64523 20250123145734.0 doi 10.1007/s40324-015-0054-9 sideral 104081 ART-2016-104081 eng Rodrigo Cardiel, Carmen Universidad de Zaragoza (orcid)0000-0002-1598-2831 Poroelasticity problem: numerical difficulties and efficient multigrid solution 2016 Access copy available to the general public Unrestricted This work contains some of the more relevant results obtained by the author regarding the numerical solution of the Biot’s consolidation problem. The emphasis here is on the stable discretization and the highly efficient solution of the resulting algebraic system of equations, which is of saddle point type. On the one hand, a stabilized linear finite element scheme providing oscillation-free solutions for this model is proposed and theoretically analyzed. On the other hand, a monolithic multigrid method is considered for the solution of the resulting system of equations after discretization by using the stabilized scheme. Since this system is of saddle point type, special smoothers of “Vanka”-type have to be considered. This multigrid method is designed with the help of an special local Fourier analysis that takes into account the specific characteristics of the considered block-relaxations. Results from this analysis are presented and compared with those experimentally computed. info:eu-repo/semantics/openAccess by http://creativecommons.org/licenses/by/3.0/es/ info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion 2005 595 Universidad de Zaragoza Dpto. Matemática Aplicada Área Matemática Aplicada 73, 1 (2016), 31-57 SEMA j. SEMA Journal 2254-3902 1612288 http://zaguan.unizar.es/record/64523/files/texto_completo.pdf Versión publicada 6492 http://zaguan.unizar.es/record/64523/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:64523 articulos driver 2025-01-23-14:55:09 ARTICLE