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Now showing items 1-10 of 26

#### A Block Preconditioner for an Exact Penalty Formulation for Stationary MHD

(2014-02-04)

The magnetohydrodynamics (MHD) equations are used to model the flow of electrically conducting fluids in such applications as liquid metals and plasmas. This system of non-self adjoint, nonlinear PDEs couples the Navier-Stokes ...

#### Preconditioning Strategies for Models of Incompressible Flow

(2003-11-25)

We describe some new preconditioning strategies for handling the algebraic
systems of equations that arise from discretization of the incompressible
Navier-Stokes equations. We demonstrate how these methods adapt in ...

#### Efficient Iterative Algorithms for Linear Stability Analysis of Incompressible Flows

(2013-11-07)

Linear stability analysis of a dynamical system entails finding the rightmost eigenvalue for a series of eigenvalue problems. For large-scale systems, it is known that conventional iterative eigenvalue solvers are not ...

#### Iterative Methods for Problems in Computational Fluid Dynamics

(1998-10-15)

We discuss iterative methods for solving the algebraic systems of equations
arising from linearization and discretization of primitive variable
formulations of the incompressible Navier-Stokes equations.
Implicit discretization ...

#### Boundary Conditions in Approximate Commutator Preconditioners for the Navier-Stokes Equations

(2009-02)

Boundary conditions are analyzed for a class of preconditioners used for the incompressible Navier-Stokes equations. We consider pressure convection-diffusion preconditioners [8,12] as well as least-square commutator methods ...

#### Perturbation of Eigenvalues of Preconditioned Navier-Stokes Operators

(1998-10-15)

We study the sensitivity of algebraic eigenvalue problems
associated with matrices arising from linearization and discretization of
the steady-state Navier-Stokes equations. In particular, for several
choices of Reconditioners ...

#### Efficient Iterative Solution of the Three-Dimensional Helmholtz Equation

(1998-10-15)

We examine preconditioners for the discrete indefinite Helmholtz equation on a
three-dimensional box-shaped domain with Sommerfeld-like boundary conditions.
The preconditioners are of two types. The first is derived
by ...

#### Eigenanalysis of Some Preconditioned Helmholtz Problems

(1998-10-15)

In this work we calculate the eigenvalues obtained by
preconditioning the discrete Helmholtz operator with
Sommerfeld-like boundary conditions on a rectilinear domain, by
a related operator with boundary conditions
that ...

#### Iterative Methods for Stabilized DiscreteConvection--Diffusion Problems

(1998-10-28)

In this paper, we study the computational cost of solving the
convection-diffusion equation using various discretization strategies
and iteration solution algorithms. The choice of discretization
influences the properties ...

#### Reduced Basis Collocation Methods for Partial Differential Equations with Random Coefficients

(2012-06-18)

The sparse grid stochastic collocation method is a new method for
solving partial differential equations with random coefficients.
However, when the probability space has high dimensionality, the number
of points required ...