A multigrid waveform relaxation method for solving the poroelasticity equations

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 o...

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Bibliographic Details
Published in:	Computational & applied mathematics Vol. 37; no. 4; pp. 4805 - 4820
Main Authors:	Franco, S. R., Rodrigo, C., Gaspar, F. J., Pinto, M. A. V.
Format:	Journal Article
Language:	English
Published:	Cham Springer International Publishing 01.09.2018 Springer Nature B.V
Subjects:	Algebra Applications of Mathematics Applied physics Computational mathematics Computational Mathematics and Numerical Analysis Finite difference method Iterative methods Mathematical Applications in Computer Science Mathematical Applications in the Physical Sciences Mathematical models Mathematics Mathematics and Statistics Poroelasticity Relaxation method (mathematics) Multigrid waveform relaxation 65F10 Poroelasticity Semi-algebraic mode analysis Space–time grids 65M55 65M22 Vanka smoother
ISSN:	0101-8205, 2238-3603, 1807-0302
Online Access:	Get full text
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