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dc.contributor.author
Morin, Pedro
dc.contributor.author
Nochetto, Ricardo Horacio
dc.contributor.author
Pauletti, Miguel Sebastian
dc.contributor.author
Verani, Marco
dc.date.available
2019-01-12T13:05:45Z
dc.date.issued
2012-10
dc.identifier.citation
Morin, Pedro; Nochetto, Ricardo Horacio; Pauletti, Miguel Sebastian; Verani, Marco; Adaptive finite element method for shape optimization; Cambridge University Press; Esaim. Cocv; 18; 4; 10-2012; 1122-1149
dc.identifier.issn
1292-8119
dc.identifier.uri
http://hdl.handle.net/11336/67965
dc.description.abstract
We examine shape optimization problems in the context of inexact sequential quadratic programming. Inexactness is a consequence of using adaptive finite element methods (AFEM) to approximate the state and adjoint equations (via the dual weighted residual method), update the boundary, and compute the geometric functional. We present a novel algorithm that equidistributes the errors due to shape optimization and discretization, thereby leading to coarse resolution in the early stages and fine resolution upon convergence, and thus optimizing the computational effort. We discuss the ability of the algorithm to detect whether or not geometric singularities such as corners are genuine to the problem or simply due to lack of resolution - a new paradigm in adaptivity.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Cambridge University Press
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
Adaptivity
dc.subject
Mesh Refinement/Coarsening
dc.subject
Shape Optimization
dc.subject
Smoothing
dc.subject.classification
Matemática Pura
dc.subject.classification
Matemáticas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
Adaptive finite element method for shape optimization
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2019-01-11T18:44:28Z
dc.journal.volume
18
dc.journal.number
4
dc.journal.pagination
1122-1149
dc.journal.pais
Reino Unido
dc.journal.ciudad
Cambridge
dc.description.fil
Fil: Morin, Pedro. Universidad Nacional del Litoral; Argentina
dc.description.fil
Fil: Nochetto, Ricardo Horacio. University of Maryland; Estados Unidos
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: Verani, Marco. Politecnico di Milano; Italia
dc.journal.title
Esaim. Cocv
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1051/cocv/2011192


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