000095553 001__ 95553
000095553 005__ 20210902121733.0
000095553 0247_ $$2doi$$a10.1137/19M1261250
000095553 0248_ $$2sideral$$a119632
000095553 037__ $$aART-2020-119632
000095553 041__ $$aeng
000095553 100__ $$aAdler, J.H.
000095553 245__ $$aRobust preconditioners for a new stabilized discretization of the poroelastic equations
000095553 260__ $$c2020
000095553 5060_ $$aAccess copy available to the general public$$fUnrestricted
000095553 5203_ $$aIn 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.
000095553 536__ $$9info:eu-repo/grantAgreement/ES/DGA-FEDER/E24-17R$$9info:eu-repo/grantAgreement/ES/MCYT-FEDER/MTM2016-75139-R
000095553 540__ $$9info:eu-repo/semantics/openAccess$$aAll rights reserved$$uhttp://www.europeana.eu/rights/rr-f/
000095553 590__ $$a2.373$$b2020
000095553 591__ $$aMATHEMATICS, APPLIED$$b50 / 265 = 0.189$$c2020$$dQ1$$eT1
000095553 592__ $$a1.673$$b2020
000095553 593__ $$aComputational Mathematics$$c2020$$dQ1
000095553 593__ $$aApplied Mathematics$$c2020$$dQ1
000095553 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion
000095553 700__ $$0(orcid)0000-0002-9777-5245$$aGaspar, F.J.$$uUniversidad de Zaragoza
000095553 700__ $$aHu, X.
000095553 700__ $$aOhm, P.
000095553 700__ $$0(orcid)0000-0002-1598-2831$$aRodrigo, C.$$uUniversidad de Zaragoza
000095553 700__ $$aZikatanov, L.T.
000095553 7102_ $$12005$$2595$$aUniversidad de Zaragoza$$bDpto. Matemática Aplicada$$cÁrea Matemática Aplicada
000095553 773__ $$g42, 3 (2020), B761-B791$$pSIAM j. sci. comput.$$tSIAM JOURNAL ON SCIENTIFIC COMPUTING$$x1064-8275
000095553 8564_ $$s694075$$uhttps://zaguan.unizar.es/record/95553/files/texto_completo.pdf$$yVersión publicada
000095553 8564_ $$s362345$$uhttps://zaguan.unizar.es/record/95553/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada
000095553 909CO $$ooai:zaguan.unizar.es:95553$$particulos$$pdriver
000095553 951__ $$a2021-09-02-09:37:12
000095553 980__ $$aARTICLE