000056166 001__ 56166 000056166 005__ 20200221144208.0 000056166 0247_ $$2doi$$a10.1007/s00791-016-0260-8 000056166 0248_ $$2sideral$$a95301 000056166 037__ $$aART-2016-95301 000056166 041__ $$aeng 000056166 100__ $$aLuo, P. 000056166 245__ $$aMultigrid method for nonlinear poroelasticity equations 000056166 260__ $$c2016 000056166 5060_ $$aAccess copy available to the general public$$fUnrestricted 000056166 5203_ $$aIn this study, a nonlinear multigrid method is applied for solving the system of incompressible poroelasticity equations considering nonlinear hydraulic conductivity. For the unsteady problem, an additional artificial term is utilized to stabilize the solutions when the equations are discretized on collocated grids. We employ two nonlinear multigrid methods, i.e. the “full approximation scheme” and “Newton multigrid” for solving the corresponding system of equations arising after discretization. For the steady case, both homogeneous and heterogeneous cases are solved and two different smoothers are examined to search for an efficient multigrid method. Numerical results show a good convergence performance for all the strategies. 000056166 536__ $$9info:eu-repo/grantAgreement/ES/MICINN/MTM2013-40842-P 000056166 540__ $$9info:eu-repo/semantics/openAccess$$aby$$uhttp://creativecommons.org/licenses/by/3.0/es/ 000056166 592__ $$a0.362$$b2016 000056166 593__ $$aEngineering (miscellaneous)$$c2016$$dQ2 000056166 593__ $$aComputer Vision and Pattern Recognition$$c2016$$dQ2 000056166 593__ $$aTheoretical Computer Science$$c2016$$dQ3 000056166 593__ $$aModeling and Simulation$$c2016$$dQ3 000056166 593__ $$aSoftware$$c2016$$dQ3 000056166 593__ $$aComputational Theory and Mathematics$$c2016$$dQ3 000056166 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion 000056166 700__ $$0(orcid)0000-0002-1598-2831$$aRodrigo, C.$$uUniversidad de Zaragoza 000056166 700__ $$0(orcid)0000-0002-9777-5245$$aGaspar, F.J.$$uUniversidad de Zaragoza 000056166 700__ $$aOosterlee, C.W. 000056166 7102_ $$12005$$2595$$aUniversidad de Zaragoza$$bDpto. Matemática Aplicada$$cÁrea Matemática Aplicada 000056166 773__ $$g17, 5 (2016), 255-265$$pComput. vis. sci.$$tComputing and visualization in science$$x1432-9360 000056166 8564_ $$s1788787$$uhttps://zaguan.unizar.es/record/56166/files/texto_completo.pdf$$yVersión publicada 000056166 8564_ $$s9705$$uhttps://zaguan.unizar.es/record/56166/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada 000056166 909CO $$ooai:zaguan.unizar.es:56166$$particulos$$pdriver 000056166 951__ $$a2020-02-21-13:10:42 000056166 980__ $$aARTICLE