Edit Profile (opens in new tab) Powell, Catherine Elizabeth Co-Author Distance Author ID: powell.catherine-elizabeth Published as: Powell, Catherine E.; Powell, C. E.; Powell, Catherine Elizabeth; Powell, Catherine more...less Documents Indexed: 31 Publications since 2003, including 1 Book and 5 Additional arXiv Preprints Co-Authors: 21 Co-Authors with 30 Joint Publications 446 Co-Co-Authors all top 5 Co-Authors 1 single-authored 14 Silvester, David J. 5 Bespalov, Alexei 5 Khan, Arbaz 4 Elman, Howard C. 4 Ullmann, Elisabeth 3 Gordon, Andrew D. 2 Crowder, Adam J. 2 Lee, Dongeun 2 Lee, Kookjin 1 Cotter, Simon L. 1 Ernst, Oliver G. 1 Furnival, Darran G. 1 Kent, Benjamin M. 1 Lord, Gabriel James 1 Newsum, Craig J. 1 Papanikos, Georgios 1 Rynn, James 1 Shardlow, Tony 1 Simoncini, Valeria 1 Wright, Louise 1 Zimoń, Małgorzata J. all top 5 Serials 7 SIAM Journal on Scientific Computing 3 IMA Journal of Numerical Analysis 3 SIAM Journal on Matrix Analysis and Applications 3 SIAM/ASA Journal on Uncertainty Quantification 2 Mathematics of Computation 2 Journal of Scientific Computing 1 BIT 1 SIAM Journal on Numerical Analysis 1 Discrete and Continuous Dynamical Systems. Series S 1 Cambridge Texts in Applied Mathematics all top 5 Fields 27 Numerical analysis (65-XX) 22 Partial differential equations (35-XX) 13 Probability theory and stochastic processes (60-XX) 3 Mechanics of deformable solids (74-XX) 3 Fluid mechanics (76-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 21 Publications have been cited 493 times in 376 Documents Cited by ▼ Year ▼ An introduction to computational stochastic PDEs. Zbl 1327.60011 Lord, Gabriel J.; Powell, Catherine E.; Shardlow, Tony 238 2014 Block-diagonal preconditioning for spectral stochastic finite-element systems. Zbl 1169.65007 Powell, Catherine E.; Elman, Howard C. 74 2009 Energy norm A posteriori error estimation for parametric operator equations. Zbl 1294.35199 Bespalov, Alex; Powell, Catherine E.; Silvester, David 25 2014 Efficient solvers for a linear stochastic Galerkin mixed formulation of diffusion problems with random data. Zbl 1187.35298 Ernst, O. G.; Powell, C. E.; Silvester, D. J.; Ullmann, E. 24 2009 An efficient reduced basis solver for stochastic Galerkin matrix equations. Zbl 1381.35257 Powell, C. E.; Silvester, D.; Simoncini, V. 22 2017 Optimal preconditioning for Raviart-Thomas mixed formulation of second-order elliptic problems. Zbl 1073.65128 Powell, Catherine Elizabeth; Silvester, David 21 2004 Preconditioning steady-state Navier-Stokes equations with random data. Zbl 1256.35216 Powell, Catherine E.; Silvester, David J. 16 2012 Efficient adaptive multilevel stochastic Galerkin approximation using implicit a posteriori error estimation. Zbl 1420.65120 Crowder, Adam J.; Powell, Catherine E.; Bespalov, Alex 12 2019 A priori error analysis of stochastic Galerkin mixed approximations of elliptic PDEs with random data. Zbl 1253.35228 Bespalov, Alexei; Powell, Catherine E.; Silvester, David 11 2012 Preconditioning stochastic Galerkin saddle point systems. Zbl 1216.65010 Powell, Catherine E.; Ullmann, Elisabeth 10 2010 \(H(\text{div})\) preconditioning for a mixed finite element formulation of the diffusion problem with random data. Zbl 1216.65155 Elman, Howard C.; Furnival, Darran G.; Powell, Catherine E. 7 2010 On solving stochastic collocation systems with algebraic multigrid. Zbl 1248.65007 Gordon, Andrew D.; Powell, Catherine E. 5 2012 Robust a posteriori error estimation for parameter-dependent linear elasticity equations. Zbl 1456.65162 Khan, Arbaz; Bespalov, Alex; Powell, Catherine E.; Silvester, David J. 5 2021 Robust preconditioning for stochastic Galerkin formulations of parameter-dependent nearly incompressible elasticity equations. Zbl 1428.65087 Khan, Arbaz; Powell, Catherine E.; Silvester, David J. 5 2019 CBS constants & their role in error estimation for stochastic Galerkin finite element methods. Zbl 1404.65257 Crowder, Adam J.; Powell, Catherine E. 5 2018 Parameter-free \(H(div)\) preconditioning for a mixed finite element formulation of diffusion problems. Zbl 1083.65046 Powell, Catherine E. 4 2005 Efficient reduced basis methods for saddle point problems with applications in groundwater flow. Zbl 1398.65282 Newsum, Craig J.; Powell, Catherine E. 2 2017 Black-box preconditioning for mixed formulation of self-adjoint elliptic PDEs. Zbl 1045.65106 Powell, Catherine; Silvester, David 2 2003 Solving log-transformed random diffusion problems by stochastic Galerkin mixed finite element methods. Zbl 1325.65018 Ullmann, Elisabeth; Powell, Catherine E. 2 2015 A framework for the development of implicit solvers for incompressible flow problems. Zbl 1426.76308 Silvester, David J.; Bespalov, Alex; Powell, Catherine E. 2 2012 A preconditioner for fictitious domain formulations of elliptic PDEs on uncertain parameterized domains. Zbl 1307.65010 Gordon, Andrew; Powell, Catherine E. 1 2014 Robust a posteriori error estimation for parameter-dependent linear elasticity equations. Zbl 1456.65162 Khan, Arbaz; Bespalov, Alex; Powell, Catherine E.; Silvester, David J. 5 2021 Efficient adaptive multilevel stochastic Galerkin approximation using implicit a posteriori error estimation. Zbl 1420.65120 Crowder, Adam J.; Powell, Catherine E.; Bespalov, Alex 12 2019 Robust preconditioning for stochastic Galerkin formulations of parameter-dependent nearly incompressible elasticity equations. Zbl 1428.65087 Khan, Arbaz; Powell, Catherine E.; Silvester, David J. 5 2019 CBS constants & their role in error estimation for stochastic Galerkin finite element methods. Zbl 1404.65257 Crowder, Adam J.; Powell, Catherine E. 5 2018 An efficient reduced basis solver for stochastic Galerkin matrix equations. Zbl 1381.35257 Powell, C. E.; Silvester, D.; Simoncini, V. 22 2017 Efficient reduced basis methods for saddle point problems with applications in groundwater flow. Zbl 1398.65282 Newsum, Craig J.; Powell, Catherine E. 2 2017 Solving log-transformed random diffusion problems by stochastic Galerkin mixed finite element methods. Zbl 1325.65018 Ullmann, Elisabeth; Powell, Catherine E. 2 2015 An introduction to computational stochastic PDEs. Zbl 1327.60011 Lord, Gabriel J.; Powell, Catherine E.; Shardlow, Tony 238 2014 Energy norm A posteriori error estimation for parametric operator equations. Zbl 1294.35199 Bespalov, Alex; Powell, Catherine E.; Silvester, David 25 2014 A preconditioner for fictitious domain formulations of elliptic PDEs on uncertain parameterized domains. Zbl 1307.65010 Gordon, Andrew; Powell, Catherine E. 1 2014 Preconditioning steady-state Navier-Stokes equations with random data. Zbl 1256.35216 Powell, Catherine E.; Silvester, David J. 16 2012 A priori error analysis of stochastic Galerkin mixed approximations of elliptic PDEs with random data. Zbl 1253.35228 Bespalov, Alexei; Powell, Catherine E.; Silvester, David 11 2012 On solving stochastic collocation systems with algebraic multigrid. Zbl 1248.65007 Gordon, Andrew D.; Powell, Catherine E. 5 2012 A framework for the development of implicit solvers for incompressible flow problems. Zbl 1426.76308 Silvester, David J.; Bespalov, Alex; Powell, Catherine E. 2 2012 Preconditioning stochastic Galerkin saddle point systems. Zbl 1216.65010 Powell, Catherine E.; Ullmann, Elisabeth 10 2010 \(H(\text{div})\) preconditioning for a mixed finite element formulation of the diffusion problem with random data. Zbl 1216.65155 Elman, Howard C.; Furnival, Darran G.; Powell, Catherine E. 7 2010 Block-diagonal preconditioning for spectral stochastic finite-element systems. Zbl 1169.65007 Powell, Catherine E.; Elman, Howard C. 74 2009 Efficient solvers for a linear stochastic Galerkin mixed formulation of diffusion problems with random data. Zbl 1187.35298 Ernst, O. G.; Powell, C. E.; Silvester, D. J.; Ullmann, E. 24 2009 Parameter-free \(H(div)\) preconditioning for a mixed finite element formulation of diffusion problems. Zbl 1083.65046 Powell, Catherine E. 4 2005 Optimal preconditioning for Raviart-Thomas mixed formulation of second-order elliptic problems. Zbl 1073.65128 Powell, Catherine Elizabeth; Silvester, David 21 2004 Black-box preconditioning for mixed formulation of self-adjoint elliptic PDEs. Zbl 1045.65106 Powell, Catherine; Silvester, David 2 2003 all cited Publications top 5 cited Publications all top 5 Cited by 633 Authors 14 Cortés López, Juan Carlos 12 Bespalov, Alexei 12 Scheichl, Robert 12 Silvester, David J. 11 Elman, Howard C. 11 Powell, Catherine Elizabeth 10 Calatayud, Julia 10 Jornet, Marc 9 Eigel, Martin 8 Graham, Ivan G. 8 Simoncini, Valeria 7 Sousedík, Bedřich 6 Feng, Xiaobing 6 Khan, Akhtar Ali 6 Lee, Kookjin 6 Liao, Qifeng 6 Nobile, Fabio 6 Sama, Miguel 5 Benner, Peter 5 Palitta, Davide 5 Schneider, Reinhold 5 Singh, Soumyendra 5 Stoll, Martin 5 Subber, Waad 5 Ullmann, Elisabeth 5 Wang, Xiaojie 4 Bréhier, Charles-Edouard 4 Fang, Zhiwei 4 Geiersbach, Caroline 4 Gunzburger, Max D. 4 Jadamba, Baasansuren 4 Kuo, Frances Y. 4 Li, Jichun 4 Li, Yukun 4 Lin, Guang 4 Lin, Junshan 4 Loisel, Sébastien 4 Nuyens, Dirk 4 Onwunta, Akwum 4 Petersson, Andreas 4 Pultarová, Ivana 4 Qi, Ruisheng 4 Rocchi, Leonardo 4 Sloan, Ian Hugh 4 Thalhammer, Andreas 3 Altmeyer, Randolf 3 Audouze, Christophe 3 Blömker, Dirk 3 Chada, Neil K. 3 Dolgov, Sergey V. 3 Gan, Siqing 3 Girolami, Mark A. 3 Khan, Arbaz 3 Kühn, Christian 3 Kürschner, Patrick 3 Lang, Annika 3 Lord, Gabriel James 3 Lorton, Cody 3 Luo, Xianbing 3 Martínez-Frutos, Jesús 3 Nair, Prasanth B. 3 Navarro Quiles, Ana 3 Neumann, Johannes 3 Pivovarov, Dmytro 3 Praetorius, Dirk 3 Ruggeri, Michele 3 Saha Ray, Santanu 3 Schillings, Claudia 3 Steinmann, Paul 3 Su, Tengfei 3 Uchida, Masayuki 3 Wang, Hong 3 Webster, Clayton G. 3 Wohlmuth, Barbara I. 3 Xu, Feng 3 Yang, Xu 3 Yücel, Hamdullah 3 Zhang, Guannan 3 Zhao, Weidong 3 Zouraris, Georgios E. 2 Aulisa, Eugenio 2 Avitabile, Daniele 2 Bachmayr, Markus 2 Barth, Andrea 2 Beck, Joakim 2 Bevia, Vicente J. 2 Çiloğlu, Pelin 2 Cliffe, K. Andrew 2 Cockayne, Jon 2 Crowder, Adam J. 2 Djurdjevac, Ana 2 Elsakout, D. M. 2 Ernst, Oliver G. 2 Ge, Liang 2 Goubet, Olivier 2 Hakula, Harri 2 Henning, Julian 2 Henscheid, Nick 2 Herrero-Pérez, David 2 Hou, Lisheng ...and 533 more Authors all top 5 Cited in 113 Serials 31 SIAM/ASA Journal on Uncertainty Quantification 28 Computer Methods in Applied Mechanics and Engineering 28 SIAM Journal on Scientific Computing 17 Journal of Computational Physics 17 Journal of Scientific Computing 15 SIAM Journal on Numerical Analysis 11 Journal of Computational and Applied Mathematics 8 Numerische Mathematik 7 Computers & Mathematics with Applications 7 BIT 7 Stochastic and Partial Differential Equations. Analysis and Computations 6 Mathematics of Computation 6 Applied Numerical Mathematics 6 Numerical Algorithms 5 Applied Mathematics and Computation 5 Numerical Methods for Partial Differential Equations 5 SIAM Journal on Matrix Analysis and Applications 5 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 4 Inverse Problems 4 Chaos, Solitons and Fractals 4 Linear Algebra and its Applications 4 Numerical Linear Algebra with Applications 4 Computational and Applied Mathematics 4 Advances in Computational Mathematics 4 Multiscale Modeling & Simulation 4 Communications in Computational Physics 3 Mathematical Methods in the Applied Sciences 3 Computational Mechanics 3 Applied Mathematics Letters 3 The Annals of Applied Probability 3 Applications of Mathematics 3 International Journal of Computer Mathematics 3 SIAM Review 3 Stochastic Processes and their Applications 3 Mathematical Biosciences and Engineering 2 Journal of Fluid Mechanics 2 Bulletin of Mathematical Biology 2 International Journal for Numerical Methods in Engineering 2 Mathematics and Computers in Simulation 2 Stochastic Analysis and Applications 2 Physica D 2 SIAM Journal on Optimization 2 Advances in Engineering Software 2 Electronic Journal of Differential Equations (EJDE) 2 Computational Geosciences 2 International Journal of Nonlinear Sciences and Numerical Simulation 2 Computational Methods in Applied Mathematics 2 International Journal of Biomathematics 2 SMAI Journal of Computational Mathematics 1 Acta Mechanica 1 Applicable Analysis 1 Computers and Fluids 1 International Journal of Engineering Science 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal of Engineering Mathematics 1 Journal of Mathematical Analysis and Applications 1 Journal of Mathematical Biology 1 Physica A 1 Scandinavian Journal of Statistics 1 Calcolo 1 Journal of the American Statistical Association 1 Journal of Differential Equations 1 Journal of Optimization Theory and Applications 1 Mathematische Nachrichten 1 Osaka Journal of Mathematics 1 Journal of Time Series Analysis 1 Journal of Complexity 1 Constructive Approximation 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Annals of Physics 1 Journal of Nonlinear Science 1 Potential Analysis 1 Computational Optimization and Applications 1 Applicationes Mathematicae 1 Random Operators and Stochastic Equations 1 Journal of Convex Analysis 1 Engineering Analysis with Boundary Elements 1 Bernoulli 1 Computing and Visualization in Science 1 Vietnam Journal of Mathematics 1 Journal of Mathematical Study 1 Statistical Inference for Stochastic Processes 1 Communications in Nonlinear Science and Numerical Simulation 1 Nonlinear Analysis. Real World Applications 1 Discrete and Continuous Dynamical Systems. Series B 1 Advanced Nonlinear Studies 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Journal of Numerical Mathematics 1 Journal of Applied Mathematics and Computing 1 SIAM Journal on Applied Dynamical Systems 1 International Journal of Wavelets, Multiresolution and Information Processing 1 Acta Numerica 1 Advances in Difference Equations 1 International Journal of Numerical Analysis and Modeling 1 Oberwolfach Reports 1 Stochastics 1 GAMM-Mitteilungen 1 Communications in Applied Mathematics and Computational Science 1 Electronic Journal of Statistics 1 Discrete and Continuous Dynamical Systems. Series S ...and 13 more Serials all top 5 Cited in 35 Fields 290 Numerical analysis (65-XX) 190 Partial differential equations (35-XX) 178 Probability theory and stochastic processes (60-XX) 43 Fluid mechanics (76-XX) 33 Statistics (62-XX) 30 Mechanics of deformable solids (74-XX) 23 Calculus of variations and optimal control; optimization (49-XX) 15 Biology and other natural sciences (92-XX) 14 Ordinary differential equations (34-XX) 12 Linear and multilinear algebra; matrix theory (15-XX) 12 Operator theory (47-XX) 10 Systems theory; control (93-XX) 8 Dynamical systems and ergodic theory (37-XX) 8 Computer science (68-XX) 6 Approximations and expansions (41-XX) 6 Optics, electromagnetic theory (78-XX) 5 Geophysics (86-XX) 4 Real functions (26-XX) 4 Functional analysis (46-XX) 4 Quantum theory (81-XX) 3 Functions of a complex variable (30-XX) 3 Integral equations (45-XX) 3 Statistical mechanics, structure of matter (82-XX) 3 Operations research, mathematical programming (90-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Measure and integration (28-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Differential geometry (53-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 General and overarching topics; collections (00-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Information and communication theory, circuits (94-XX) 1 Mathematics education (97-XX) Citations by Year