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

1993 ◽  
Vol 14 (2) ◽  
pp. 310-337 ◽  
Author(s):  
Yvon Maday ◽  
Dan Meiron ◽  
Anthony T. Patera ◽  
Einar M. Rønquist
Keyword(s):  
Iterative Methods ◽  
Stokes Problem ◽  
Spectral Element ◽  
Element Discretizations

On iterative methods for the incompressible Stokes problem

2011 ◽  
Vol 65 (10) ◽  
pp. 1180-1200 ◽  
Author(s):  
M. ur Rehman ◽  
T. Geenen ◽  
C. Vuik ◽  
G. Segal ◽  
S. P. MacLachlan
Keyword(s):  
Iterative Methods ◽  
Stokes Problem

scholarly journals Mortar spectral element discretization of the stokes problem in axisymmetric domains

2013 ◽  
Vol 30 (1) ◽  
pp. 44-73 ◽  
Author(s):  
Saloua Mani Aouadi ◽  
Christine Bernardi ◽  
Jamil Satouri
Keyword(s):  
Stokes Problem ◽  
Spectral Element ◽  
Element Discretization

scholarly journals Finite Element Preconditioning on Spectral Element Discretizations for Coupled Elliptic Equations

2012 ◽  
Vol 2012 ◽  
pp. 1-16 ◽  
Author(s):  
JongKyum Kwon ◽  
Soorok Ryu ◽  
Philsu Kim ◽  
Sang Dong Kim
Keyword(s):  
Optimal Control ◽  
Finite Element ◽  
Optimal Control Problem ◽  
Control Problem ◽  
Elliptic System ◽  
Elliptic Equations ◽  
Spectral Element ◽  
Uniform Bounds ◽  
Element System ◽  
Element Discretizations

The uniform bounds on eigenvalues ofB^h2−1A^N2are shown both analytically and numerically by theP1finite element preconditionerB^h2−1for the Legendre spectral element systemA^N2u¯=f¯which is arisen from a coupled elliptic system occurred by an optimal control problem. The finite element preconditioner is corresponding to a leading part of the coupled elliptic system.

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