000064523 001__ 64523
000064523 005__ 20180201112644.0
000064523 0247_ $$2doi$$a10.1007/s40324-015-0054-9
000064523 0248_ $$2sideral$$a104081
000064523 037__ $$aART-2016-104081
000064523 041__ $$aeng
000064523 100__ $$0(orcid)0000-0002-1598-2831$$aRodrigo Cardiel, Carmen$$uUniversidad de Zaragoza
000064523 245__ $$aPoroelasticity problem: numerical difficulties and efficient multigrid solution
000064523 260__ $$c2016
000064523 5060_ $$aAccess copy available to the general public$$fUnrestricted
000064523 5203_ $$aThis 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.
000064523 540__ $$9info:eu-repo/semantics/openAccess$$aby$$uhttp://creativecommons.org/licenses/by/3.0/es/
000064523 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion
000064523 7102_ $$12005$$2595$$aUniversidad de Zaragoza$$bDepartamento de Matemática Aplicada$$cMatemática Aplicada
000064523 773__ $$g73, 1 (2016), 31-57$$pBol. Soc. Esp. Mat. Apl. SeMA$$tBoletín de la Sociedad Española de Matemática Aplicada SeMA$$x1575-9822
000064523 8564_ $$s1612288$$uhttps://zaguan.unizar.es/record/64523/files/texto_completo.pdf$$yVersión publicada
000064523 8564_ $$s6492$$uhttps://zaguan.unizar.es/record/64523/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada
000064523 909CO $$ooai:zaguan.unizar.es:64523$$particulos$$pdriver
000064523 951__ $$a2018-01-31-11:29:38
000064523 980__ $$aARTICLE