000086502 001__ 86502 000086502 005__ 20200108111223.0 000086502 0247_ $$2doi$$a10.1007/978-3-319-93873-8_1 000086502 0248_ $$2sideral$$a110330 000086502 037__ $$aART-2018-110330 000086502 041__ $$aeng 000086502 100__ $$aAdler, J.H. 000086502 245__ $$aRobust block preconditioners for biot’s model 000086502 260__ $$c2018 000086502 5060_ $$aAccess copy available to the general public$$fUnrestricted 000086502 5203_ $$aIn this paper, we design robust and efficient block preconditioners for the two-field formulation of Biot’s consolidation model, where stabilized finite-element discretizations are used. The proposed block preconditioners are based on the well-posedness of the discrete linear systems. Block diagonal (norm-equivalent) and block triangular preconditioners are developed, and we prove that these methods are robust with respect to both physical and discretization parameters. Numerical results are presented to support the theoretical results. 000086502 540__ $$9info:eu-repo/semantics/openAccess$$aAll rights reserved$$uhttp://www.europeana.eu/rights/rr-f/ 000086502 592__ $$a0.4$$b2018 000086502 593__ $$aComputational Mathematics$$c2018$$dQ1 000086502 593__ $$aControl and Optimization$$c2018$$dQ1 000086502 593__ $$aModeling and Simulation$$c2018$$dQ1 000086502 593__ $$aEngineering (miscellaneous)$$c2018$$dQ1 000086502 593__ $$aDiscrete Mathematics and Combinatorics$$c2018$$dQ1 000086502 655_4 $$ainfo:eu-repo/semantics/conferenceObject$$vinfo:eu-repo/semantics/acceptedVersion 000086502 700__ $$0(orcid)0000-0002-9777-5245$$aGaspar, F.J.$$uUniversidad de Zaragoza 000086502 700__ $$aHu, X. 000086502 700__ $$0(orcid)0000-0002-1598-2831$$aRodrigo, C.$$uUniversidad de Zaragoza 000086502 700__ $$aZikatanov, L.T. 000086502 7102_ $$12005$$2595$$aUniversidad de Zaragoza$$bDpto. Matemática Aplicada$$cÁrea Matemática Aplicada 000086502 773__ $$g125 (2018), 3-16$$pLect. notes comput. sci. eng.$$tLecture Notes in Computational Science and Engineering$$x1439-7358 000086502 8564_ $$s296988$$uhttps://zaguan.unizar.es/record/86502/files/texto_completo.pdf$$yPostprint 000086502 8564_ $$s11260$$uhttps://zaguan.unizar.es/record/86502/files/texto_completo.jpg?subformat=icon$$xicon$$yPostprint 000086502 909CO $$ooai:zaguan.unizar.es:86502$$particulos$$pdriver 000086502 951__ $$a2020-01-08-10:08:21 000086502 980__ $$aARTICLE