Poroelasticity problem: numerical difficulties and efficient multigrid solution
Resumen: 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.
Idioma: Inglés
DOI: 10.1007/s40324-015-0054-9
Año: 2016
Publicado en: Boletín de la Sociedad Española de Matemática Aplicada SeMA 73, 1 (2016), 31-57
ISSN: 1575-9822

Tipo y forma: Article (Published version)
Área (Departamento): Matemática Aplicada (Departamento de Matemática Aplicada)

Creative Commons You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.

Exportado de SIDERAL (2018-01-31-11:29:38)

Este artículo se encuentra en las siguientes colecciones:
Articles > Artículos por área > Matemática Aplicada

 Record created 2018-01-31, last modified 2018-02-01

Versión publicada:
Rate this document:

Rate this document:
(Not yet reviewed)