95553 20210902121733.0 doi 10.1137/19M1261250 sideral 119632 ART-2020-119632 eng Adler, J.H. Robust preconditioners for a new stabilized discretization of the poroelastic equations 2020 Access copy available to the general public Unrestricted In this paper, we present block preconditioners for a stabilized discretization of the poroelastic equations developed in [C. Rodrigo, X. Hu, P. Ohm, J. Adler, F. Gaspar, and L. Zikatanov, Comput. Methods Appl. Mech. Engrg., 341 (2018), pp. 467-484]. The discretization is proved to be well-posed with respect to the physical and discretization parameters and thus provides a framework to develop preconditioners that are robust with respect to such parameters as well. We construct both norm-equivalent (diagonal) and field-of-value-equivalent (triangular) preconditioners for both the stabilized discretization and a perturbation of the stabilized discretization, which leads to a smaller overall problem after static condensation. Numerical tests for both two-and three-dimensional problems confirm the robustness of the block preconditioners with respect to the physical and discretization parameters. info:eu-repo/grantAgreement/ES/DGA-FEDER/E24-17R info:eu-repo/grantAgreement/ES/MCYT-FEDER/MTM2016-75139-R info:eu-repo/semantics/openAccess All rights reserved http://www.europeana.eu/rights/rr-f/ 2.373 2020 MATHEMATICS, APPLIED 50 / 265 = 0.189 2020 Q1 T1 1.673 2020 Computational Mathematics 2020 Q1 Applied Mathematics 2020 Q1 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion (orcid)0000-0002-9777-5245 Gaspar, F.J. Universidad de Zaragoza Hu, X. Ohm, P. (orcid)0000-0002-1598-2831 Rodrigo, C. Universidad de Zaragoza Zikatanov, L.T. 2005 595 Universidad de Zaragoza Dpto. Matemática Aplicada Área Matemática Aplicada 42, 3 (2020), B761-B791 SIAM j. sci. comput. SIAM JOURNAL ON SCIENTIFIC COMPUTING 1064-8275 694075 http://zaguan.unizar.es/record/95553/files/texto_completo.pdf Versión publicada 362345 http://zaguan.unizar.es/record/95553/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:95553 articulos driver 2021-09-02-09:37:12 ARTICLE