000065237 001__ 65237
000065237 005__ 20190709135609.0
000065237 0247_ $$2doi$$a10.1137/16M1076514
000065237 0248_ $$2sideral$$a104078
000065237 037__ $$aART-2017-104078
000065237 041__ $$aeng
000065237 100__ $$aLuo, Peiyao
000065237 245__ $$aUzawa smoother in multigrid for the coupled porous medium and Stokes flow system
000065237 260__ $$c2017
000065237 5060_ $$aAccess copy available to the general public$$fUnrestricted
000065237 5203_ $$aThe multigrid solution of coupled porous media and Stokes flow problems is considered. The Darcy equation as the saturated porous medium model is coupled to the Stokes equations by means of appropriate interface conditions. We focus on an efficient multigrid solution technique for the coupled problem, which is discretized by finite volumes on staggered grids, giving rise to a saddle point linear system. Special treatment is required regarding the discretization at the interface. An Uzawa smoother is employed in multigrid, which is a decoupled procedure based on symmetric Gauss--Seidel smoothing for velocity components and a simple Richardson iteration for the pressure field. Since a relaxation parameter is part of a Richardson iteration, local Fourier analysis is applied to determine the optimal parameters. Highly satisfactory multigrid convergence is reported, and, moreover, the algorithm performs very well for small values of the hydraulic conductivity and fluid viscosity, which are relevant for applications.
000065237 536__ $$9info:eu-repo/grantAgreement/ES/MICINN/MTM2013-40842-P$$9This project has received funding from the European Union’s Horizon 2020 research and innovation program under grant agreement No H2020 705402-poro sos$$9info:eu-repo/grantAgreement/EC/H2020/705402/EU/Efficient numerical methods for deformable porous media. Application to carbon dioxide storage./poro sos$$9info:eu-repo/grantAgreement/ES/DGA/PDIE
000065237 540__ $$9info:eu-repo/semantics/openAccess$$aAll rights reserved$$uhttp://www.europeana.eu/rights/rr-f/
000065237 590__ $$a2.046$$b2017
000065237 591__ $$aMATHEMATICS, APPLIED$$b27 / 252 = 0.107$$c2017$$dQ1$$eT1
000065237 592__ $$a1.973$$b2017
000065237 593__ $$aComputational Mathematics$$c2017$$dQ1
000065237 593__ $$aApplied Mathematics$$c2017$$dQ1
000065237 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion
000065237 700__ $$0(orcid)0000-0002-1598-2831$$aRodrigo, Carmen$$uUniversidad de Zaragoza
000065237 700__ $$0(orcid)0000-0002-9777-5245$$aGaspar Lorenz, Francisco José$$uUniversidad de Zaragoza
000065237 700__ $$aOosterlee, Cornelis W.
000065237 7102_ $$12005$$2595$$aUniversidad de Zaragoza$$bDpto. Matemática Aplicada$$cÁrea Matemática Aplicada
000065237 773__ $$g39, 5 (2017), S633-S661$$pSIAM j. sci. comput.$$tSIAM JOURNAL ON SCIENTIFIC COMPUTING$$x1064-8275
000065237 8564_ $$s1093898$$uhttps://zaguan.unizar.es/record/65237/files/texto_completo.pdf$$yVersión publicada
000065237 8564_ $$s88567$$uhttps://zaguan.unizar.es/record/65237/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada
000065237 909CO $$ooai:zaguan.unizar.es:65237$$particulos$$pdriver
000065237 951__ $$a2019-07-09-12:21:40
000065237 980__ $$aARTICLE