doi:10.1137/19M1261250engAdler, J.H.Gaspar, F.J.Hu, X.Ohm, P.Rodrigo, C.Zikatanov, L.T.Robust preconditioners for a new stabilized discretization of the poroelastic equationsART-2020-119632In 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.2020http://zaguan.unizar.es/record/9555310.1137/19M1261250http://zaguan.unizar.es/record/95553oai:zaguan.unizar.es:95553info:eu-repo/grantAgreement/ES/DGA-FEDER/E24-17Rinfo:eu-repo/grantAgreement/ES/MCYT-FEDER/MTM2016-75139-RSIAM JOURNAL ON SCIENTIFIC COMPUTING 42, 3 (2020), B761-B791All rights reservedhttp://www.europeana.eu/rights/rr-f/info:eu-repo/semantics/openAccess