Access the full text.
Sign up today, get DeepDyve free for 14 days.
Loading next page...
/lp/wiley/a-new-approach-for-solving-stokes-systems-arising-from-a-distributive-R8HduS0wk0
References (14)
-
G. Wittum (1990)
On the convergence of multi-grid methods with transforming smoothersNumerische Mathematik, 57
-
(1979)
Multigrid solutions to flow problems, S. Parter, editor, Numer methods partial differential equations -
L. Scott, M. Vogelius (1985)
Norm estimates for a maximal right inverse of the divergence operator in spaces of piecewise polynomialsMathematical Modelling and Numerical Analysis, 19
-
M. Fortin, R. Glowinski, T. Chan (1983)
Chapter IV Numerical Solution Of Mildly Nonlinear Problems By Augmented Lagrangian MethodsStudies in Mathematics and Its Applications, 15
-
F. Thomasset (1980)
Finite element methods for Navier-Stokes equations, 2
-
A. Brandt, N. Dinar (1979)
Multigrid Solutions to Elliptic Flow Problems -
Jean-Baptiste Kamga, B. Després (2006)
CFL Condition and Boundary Conditions for DGM Approximation of Convection-DiffusionSIAM J. Numer. Anal., 44
-
C. Bacuta (2006)
A Unified Approach for Uzawa AlgorithmsSIAM J. Numer. Anal., 44
-
(1998)
Multilevel Iterated Penalty Method for Mixed Elements -
Scott Scott, Vogelius Vogelius (1985)
Norm estimates for a maximal right inverse of the divergence operator in spaces of piecewise polynomials, RAIROModelisation Math Anal Numer, 19
-
M. Fortin, R. Glowinski (1983)
Augmented Lagrangian methods : applications to the numerical solution of boundary-value problems -
S. Brenner, L. Scott (1994)
The Mathematical Theory of Finite Element Methods -
C. Bacuta (2009)
Schur complements on Hilbert spaces and saddle point systemsJournal of Computational and Applied Mathematics, 225
-
R. Nochetto, Jae-Hong Pyo (2004)
Optimal relaxation parameter for the Uzawa MethodNumerische Mathematik, 98
- Publisher
- Wiley
- Copyright
- Copyright © 2011 Wiley Periodicals, Inc.
- ISSN
- 0749-159X
- eISSN
- 1098-2426
- DOI
- 10.1002/num.20560
- Publisher site
- See Article on Publisher Site
Abstract
The distributed relaxation method for the Stokes problem has been advertised as an adequate change of variables that leads to a lower triangular system with Laplace operators on the main diagonal for which multigrid methods are very efficient. We show that under high regularity of the Laplacian, the transformed system admits almost block‐lower triangular form. We analyze the distributed relaxation method and compare it with other iterative methods for solving the Stokes system. We also present numerical experiments illustrating the effectiveness of the transformation which is well established for certain finite difference discretizations of Stokes problems. © 2010 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 27: 898–914, 2011
Journal
Numerical Methods for Partial Differential Equations – Wiley
Published: Jul 1, 2011