5 citations · 9 across the 10 of their papers we have counts for
12 papers
Fast solution of incompressible flow problems with two-level pressure approximation
Jennifer Pestana, David J. Silvester
This paper develops efficient preconditioned iterative solvers for incompressible flow problems discretised by an enriched Taylor-Hood mixed approximation, in which the usual press…
Efficient Adaptive Stochastic Collocation Strategies for Advection-Diffusion Problems with Uncertain Inputs
Benjamin M. Kent, Catherine E. Powell, David J. Silvester +1
Physical models with uncertain inputs are commonly represented as parametric partial differential equations (PDEs). That is, PDEs with inputs that are expressed as functions of par…
IFISS3D: A computational laboratory for investigating finite element approximation in three dimensions
Georgios Papanikos, Catherine E. Powell, David J. Silvester
IFISS is an established MATLAB finite element software package for studying strategies for solving partial differential equations (PDEs). IFISS3D is a new add-on toolbox that exten…
Error estimation and adaptivity for stochastic collocation finite elements Part II: multilevel approximation
Alex Bespalov, David J. Silvester
A multilevel adaptive refinement strategy for solving linear elliptic partial differential equations with random data is recalled in this work. The strategy extends the a posterior…
Error estimation and adaptivity for stochastic collocation finite elements Part I: single-level approximation
Alex Bespalov, David Silvester, Feng Xu
A general adaptive refinement strategy for solving linear elliptic partial differential equation with random data is proposed and analysed herein. The adaptive strategy extends the…
A locally mass conserving quadratic velocity, linear pressure element
Ronald W. Thatcher, David J. Silvester
By supplementing the pressure space for the Taylor-Hood element a triangular element that satisfies continuity over each element is produced. Making a novel extension of the patch…
T-IFISS: a toolbox for adaptive FEM computation
Alex Bespalov, Leonardo Rocchi, David Silvester
T-IFISS is a finite element software package for studying finite element solution algorithms for deterministic and parametric elliptic partial differential equations. The emphasis…
Robust a posteriori error estimation for stochastic Galerkin formulations of parameter-dependent linear elasticity equations
Arbaz Khan, Alex Bespalov, Catherine E. Powell +1
The focus of this work is a posteriori error estimation for stochastic Galerkin approximations of parameter-dependent linear elasticity equations. The starting point is a three-fie…
Robust preconditioning for stochastic Galerkin formulations of parameter-dependent nearly incompressible linear elasticity equations
Arbaz Khan, Catherine E. Powell, David J. Silvester
We consider the nearly incompressible linear elasticity problem with an uncertain spatially varying Young's modulus. The uncertainty is modelled with a finite set of parameters wit…
Robust error estimation for lowest-order approximation of nearly incompressible elasticity
Arbaz Khan, Catherine E. Powell, David J. Silvester
We consider so-called Herrmann and Hydrostatic mixed formulations of classical linear elasticity and analyse the error associated with locally stabilised finite element a…
Robust a posteriori error estimators for mixed approximation of nearly incompressible elasticity
Arbaz Khan, Catherine E. Powell, David J. Silvester
This paper is concerned with the analysis and implementation of robust finite element approximation methods for mixed formulations of linear elasticity problems where the elastic s…
Collocation Methods for Exploring Perturbations in Linear Stability Analysis
Howard C. Elman, David J. Silvester
Eigenvalue analysis is a well-established tool for stability analysis of dynamical systems. However, there are situations where eigenvalues miss some important features of physical…