86502 20200108111223.0 doi 10.1007/978-3-319-93873-8_1 sideral 110330 ART-2018-110330 eng Adler, J.H. Robust block preconditioners for biot’s model 2018 Access copy available to the general public Unrestricted In 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. info:eu-repo/semantics/openAccess All rights reserved http://www.europeana.eu/rights/rr-f/ 0.4 2018 Computational Mathematics 2018 Q1 Control and Optimization 2018 Q1 Modeling and Simulation 2018 Q1 Engineering (miscellaneous) 2018 Q1 Discrete Mathematics and Combinatorics 2018 Q1 info:eu-repo/semantics/conferenceObject info:eu-repo/semantics/acceptedVersion (orcid)0000-0002-9777-5245 Gaspar, F.J. Universidad de Zaragoza Hu, X. (orcid)0000-0002-1598-2831 Rodrigo, C. Universidad de Zaragoza Zikatanov, L.T. 2005 595 Universidad de Zaragoza Dpto. Matemática Aplicada Área Matemática Aplicada 125 (2018), 3-16 Lect. notes comput. sci. eng. Lecture Notes in Computational Science and Engineering 1439-7358 296988 http://zaguan.unizar.es/record/86502/files/texto_completo.pdf Postprint 11260 http://zaguan.unizar.es/record/86502/files/texto_completo.jpg?subformat=icon icon Postprint oai:zaguan.unizar.es:86502 articulos driver 2020-01-08-10:08:21 ARTICLE