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APPML
2005
63views more  APPML 2005»
13 years 4 months ago
A fourth-order eigenvalue problem arising in viscoelastic flow
We consider a fourth-order eigenvalue problem on a semi-infinite strip which arises in the study of viscoelastic shear flow. The eigenvalues and eigenfunctions are computed by a s...
David O. Olagunju
SIAMSC
2010
192views more  SIAMSC 2010»
13 years 2 months ago
Adaptive Discontinuous Galerkin Methods for Eigenvalue Problems Arising in Incompressible Fluid Flows
In this article we consider the a posteriori error estimation and adaptive mesh refinement of discontinuous Galerkin finite element approximations of the hydrodynamic stability p...
K. Andrew Cliffe, Edward J. C. Hall, Paul Houston
SIAMSC
2008
140views more  SIAMSC 2008»
13 years 4 months ago
Newton-GMRES Preconditioning for Discontinuous Galerkin Discretizations of the Navier--Stokes Equations
We study preconditioners for the iterative solution of the linear systems arising in the implicit time integration of the compressible Navier-Stokes equations. The spatial discreti...
Per-Olof Persson, Jaime Peraire
SIAMMAX
2010
116views more  SIAMMAX 2010»
12 years 11 months ago
Acquired Clustering Properties and Solution of Certain Saddle Point Systems
Many mathematical models involve flow equations characterized by nonconstant viscosity, and a Stokes type problem with variable viscosity coefficient arises. Appropriate block diag...
M. A. Olshanskii, V. Simoncini