Dr Catherine Powell - publications


List of publications


  • Powell C, Ullmann E. Solving Log-Transformed Random Diffusion Problems by Stochastic Galerkin Mixed Finite Element Methods. S I A M / A S A Journal on Uncertainty Quantification. 2015 July; 3(1): 509-534. eScholarID:280388 | DOI:10.1137/14100097X


  • Gabriel Lord, Catherine E. Powell, Tony Shardlow. An Introduction to Computational Stochastic PDEs. Cambridge University Press:2014. eScholarID:241869
  • Alex Bespalov, Catherine E. Powell, David Silvester. Energy Norm A Posteriori Error Estimation for Parametric Operator Equations. S I A M Journal on Scientific Computing. 2014 March; eScholarID:221309
  • Gordon A, Powell C. A Preconditioner for Fictitious Domain Formulations of Elliptic PDEs on Uncertain Parameterized Domains. 2014 November; 2(1): 622-645. eScholarID:241880 | DOI:10.1137/130924202


  • Alex Bespalov, Catherine Powell, David Silvester. A Priori Error Analysis of Stochastic Galerkin Mixed Approximations of Elliptic PDEs with Random Data. SIAM Journal on Numerical Analysis. 2012 August; 50(4): 2039-2063. eScholarID:167177 | DOI:10.1137/110854898
  • Alex Bespalov, Catherine Powell, David Silvester. A framework for the development of implicit solvers for incompressible flow problems. Discrete and Continuous Dynamical Systems - Series S. 2012 December; 5(6): 1195-1221. eScholarID:167178 | DOI:10.3934/dcdss.2012.5.1195
  • Catherine E. Powell, David Silvester. Preconditioning steady-state Navier-Stokes equations with random data. SIAM Journal on Scientific Computing. 2012 September; 34(5): eScholarID:169993 | DOI:10.1137/120870578


  • Andrew D Gordon, Catherine E Powell. On Solving Stochastic Collocation Systems with Algebraic Multigrid. IMA Journal of Numerical Analysis. 2011 October; eScholarID:140670 | DOI:doi: 10.1093/imanum/drr034


  • Catherine Powell, Elisabeth Ullmann. Preconditioning Stochastic Galerkin Saddle Point Systems. Siam Journal on Matrix Analysis. 2010; 31(5): 2813-2840. eScholarID:94771 | DOI:10.1137/090777797
  • Andrew Gordon, Catherine Powell. Solving Stochastic Collocation Systems with Algebraic Multigrid. Numerical Mathematics and Advanced Applications. Springer. 2010; 377-386. eScholarID:94784 | DOI:10.1007/978-3-642-11795-4_40


  • Catherine Powell, Howard Elman. Block-diagonal preconditioning for spectral stochastic finite element systems. Ima Journal of Numerical Analysis. 2009 April; 29(2): 350-375. eScholarID:15431 | DOI:10.1093/imanum/drn014
  • Oliver Ernst, Catherine Powell, David Silvester and Elisabeth Ullmann. Efficient Solvers for a Linear Stochastic Galerkin Mixed Formulation of Diffusion Problems with Random Data. SIAMJournal of Scientific Computing. 2009; 31(2): 1424-1447. eScholarID:15457 | DOI:10.1137/070705817
  • Darran Furnival, Howard Elman, Catherine Powell. H(div) Preconditioning for a Mixed Finite Element Formulation of the diffusion problem with random data. Mathematics of Computation. 2009; 79(270): . eScholarID:15470 | DOI:10.1090/S0025-5718-09-02274-1


  • Powell, Catherine E, and David J Silvester. PIFISS. Potential (Incompressible) Flow & Iterative Solution Software Guide. Manchester: MIMS Manchester Institute of Mathematical Sciences: 2007. eScholarID:15418


  • Powell, Catherine E. Robust Preconditioning for Second-Order Elliptic PDEs with Random Field Coefficients. Manchester: MIMS Manchester Institute of Mathematical Sciences: 2006. eScholarID:15414


  • POWELL CE; M SOLEIMANI; N POLYDORIDES. Improving the forward solver for the complete electrode model in EIT using algebraic multigrid. IEEE Transactions on Medical Imaging. 2005 May; 24(5): 577-584. eScholarID:1a9461 | DOI:10.1109/TMI.2005.843741
  • POWELL CE. Parameter-free H(div) preconditioning for a mixed finite element formulation of diffusion problems. IMA Journal of Numerical Analysis. 2005 March; 25(4): 783-796. eScholarID:1a9462 | DOI:10.1093/imanum/dri017


  • Catherine Powell, David Silvester. Black-box Preconditioning for Self-Adjoint Elliptic PDEs. Lecture Notes in Computational Science and Engineering. 2003; 35: eScholarID:15382
  • Optimal preconditioning for Raviart-Thomas mixed formulation of second order elliptic problems. SIAM Journal of Matrix Analysis. 2003; 25(3): 718-738. eScholarID:1a5311

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