# Items where Author is "Silvester, David"

**22**.

## Article

Duminil, Sebastien and Sadok, Hassane and Silvester, David
(2014)
*Fast solvers for discretized Navier-Stokes problems using vector extrapolation.*
Numerical Algorithms, 66 (1).
pp. 89-104.
ISSN 1017-1398

Bespalov, Alex and Powell, Catherine E. and Silvester, David
(2014)
*Energy norm a posteriori error estimation for parametric operator equations.*
SIAM Journal on Scientific Computing, 36 (2).
A339-A363.
ISSN 1095-7197

Silvester, David and Liao, Qifeng
(2013)
*Robust Stabilized Stokes Approximation Methods for Highly Stretched Grids.*
IMA Journal of Numerical Analysis, 33.
pp. 413-431.
ISSN 0272-4979

Bespalov, Alexei and Powell, Catherine E. and Silvester, David
(2012)
*A priori error analysis of stochastic Galerkin mixed approximations of elliptic PDEs with random data.*
SIAM Journal on Numerical Analysis, 50 (4).
pp. 2039-2063.
ISSN 1095-7170

Elman, Howard and Mihajlovic, Milan and Silvester, David
(2011)
*Fast iterative solvers for buoyancy driven flow problems.*
Journal of Computational Physics, 230 (10).
pp. 3900-3914.
ISSN 0021-9991

Liao, Qifeng and Silvester, David
(2010)
*A simple yet effective a posteriori estimator for classical mixed approximation of Stokes equations.*
Applied Numerical Mathematics.
ISSN 0168-9274
(In Press)

Gresho, Philip and Griffiths, David and Silvester, David
(2008)
*Adaptive time-stepping for incompressible flow. Part I: scalar advection-diffusion.*
SIAM Journal on Scientific Computing, 30 (4).
pp. 2018-2054.
ISSN 1064-8275

Elman, Howard and Howle, Victoria and Shadid, John and Silvester, David and Tuminaro, Ray
(2007)
*Least squares preconditioners for stabilized discretizations of the Navier-Stokes equations.*
SIAM Journal on Scientific Computing, 30 (1).
pp. 290-311.
ISSN 1095-7197

Silvester, David and Mihajlovic, Milan D.
(2004)
*A Black-Box Multigrid Preconditioner for the Biharmonic Equation.*
BIT Numerical Mathematics, 44 (1).
pp. 151-163.
ISSN 1572-9125

Powell, Catherine and Silvester, David
(2003)
*Black-Box Preconditioning for Self-Adjoint Elliptic PDEs.*
Lecture Notes in Computational Science and Engineering (Springer), 35.
pp. 268-285.
ISSN 3-540-40887-8

Powell, Catherine and Silvester, David
(2003)
*Optimal Preconditioning for Raviart-Thomas Mixed Formulation of Second-Order Elliptic Problems.*
SIAM Journal on Matrix Analysis and Applications, 25 (3).
pp. 718-738.
ISSN 0895-4798

Silvester, David and Elman, Howard and Kay, David and Wathen, Andrew
(2001)
*Efficient preconditioning of the linearized Navier-Stokes equations for incompressible flow.*
Journal of Computational and Applied Mathematics, 128 (1-2).
pp. 261-279.
ISSN 0377-0427

## MIMS Preprint

Pearson, John and Pestana, Jennifer and Silvester, David
(2016)
*Refined saddle-point preconditioners for discretized Stokes problems.*
[MIMS Preprint]

Powell, Catherine E. and Silvester, David and Simoncini, Valeria
(2015)
*An Efficient Reduced Basis Solver for Stochastic Galerkin Matrix Equations.*
[MIMS Preprint]

Bespalov, Alex and Silvester, David
(2015)
*Efficient adaptive stochastic Galerkin methods for parametric operator equations.*
[MIMS Preprint]

Silvester, David and Pranjal
(2015)
*An optimal iterative solver for linear systems arising from SFEM
approximation of diffusion equations with random coefficients.*
[MIMS Preprint]

Silvester, David and Bespalov, Alexei and Powell, Catherine E.
(2011)
*A framework for the development of implicit solvers for incompressible flow problems.*
[MIMS Preprint]

Griffiths, David and Silvester, David
(2011)
*Unstable modes of the Q1-P0 element.*
[MIMS Preprint]

Liao, Qifeng and Silvester, David
(2011)
*Fast Implicit Solvers using Stabilized Mixed Approximation.*
[MIMS Preprint]

Rees, Glyn and Silvester, David and Mihajlovic, Milan
(2011)
*A truncated ILU smoother for multigrid
preconditioning of convection dominated flow problems.*
[MIMS Preprint]

Elman, Howard and Mihajlovic, Milan and Silvester, David
(2010)
*Fast iterative solvers for buoyancy driven flow problems.*
[MIMS Preprint]

Liao, Qifeng and Silvester, David
(2009)
*A simple yet effective a posteriori estimator for classical mixed approximation of Stokes equations.*
[MIMS Preprint]