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Powell, Catherine Elizabeth

Author ID: powell.catherine-elizabeth Recent zbMATH articles by "Powell, Catherine Elizabeth"
Published as: Powell, Catherine E.; Powell, C. E.; Powell, Catherine Elizabeth; Powell, Catherine
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

Publications by Year

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 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