9 citations · 14 across the 11 of their papers we have counts for
5 papers · 1 filter
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…