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dc.contributor.author
Bänsch, Eberhard
dc.contributor.author
Morin, Pedro
dc.contributor.author
Nochetto, Ricardo Horacio
dc.date.available
2019-04-26T23:37:01Z
dc.date.issued
2010-09
dc.identifier.citation
Bänsch, Eberhard; Morin, Pedro; Nochetto, Ricardo Horacio; Preconditioning a class of fourth order problems by operator splitting; Springer; Numerische Mathematik; 118; 2; 9-2010; 197-228
dc.identifier.issn
0029-599X
dc.identifier.uri
http://hdl.handle.net/11336/75186
dc.description.abstract
We develop preconditioners for systems arising from finite element discretizations of parabolic problems which are fourth order in space. We consider boundary conditions which yield a natural splitting of the discretized fourth order operator into two (discrete) linear second order elliptic operators, and exploit this property in designing the preconditioners. The underlying idea is that efficient methods and software to solve second order problems with optimal computational effort are widely available. We propose symmetric and non-symmetric preconditioners, along with theory and numerical experiments. They both document crucial properties of the preconditioners as well as their practical performance. It is important to note that we neither need Hs-regularity, s > 1, of the continuous problem nor quasi-uniform grids.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Springer
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
Parabolic Problems
dc.subject
Fourth Order Problems
dc.subject
Preconditioning
dc.subject
Finite Elements
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Operator Splitting
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Condition Number
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Iterative Methods
dc.subject.classification
Matemática Pura
dc.subject.classification
Matemáticas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
Preconditioning a class of fourth order problems by operator splitting
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2019-04-26T15:36:55Z
dc.journal.volume
118
dc.journal.number
2
dc.journal.pagination
197-228
dc.journal.pais
Alemania
dc.description.fil
Fil: Bänsch, Eberhard. Universitat Erlangen-Nuremberg; Alemania
dc.description.fil
Fil: Morin, Pedro. 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: Nochetto, Ricardo Horacio. University of Maryland; Estados Unidos
dc.journal.title
Numerische Mathematik
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/http://www.springerlink.com/content/k8840r3871272831/
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1007/s00211-010-0333-4
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