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. 310337. ISSN 10648275. http://resolver.caltech.edu/CaltechAUTHORS:20120307151849174

PDF
 Published Version
See Usage Policy. 2602Kb 
Use this Persistent URL to link to this item: http://resolver.caltech.edu/CaltechAUTHORS:20120307151849174
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 pressureoperator spectrum for a semiperiodic model problem; general relationship of the convergence rate of the Uzawa procedure to classical infsup discretization analysis; and application of the method to highorder variational discretization.
Item Type:  Article  

Related URLs: 
 
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 N0001489J1610, by Office of Naval Research contract N00011488K0188, by National Science Foundation grant ASC8806925, by Department of Energy Office of Energy Sciences grant DEAS0376ER72012, Applied Mathematical Sciences (KC070101), 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: 
 
Subject Keywords:  Stokes problem; Uzawa decoupling; iterative methods; infsup; spectral elements  
Classification Code:  AMS Subject Headings: 65I10, 65M70, 65N12, 65N25  
Record Number:  CaltechAUTHORS:20120307151849174  
Persistent URL:  http://resolver.caltech.edu/CaltechAUTHORS:20120307151849174  
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