An Efficient Multigrid Solver based on Distributive Smoothing for Poroelasticity Equations

Authors:
R. Wien;F. J. Gaspar;F. J. Lisbona;C. W. Oosterlee
Affiliations:
Mathematical Institute, University of Cologne, Weyertal 86-90, 50931, Cologne, Germany;University of Zaragoza, Departamento de Mathemática Aplicada, Pedro Cerbuna 12, 50009, Zaragoza, Spain;University of Zaragoza, Departamento de Mathemática Aplicada, Pedro Cerbuna 12, 50009, Zaragoza, Spain;Department of Applied Mathematical Analysis, Delft University of Technology, Faculty of Information Technology Systems, Mekelweg 4, 2628 CD, Delft, The Netherlands
Venue:
Computing
Year:
2004

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Abstract

In this paper, we present a robust distributive smoother in a multigrid method for the system of poroelasticity equations. Within the distributive framework, we deal with a decoupled system, that can be smoothed with basic iterative methods like an equation-wise red-black Jacobi point relaxation. The properties of the distributive relaxation are optimized with the help of Fourier smoothing analysis. A highly efficient multigrid method results, as is confirmed by Fourier two-grid analysis and numerical experiments.