CaltechAUTHORS
  A Caltech Library Service

Analysis of Iterative Methods for the Steady and Unsteady Stokes Problem: Application to Spectral Element Discretizations

Maday, Yvon and Meiron, Dan and Patera, Anthony T. and Rønquist, Einar M. (1993) Analysis of Iterative Methods for the Steady and Unsteady Stokes Problem: Application to Spectral Element Discretizations. SIAM Journal on Scientific Computing, 14 (2). pp. 310-337. ISSN 1064-8275. http://resolver.caltech.edu/CaltechAUTHORS:20120307-151849174

[img]
Preview
PDF - Published Version
See Usage Policy.

2602Kb

Use this Persistent URL to link to this item: http://resolver.caltech.edu/CaltechAUTHORS:20120307-151849174

Abstract

A new and detailed analysis of the basic Uzawa algorithm for decoupling of the pressure and the velocity in the steady and unsteady Stokes operator is presented. The paper focuses on the following new aspects: explicit construction of the Uzawa pressure-operator spectrum for a semiperiodic model problem; general relationship of the convergence rate of the Uzawa procedure to classical inf-sup discretization analysis; and application of the method to high-order variational discretization.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1137/0914020DOIUNSPECIFIED
http://epubs.siam.org/sisc/resource/1/sjoce3/v14/i2/p310_s1PublisherUNSPECIFIED
Additional Information:© 1993 Society for Industrial and Applied Mathematics. Received by the editors September 25, 1990; accepted for publication (in revised form) March 19, 1992. This work was supported by the Office of Naval Research and Defense Advanced Research Projects Agency contract N00014-89-J-1610, by Office of Naval Research contract N000114-88-K-0188, by National Science Foundation grant ASC-8806925, by Department of Energy Office of Energy Sciences grant DE-AS03-76ER-72012, Applied Mathematical Sciences (KC-07-01-01), and by Nektonics Research Corporation. We would like to thank Paul Fischer at Brown University, and Intel Scientific Computers for providing us with the parallel spectral element results.
Funders:
Funding AgencyGrant Number
Office of Naval Research (ONR)N000114-88-K-0188
Defense Advanced Research Projects Agency (DARPA)N00014-89-J-1610
NSFASC-8806925
Department of Energy (DOE) Office of Energy SciencesDE-AS03-76ER-72012
Applied Mathematical SciencesKC-07-01-01
Nektonics Research CorporationUNSPECIFIED
Subject Keywords:Stokes problem; Uzawa decoupling; iterative methods; inf-sup; spectral elements
Classification Code:AMS Subject Headings: 65I10, 65M70, 65N12, 65N25
Record Number:CaltechAUTHORS:20120307-151849174
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20120307-151849174
Official Citation:Analysis of Iterative Methods for the Steady and Unsteady Stokes Problem: Application to Spectral Element Discretizations Yvon Maday, Dan Meiron, Anthony T. Patera, and Einar M. Ronquist, SIAM J. Sci. Comput. 14, 310 (1993), DOI:10.1137/0914020
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:29629
Collection:CaltechAUTHORS
Deposited By: Jason Perez
Deposited On:12 Mar 2012 21:56
Last Modified:26 Dec 2012 14:55

Repository Staff Only: item control page