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dc.contributor.authorBeck, Joakim
dc.contributor.authorSangalli, Giancarlo
dc.contributor.authorTamellini, Lorenzo
dc.date.accessioned2017-12-28T07:32:11Z
dc.date.available2017-12-28T07:32:11Z
dc.date.issued2017-07-30
dc.identifier.urihttp://hdl.handle.net/10754/626458
dc.description.abstractIsogeometric Analysis (IGA) typically adopts tensor-product splines and NURBS as a basis for the approximation of the solution of PDEs. In this work, we investigate to which extent IGA solvers can benefit from the so-called sparse-grids construction in its combination technique form, which was first introduced in the early 90s in the context of the approximation of high-dimensional PDEs. The tests that we report show that, in accordance to the literature, a sparse grids construction can indeed be useful if the solution of the PDE at hand is sufficiently smooth. Sparse grids can also be useful in the case of non-smooth solutions when some a-priori knowledge on the location of the singularities of the solution can be exploited to devise suitable non-equispaced meshes. Finally, we remark that sparse grids can be seen as a simple way to parallelize pre-existing serial IGA solvers in a straightforward fashion, which can be beneficial in many practical situations.
dc.publisherarXiv
dc.relation.urlhttp://arxiv.org/abs/1707.09598v4
dc.relation.urlhttp://arxiv.org/pdf/1707.09598v4
dc.rightsArchived with thanks to arXiv
dc.titleA sparse version of IGA solvers
dc.typePreprint
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
dc.eprint.versionPre-print
dc.contributor.institutionConsiglio Nazionale delle Ricerche - Istituto di Matematica Applicata e Tecnologie Informatiche
dc.contributor.institutionDipartimento di Matematica
dc.identifier.arxivid1707.09598
kaust.personBeck, Joakim
kaust.grant.number2281
kaust.grant.number2584
refterms.dateFOA2018-06-14T05:32:43Z


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