical concepts of the isogeometric method and their relationships are directly mapped into classes and their interactions. The encapsulation of mathematical concepts into interacting building blocks gives flexibility to use the library in a wide range of scientific areas and applications. We provide a precise framework for a lot of loose, available information regarding the implementation of the isogeometric method, and also discuss the similarities and differences between this and the finite element method. We also describe how to implement this proposed design in a C++11 open source library, \textttigatools (http://www.igatools.org). The library uses advanced object oriented and generic programming techniques to ensure reusability, reliability, and maintainability of the source code. It includes isogeometric elements of the h-div and h-curl type, and supports the development of dimension independent code (including manifolds and tensor-valued spaces). We finally present a number of code examples to illustrate the flexibility and power of the library, including surface domains, nonlinear elasticity, and Navier--Stokes computations on nontrivial geometries.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Society for Industrial and Applied Mathematics
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
Isogeometric Analysis
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Software Library
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Open Source
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B-Splines
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Nurbs
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Cad Integration
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Matemática Pura
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Matemáticas
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CIENCIAS NATURALES Y EXACTAS
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Ciencias de la Computación
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Ciencias de la Computación e Información
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CIENCIAS NATURALES Y EXACTAS
dc.title
Igatools: An isogeometric analysis library
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2017-12-12T18:15:20Z
dc.identifier.eissn
1095-7197
dc.journal.volume
37
dc.journal.number
4
dc.journal.pagination
465-496
dc.journal.pais
Estados Unidos
dc.journal.ciudad
Filadelfia
dc.description.fil
Fil: Pauletti, Miguel Sebastian. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Matemática Aplicada del Litoral. Universidad Nacional del Litoral. Instituto de Matemática Aplicada del Litoral; Argentina
dc.description.fil
Fil: Martinelli, Massimiliano. Consiglio Nazionale delle Ricerche. Istituto di Matematica Applicata e Tecnologie Informatiche; Italia
dc.description.fil
Fil: Cavallini, Nicola. Scuola Internazionale Superiore di Studi Avanzati; Italia
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Fil: Antolin, Pablo. Università degli Studi di Pavia. Dipartimento di Ingegneria Civile ed Architettura; Italia
dc.journal.title
SIAM Journal on Scientific Computing
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1137/140955252
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/http://epubs.siam.org/doi/abs/10.1137/140955252
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