000074856 001__ 74856
000074856 005__ 20190709135622.0
000074856 0247_ $$2doi$$a10.1016/j.cma.2017.08.025
000074856 0248_ $$2sideral$$a101585
000074856 037__ $$aART-2017-101585
000074856 041__ $$aeng
000074856 100__ $$0(orcid)0000-0002-9777-5245$$aGaspar, Francisco J.$$uUniversidad de Zaragoza
000074856 245__ $$aOn the fixed-stress split scheme as smoother in multigrid methods for coupling flow and geomechanics
000074856 260__ $$c2017
000074856 5060_ $$aAccess copy available to the general public$$fUnrestricted
000074856 5203_ $$aThe fixed-stress split method has been widely used as solution method in the coupling of flow and geomechanics. In this work, we analyze the behavior of an inexact version of this algorithm as smoother within a geometric multigrid method, in order to obtain an efficient monolithic solver for Biot''s problem. This solver combines the advantages of being a fully coupled method, with the benefit of decoupling the flow and the mechanics part in the smoothing algorithm. Moreover, the fixed-stress split smoother is based on the physics of the problem, and therefore all parameters involved in the relaxation are based on the physical properties of the medium and are given a priori. A local Fourier analysis is applied to study the convergence of the multigrid method and to support the good convergence results obtained. The proposed geometric multigrid algorithm is used to solve several tests in semi-structured triangular grids, in order to show the good behavior of the method and its practical utility.
000074856 536__ $$9info:eu-repo/grantAgreement/ES/MICINN/MTM2016-75139-R$$9This project has received funding from the European Union’s Horizon 2020 research and innovation program under grant agreement No H2020 705402-poro sos$$9info:eu-repo/grantAgreement/EC/H2020/705402/EU/Efficient numerical methods for deformable porous media. Application to carbon dioxide storage./poro sos
000074856 540__ $$9info:eu-repo/semantics/openAccess$$aby-nc-nd$$uhttp://creativecommons.org/licenses/by-nc-nd/3.0/es/
000074856 590__ $$a4.441$$b2017
000074856 591__ $$aMECHANICS$$b7 / 134 = 0.052$$c2017$$dQ1$$eT1
000074856 591__ $$aMATHEMATICS, INTERDISCIPLINARY APPLICATIONS$$b2 / 103 = 0.019$$c2017$$dQ1$$eT1
000074856 591__ $$aENGINEERING, MULTIDISCIPLINARY$$b5 / 86 = 0.058$$c2017$$dQ1$$eT1
000074856 592__ $$a2.883$$b2017
000074856 593__ $$aComputational Mechanics$$c2017$$dQ1
000074856 593__ $$aComputer Science Applications$$c2017$$dQ1
000074856 593__ $$aPhysics and Astronomy (miscellaneous)$$c2017$$dQ1
000074856 593__ $$aMechanics of Materials$$c2017$$dQ1
000074856 593__ $$aMechanical Engineering$$c2017$$dQ1
000074856 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/acceptedVersion
000074856 700__ $$0(orcid)0000-0002-1598-2831$$aRodrigo, Carmen$$uUniversidad de Zaragoza
000074856 7102_ $$12005$$2595$$aUniversidad de Zaragoza$$bDpto. Matemática Aplicada$$cÁrea Matemática Aplicada
000074856 773__ $$g326 (2017), 526-540$$pComput. methods appl. mech. eng.$$tCOMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING$$x0045-7825
000074856 8564_ $$s1905596$$uhttps://zaguan.unizar.es/record/74856/files/texto_completo.pdf$$yPostprint
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000074856 909CO $$ooai:zaguan.unizar.es:74856$$particulos$$pdriver
000074856 951__ $$a2019-07-09-12:28:31
000074856 980__ $$aARTICLE