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SIAMSC
2008
140views more  SIAMSC 2008»
13 years 9 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
SIAMSC
2008
150views more  SIAMSC 2008»
13 years 9 months ago
Asymptotic Stability of a Jump-Diffusion Equation and Its Numerical Approximation
Asymptotic linear stability is studied for stochastic differential equations (SDEs) that incorporate Poisson-driven jumps and their numerical simulation using Eulertype discretisa...
Graeme D. Chalmers, Desmond J. Higham
SIAMSC
2008
230views more  SIAMSC 2008»
13 years 9 months ago
Augmented Mixed Finite Element Methods for the Stationary Stokes Equations
In this paper we introduce and analyze two augmented mixed finite element methods for a velocity-pressure-stress formulation of the stationary Stokes equations. Our approach, which...
Leonardo E. Figueroa, Gabriel N. Gatica, Antonio M...
SIAMSC
2008
123views more  SIAMSC 2008»
13 years 9 months ago
Balanced Incomplete Factorization
In this paper we present a new incomplete factorization of a square matrix into triangular factors in which we get standard LU or LDLT factors (direct factors) and their inverses (...
Rafael Bru, José Marín, José ...
SIAMSC
2008
113views more  SIAMSC 2008»
13 years 9 months ago
An Efficient and Robust Method for Simulating Two-Phase Gel Dynamics
We develop a computational method for simulating models of gel dynamics where the gel is described by two phases, a networked polymer and a fluid solvent. The models consist of tra...
Grady B. Wright, Robert D. Guy, Aaron L. Fogelson