dc.contributor.author Vassoler Rutz, Grazielli dc.contributor.author Villela Pinto, Marcio Augusto dc.contributor.author Gonçalves, Simone de Fátima Tomazzoni dc.date.accessioned 2019-06-27T19:10:05Z dc.date.available 2019-06-27T19:10:05Z dc.date.issued 2019 dc.identifier.citation Vassoler 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.issn 0213-1315 dc.identifier.issn 1886-158X dc.identifier.uri http://hdl.handle.net/2117/165208 dc.description.abstract This 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.iso eng dc.publisher Universitat Politècnica de Catalunya. CIMNE dc.rights Attribution-NonCommercial-ShareAlike 3.0 Unported dc.rights.uri https://creativecommons.org/licenses/by-nc-sa/3.0/deed.es dc.subject Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica dc.subject.lcsh Numerical analysis dc.subject.other Physical orthotropy dc.subject.other Multigrid components dc.subject.other Diffusion dc.subject.other Local Fourier analysis dc.title On the robustness of the multigrid method combining ILU and Partial Weight applied in an orthotropic diffusion problem dc.type Article dc.subject.lemac Anàlisi numèrica dc.identifier.doi 10.23967/j.rimni.2019.03.001 dc.description.peerreviewed Peer Reviewed dc.rights.access Open Access local.citation.publicationName Revista internacional de métodos numéricos para cálculo y diseño en ingeniería local.citation.volume 35 local.citation.number 1
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