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dc.contributor.authorVassoler Rutz, Grazielli
dc.contributor.authorVillela Pinto, Marcio Augusto
dc.contributor.authorGonçalves, Simone de Fátima Tomazzoni
dc.date.accessioned2019-06-27T19:10:05Z
dc.date.available2019-06-27T19:10:05Z
dc.date.issued2019
dc.identifier.citationVassoler Rutz, G.; Villela Pinto, M. A.; Gonçalves, S. D. F. T. On the robustness of the multigrid method combining ILU and Partial Weight applied in an orthotropic diffusion problem. "Revista internacional de métodos numéricos para cálculo y diseño en ingeniería", 2019, vol. 35, núm. 1.
dc.identifier.issn0213-1315
dc.identifier.issn1886-158X
dc.identifier.urihttp://hdl.handle.net/2117/165208
dc.description.abstractThis paper proposes an efficient and robust algorithm for solving a physical orthotropy problem. The algorithm is based on choosing the most efficient restriction operator and on an incomplete LU decomposition suited for each orthotropy direction. Local Fourier Analysis (LFA) is carried out in order to increase the efficiency of the multigrid method. Pure diffusion with orthotropy aligned to the coordinate axis x is the model considered. Equations are discretized by Finite Difference Method with uniform grid and second-order numerical scheme. Problems are solved with geometric multigrid method, correction scheme, V-cycle and standard coarsening ratio. The asymptotic convergence factor is calculated for different multigrid components, such as restriction operators, prolongation operators and solvers. Based on the optimum components obtained by LFA, we carried out experiments to analyze the complexity and computational cost of the algorithm proposed. The main conclusion is that the methodology proposed is efficient for the resolution of problems with strong orthotropy.
dc.language.isoeng
dc.publisherUniversitat Politècnica de Catalunya. CIMNE
dc.rightsAttribution-NonCommercial-ShareAlike 3.0 Unported
dc.rights.urihttps://creativecommons.org/licenses/by-nc-sa/3.0/deed.es
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica
dc.subject.lcshNumerical analysis
dc.subject.otherPhysical orthotropy
dc.subject.otherMultigrid components
dc.subject.otherDiffusion
dc.subject.otherLocal Fourier analysis
dc.titleOn the robustness of the multigrid method combining ILU and Partial Weight applied in an orthotropic diffusion problem
dc.typeArticle
dc.subject.lemacAnàlisi numèrica
dc.identifier.doi10.23967/j.rimni.2019.03.001
dc.description.peerreviewedPeer Reviewed
dc.rights.accessOpen Access
local.citation.publicationNameRevista internacional de métodos numéricos para cálculo y diseño en ingeniería
local.citation.volume35
local.citation.number1


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