Optimal Preconditioning for Raviart-Thomas Mixed Formulation of Second-Order Elliptic Problems. - Catherine Elizabeth Powell; David J. Silvester (SIAM J. Matrix Anal. Appl., 2003)

Improving the forward solver for the complete electrode model in EIT using algebraic multigrid. - Manuchehr Soleimani; Catherine E. Powell; Nicholas Polydorides (IEEE Trans. Medical Imaging, 2005)

Efficient Solvers for a Linear Stochastic Galerkin Mixed Formulation of Diffusion Problems with Random Data. - Oliver G. Ernst; Catherine Elizabeth Powell; David J. Silvester; Elisabeth Ullmann (SIAM J. Sci. Comput., 2009)

H(div) preconditioning for a mixed finite element formulation of the diffusion problem with random data. - Howard C. Elman; Darran G. Furnival; Catherine E. Powell (Math. Comput., 2010)

Preconditioning Stochastic Galerkin Saddle Point Systems. - Catherine Elizabeth Powell; Elisabeth Ullmann (SIAM J. Matrix Anal. Appl., 2010)

A Priori Error Analysis of Stochastic Galerkin Mixed Approximations of Elliptic PDEs with Random Data. - Alexei Bespalov; Catherine Elizabeth Powell; David J. Silvester (SIAM J. Numer. Anal., 2012)

Preconditioning Steady-State Navier-Stokes Equations with Random Data. - Catherine Elizabeth Powell; David J. Silvester (SIAM J. Sci. Comput., 2012)

A Preconditioner for Fictitious Domain Formulations of Elliptic PDEs on Uncertain Parameterized Domains. - Andrew Gordon; Catherine E. Powell (SIAM/ASA J. Uncertain. Quantification, 2014)

Erratum: Preconditioning Stochastic Galerkin Saddle Point Systems. - Catherine Elizabeth Powell; Elisabeth Ullmann (SIAM J. Matrix Anal. Appl., 2014)

Energy Norm A Posteriori Error Estimation for Parametric Operator Equations. - Alexei Bespalov; Catherine Elizabeth Powell; David J. Silvester (SIAM J. Sci. Comput., 2014)

Solving Log-Transformed Random Diffusion Problems by Stochastic Galerkin Mixed Finite Element Methods. - Elisabeth Ullmann; Catherine E. Powell (SIAM/ASA J. Uncertain. Quantification, 2015)

Efficient Reduced Basis Methods for Saddle Point Problems with Applications in Groundwater Flow. - Craig J. Newsum; Catherine E. Powell (SIAM/ASA J. Uncertain. Quantification, 2017)

An Efficient Reduced Basis Solver for Stochastic Galerkin Matrix Equations. - Catherine Elizabeth Powell; David J. Silvester; Valeria Simoncini (SIAM J. Sci. Comput., 2017)

CBS Constants & Their Role in Error Estimation for Stochastic Galerkin Finite Element Methods. - Adam J. Crowder; Catherine E. Powell (J. Sci. Comput., 2018)

Efficient Adaptive Multilevel Stochastic Galerkin Approximation Using Implicit A Posteriori Error Estimation. - Adam J. Crowder; Catherine E. Powell; Alexei Bespalov (SIAM J. Sci. Comput., 2019)

Robust Preconditioning for Stochastic Galerkin Formulations of Parameter-Dependent Nearly Incompressible Elasticity Equations. - Arbaz Khan; Catherine E. Powell; David J. Silvester (SIAM J. Sci. Comput., 2019)

A Locally Adaptive Bayesian Cubature Method. - Matthew Fisher; Chris J. Oates; Catherine E. Powell; Aretha L. Teckentrup (AISTATS, 2020)

Alternating Energy Minimization Methods for Multi-term Matrix Equations. - Kookjin Lee; Howard C. Elman; Catherine E. Powell; Dongeun Lee 001 (CoRR, 2020)

Robust a posteriori error estimation for parameter-dependent linear elasticity equations. - Arbaz Khan; Alex Bespalov; Catherine E. Powell; David J. Silvester (Math. Comput., 2021)

Parameter-Robust Stochastic Galerkin Mixed Approximation for Linear Poroelasticity with Uncertain Inputs. - Arbaz Khan; Catherine E. Powell (SIAM J. Sci. Comput., 2021)

Efficient Adaptive Stochastic Collocation Strategies for Advection-Diffusion Problems with Uncertain Inputs. - Benjamin M. Kent; Catherine E. Powell; David J. Silvester; Malgorzata J. Zimon (J. Sci. Comput., 2023)

IFISS3D: A Computational Laboratory for Investigating Finite Element Approximation in Three Dimensions. - Georgios Papanikos; Catherine E. Powell; David J. Silvester (ACM Trans. Math. Softw., 2023)