170092 20260318155254.0 doi 10.1007/s40314-018-0603-9 sideral 107958 ART-2018-107958 eng Franco, S.R. A multigrid waveform relaxation method for solving the poroelasticity equations 2018 In 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. info:eu-repo/semantics/closedAccess All rights reserved http://www.europeana.eu/rights/rr-f/ 1.26 2018 MATHEMATICS, APPLIED 100 / 254 = 0.394 2018 Q2 T2 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Rodrigo, C. Universidad de Zaragoza (orcid)0000-0002-1598-2831 Gaspar, F.J. Universidad de Zaragoza (orcid)0000-0002-9777-5245 Pinto, M.A.V. 2005 595 Universidad de Zaragoza Dpto. Matemática Aplicada Área Matemática Aplicada 37, 4 (2018), 4805-4820 Comput. Appl. Math. Computational & Applied Mathematics 2238-3603 928757 http://zaguan.unizar.es/record/170092/files/texto_completo.pdf Versión publicada 1084050 http://zaguan.unizar.es/record/170092/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:170092 articulos driver 2026-03-18-13:52:05 ARTICLE