000170092 001__ 170092
000170092 005__ 20260318155254.0
000170092 0247_ $$2doi$$a10.1007/s40314-018-0603-9
000170092 0248_ $$2sideral$$a107958
000170092 037__ $$aART-2018-107958
000170092 041__ $$aeng
000170092 100__ $$aFranco, S.R.
000170092 245__ $$aA multigrid waveform relaxation method for solving the poroelasticity equations
000170092 260__ $$c2018
000170092 5203_ $$aIn this work, a multigrid waveform relaxation method is proposed for solving a collocated finite difference discretization of the linear Biot''s model. This gives rise to the first space-time multigrid solver for poroelasticity equations in the literature. The waveform relaxation iteration is based on a point-wise Vanka smoother that couples the pressure variable at a grid-point with the displacements around it. A semi-algebraic mode analysis is proposed to theoretically analyze the convergence of the multigrid waveform relaxation algorithm. This analysis is novel since it combines the semi-algebraic analysis, suitable for parabolic problems, with the non-standard analysis for overlapping smoothers. The practical utility of the method is illustrated through several numerical experiments in one and two dimensions.
000170092 540__ $$9info:eu-repo/semantics/closedAccess$$aAll rights reserved$$uhttp://www.europeana.eu/rights/rr-f/
000170092 590__ $$a1.26$$b2018
000170092 591__ $$aMATHEMATICS, APPLIED$$b100 / 254 = 0.394$$c2018$$dQ2$$eT2
000170092 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion
000170092 700__ $$0(orcid)0000-0002-1598-2831$$aRodrigo, C.$$uUniversidad de Zaragoza
000170092 700__ $$0(orcid)0000-0002-9777-5245$$aGaspar, F.J.$$uUniversidad de Zaragoza
000170092 700__ $$aPinto, M.A.V.
000170092 7102_ $$12005$$2595$$aUniversidad de Zaragoza$$bDpto. Matemática Aplicada$$cÁrea Matemática Aplicada
000170092 773__ $$g37, 4 (2018), 4805-4820$$pComput. Appl. Math.$$tComputational & Applied Mathematics$$x2238-3603
000170092 8564_ $$s928757$$uhttps://zaguan.unizar.es/record/170092/files/texto_completo.pdf$$yVersión publicada
000170092 8564_ $$s1084050$$uhttps://zaguan.unizar.es/record/170092/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada
000170092 909CO $$ooai:zaguan.unizar.es:170092$$particulos$$pdriver
000170092 951__ $$a2026-03-18-13:52:05
000170092 980__ $$aARTICLE