9 citations · 14 across the 11 of their papers we have counts for
11 papers · 1 filter
A class of low-rank short recurrences for nonsymmetric linear matrix equations
Davide Palitta, Catherine E. Powell, Valeria Simoncini
We propose a new class of short matrix recurrences for the solution of nonsymmetric linear equations of the type $\mathbf{A}_1\mathbf{X}\mathbf{B}_1+\ldots+\mathbf{A}_p\mathbf{X}\m…
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…
Alternating Energy Minimization Methods for Multi-term Matrix Equations
Kookjin Lee, Howard C. Elman, Catherine E. Powell +1
We develop computational methods for approximating the solution of a linear multi-term matrix equation in low rank. We follow an alternating minimization framework, where the solut…
Parameter-robust Stochastic Galerkin mixed approximation for linear poroelasticity with uncertain inputs
Arbaz Khan, Catherine E. Powell
Linear poroelasticity models have a number of important applications in biology and geophysics. In particular, Biot's consolidation model is a well-known model that describes the c…
Surrogate Accelerated Bayesian Inversion for the Determination of the Thermal Diffusivity of a Material
James Rynn, Simon Cotter, Catherine E Powell +1
Determination of the thermal properties of a material is an important task in many scientific and engineering applications. How a material behaves when subjected to high or fluctua…
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…
Efficient adaptive multilevel stochastic Galerkin approximation using implicit a posteriori error estimation
Adam J. Crowder, Catherine E. Powell, Alex Bespalov
Partial differential equations (PDEs) with inputs that depend on infinitely many parameters pose serious theoretical and computational challenges. Sophisticated numerical algorithm…
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…