David J. Silvester

Publication Activity (10 Years)

Years Active: 1988-2024
Publications (10 Years): 23

Top Topics

Error Estimation

Stopping Criteria

Top Venues

SIAM J. Sci. Comput.

Comput. Math. Appl.

Numerische Mathematik

Publications

Jennifer Pestana, David J. Silvester
Fast solution of incompressible flow problems with two-level pressure approximation. Numerische Mathematik 156 (4) (2024)
Yani Feng, Qifeng Liao, David J. Silvester
Robin-type domain decomposition with stabilized mixed approximation for incompressible flow. Comput. Math. Appl. 147 (2023)
Benjamin M. Kent, Catherine E. Powell, David J. Silvester, Malgorzata J. Zimon
Efficient Adaptive Stochastic Collocation Strategies for Advection-Diffusion Problems with Uncertain Inputs. J. Sci. Comput. 96 (3) (2023)
Alex Bespalov, David J. Silvester
Error Estimation and Adaptivity for Stochastic Collocation Finite Elements Part II: Multilevel Approximation. SIAM J. Sci. Comput. 45 (2) (2023)
Jennifer Pestana, David J. Silvester
Fast solution of incompressible flow problems with two-level pressure approximation. CoRR (2023)
Georgios Papanikos, Catherine E. Powell, David J. Silvester
IFISS3D: A Computational Laboratory for Investigating Finite Element Approximation in Three Dimensions. ACM Trans. Math. Softw. 49 (3) (2023)
Alex Bespalov, David J. Silvester, Feng Xu
Error Estimation and Adaptivity for Stochastic Collocation Finite Elements Part I: Single-Level Approximation. SIAM J. Sci. Comput. 44 (5) (2022)
Benjamin M. Kent, Catherine E. Powell, David J. Silvester, Malgorzata J. Zimon
Efficient Adaptive Stochastic Collocation Strategies for Advection-Diffusion Problems with Uncertain Inputs. CoRR (2022)
Georgios Papanikos, Catherine E. Powell, David J. Silvester
IFISS3D: A computational laboratory for investigating finite element approximation in three dimensions. CoRR (2022)
Alex Bespalov, David J. Silvester
Error estimation and adaptivity for stochastic collocation finite elements Part II: multilevel approximation. CoRR (2022)
Arbaz Khan, Alex Bespalov, Catherine E. Powell, David J. Silvester
Robust a posteriori error estimation for parameter-dependent linear elasticity equations. Math. Comput. 90 (328) (2021)
Alex Bespalov, David J. Silvester, Feng Xu
Error estimation and adaptivity for stochastic collocation finite elements Part I: single-level approximation. CoRR (2021)
Alex Bespalov, Leonardo Rocchi, David J. Silvester
T-IFISS: a toolbox for adaptive FEM computation. Comput. Math. Appl. 81 (2021)
Ronald W. Thatcher, David J. Silvester
A locally mass conserving quadratic velocity, linear pressure element. CoRR (2020)
Jens Lang, Robert Scheichl, David J. Silvester
A fully adaptive multilevel stochastic collocation strategy for solving elliptic PDEs with random data. J. Comput. Phys. 419 (2020)
Alex Bespalov, Leonardo Rocchi, David J. Silvester
T-IFISS: a toolbox for adaptive FEM computation. CoRR (2019)
Arbaz Khan, Catherine E. Powell, David J. Silvester
Robust Preconditioning for Stochastic Galerkin Formulations of Parameter-Dependent Nearly Incompressible Elasticity Equations. SIAM J. Sci. Comput. 41 (1) (2019)
Pranjal, David J. Silvester
Balanced Iterative Solvers for Linear Nonsymmetric Systems and Nonlinear Systems with PDE Origins: Efficient Black-Box Stopping Criteria. J. Sci. Comput. 81 (1) (2019)
John W. Pearson, Jennifer Pestana, David J. Silvester
Refined saddle-point preconditioners for discretized Stokes problems. Numerische Mathematik 138 (2) (2018)
Howard C. Elman, David J. Silvester
Collocation Methods for Exploring Perturbations in Linear Stability Analysis. SIAM J. Sci. Comput. 40 (4) (2018)
Catherine Elizabeth Powell, David J. Silvester, Valeria Simoncini
An Efficient Reduced Basis Solver for Stochastic Galerkin Matrix Equations. SIAM J. Sci. Comput. 39 (1) (2017)
David J. Silvester, Pranjal
An Optimal Solver for Linear Systems Arising from Stochastic FEM Approximation of Diffusion Equations with Random Coefficients. SIAM/ASA J. Uncertain. Quantification 4 (1) (2016)
Alexei Bespalov, David J. Silvester
Efficient Adaptive Stochastic Galerkin Methods for Parametric Operator Equations. SIAM J. Sci. Comput. 38 (4) (2016)
Howard C. Elman, Alison Ramage, David J. Silvester
IFISS: A Computational Laboratory for Investigating Incompressible Flow Problems. SIAM Rev. 56 (2) (2014)
Sébastien Duminil, Hassane Sadok, David J. Silvester
Fast solvers for discretized Navier-Stokes problems using vector extrapolation. Numer. Algorithms 66 (1) (2014)
Alexei Bespalov, Catherine Elizabeth Powell, David J. Silvester
Energy Norm A Posteriori Error Estimation for Parametric Operator Equations. SIAM J. Sci. Comput. 36 (2) (2014)
Alexei Bespalov, Catherine Elizabeth Powell, David J. Silvester
A Priori Error Analysis of Stochastic Galerkin Mixed Approximations of Elliptic PDEs with Random Data. SIAM J. Numer. Anal. 50 (4) (2012)
Catherine Elizabeth Powell, David J. Silvester
Preconditioning Steady-State Navier-Stokes Equations with Random Data. SIAM J. Sci. Comput. 34 (5) (2012)
David J. Silvester, Valeria Simoncini
An Optimal Iterative Solver for Symmetric Indefinite Systems Stemming from Mixed Approximation. ACM Trans. Math. Softw. 37 (4) (2011)
Howard C. Elman, Milan D. Mihajlovic, David J. Silvester
Fast iterative solvers for buoyancy driven flow problems. J. Comput. Phys. 230 (10) (2011)
Ray Tuminaro, Michele Benzi, Xiao-Chuan Cai, Iain Duff, Howard C. Elman, Roland Freund, Kirk E. Jordan, Tim Kelley, David E. Keyes, Misha Elena Kilmer, Sven Leyffer, Tom Manteuffel, Steve F. McCormick, David J. Silvester, Homer F. Walker
Special Section: 2010 Copper Mountain Conference. SIAM J. Sci. Comput. 33 (5) (2011)
David A. Kay, Philip M. Gresho, David F. Griffiths, David J. Silvester
Adaptive Time-Stepping for Incompressible Flow Part II: Navier--Stokes Equations. SIAM J. Sci. Comput. 32 (1) (2010)
Oliver G. Ernst, Catherine Elizabeth Powell, David J. Silvester, Elisabeth Ullmann
Efficient Solvers for a Linear Stochastic Galerkin Mixed Formulation of Diffusion Problems with Random Data. SIAM J. Sci. Comput. 31 (2) (2009)
Philip M. Gresho, David F. Griffiths, David J. Silvester
Adaptive Time-Stepping for Incompressible Flow Part I: Scalar Advection-Diffusion. SIAM J. Sci. Comput. 30 (4) (2008)
Howard C. Elman, Victoria E. Howle, John N. Shadid, David J. Silvester, Ray S. Tuminaro
Least Squares Preconditioners for Stabilized Discretizations of the Navier-Stokes Equations. SIAM J. Sci. Comput. 30 (1) (2007)
Howard C. Elman, Alison Ramage, David J. Silvester
Algorithm 866: IFISS, a Matlab toolbox for modelling incompressible flow. ACM Trans. Math. Softw. 33 (2) (2007)
Milan D. Mihajlovic, David J. Silvester
Efficient parallel solvers for the biharmonic equation. Parallel Comput. 30 (1) (2004)
Catherine Elizabeth Powell, David J. Silvester
Optimal Preconditioning for Raviart-Thomas Mixed Formulation of Second-Order Elliptic Problems. SIAM J. Matrix Anal. Appl. 25 (3) (2003)
Howard C. Elman, David J. Silvester, Andrew J. Wathen
Performance and analysis of saddle point preconditioners for the discrete steady-state Navier-Stokes equations. Numerische Mathematik 90 (4) (2002)
Sean Norburn, David J. Silvester
Mixed Finite Element Approximation. SIAM J. Numer. Anal. 39 (3) (2001)
David A. Kay, David J. Silvester
A Posteriori Error Estimation for Stabilized Mixed Approximations of the Stokes Equations. SIAM J. Sci. Comput. 21 (4) (1999)
Howard C. Elman, David J. Silvester
Fast Nonsymmetric Iterations and Preconditioning for Navier-Stokes Equations. SIAM J. Sci. Comput. 17 (1) (1996)
David J. Silvester
Optimising finite element matrix calculations using the general technique of element vectorisation. Parallel Comput. 6 (2) (1988)