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Wathen, Andrew John

Author ID: wathen.andrew-j Recent zbMATH articles by "Wathen, Andrew John"
Published as: Wathen, Andrew J.; Wathen, A. J.; Wathen, Andy; Wathen, Andrew; Wathen, A.; Wathen, Andy J.
Homepage: https://www.maths.ox.ac.uk/people/andy.wathen
External Links: MGP · Wikidata · dblp
Videos: carmin.tv
all top 5

Co-Authors

13 single-authored
15 Silvester, David J.
8 Elman, Howard C.
8 Pestana, Jennifer
8 Stoll, Martin
7 Loghin, Daniel
7 Ramage, Alison
6 Dollar, H. Sue
5 Baines, Michael J.
5 Fischer, Bernd
5 Gould, Nicholas Ian Mark
5 Pearson, John W.
4 Kay, David A.
4 Madzvamuse, Anotida
4 Maini, Philip Kumar
4 Rees, Tyrone
3 Duff, Iain S.
3 Golub, Gene Howard
3 Hon, Sean Y.
3 McDonald, Eleanor
3 Zhu, Shengxin
2 Bootland, Niall
2 Budd, Christopher John
2 Danieli, Federico
2 Humphries, Antony R.
2 Jönsthövel, Tom B.
2 Katz, Richard F.
2 Lemon, Christopher
2 Rhebergen, Sander
2 Roy, Thomas
2 Schilders, Wil H. A.
2 Wells, Garth N.
1 Arioli, Mario
1 Armand, Paul
1 Axelsson, Axel Owe Holger
1 Bai, Zhongzhi
1 Bentley, Alistair
1 Benzi, Michele
1 Blank, Henrik
1 Bosch, Jessica
1 Ferris, Michael C.
1 Han, Zongyuan
1 Heidel, Gennadij
1 Hemmingsson-Frändén, Lina
1 Herrero, Henar
1 Holland, Ruth M.
1 Huang, Yixuan
1 Huang, Yuguang
1 Jimack, Peter K.
1 Johnson, I. W.
1 Kees, Christopher E.
1 Keller, Carsten
1 Le Gia, Quoc Thong
1 Lee, Han-Chow
1 Legat, Vincent
1 Li, Lei
1 Li, Wenhao
1 Lin, Xuelei
1 Loach, P. D.
1 Melchior, Samuel A.
1 Morton, Keith William
1 Murphy, Malcolm F.
1 Nafa, Kamel
1 Navarro, Maria C.
1 Ng, Micheal K.
1 Papadopoulos, A. T.
1 Robinson, Peter D.
1 Rudgyard, Michael
1 Saad, Yousef
1 Sekimura, Toshio
1 Selwood, P. M.
1 Serra-Capizzano, Stefano
1 Shaw, Gareth J.
1 Shen, Jianhong
1 Sloan, Ian Hugh
1 Southworth, Ben S.
1 Strang, William Gilbert
1 Süli, Endre E.
1 Tang, Tao
1 Tang, Wei-Pai
1 Thomas, Roger D. K.
1 Titley-Péloquin, David
1 Trefethen, Lloyd Nicholas
1 Van der Vorst, Henk Albertus
1 Van Dooren, Paul M.

Publications by Year

Citations contained in zbMATH Open

103 Publications have been cited 3,812 times in 2,062 Documents Cited by Year
Finite elements and fast iterative solvers: with applications in incompressible fluid dynamics. Zbl 1083.76001
Elman, Howard C.; Silvester, David J.; Wathen, Andrew J.
466
2005
Finite elements and fast iterative solvers. With applications in incompressible fluid dynamics. 2nd ed. Zbl 1304.76002
Elman, Howard C.; Silvester, David J.; Wathen, Andrew J.
375
2014
A note on preconditioning for indefinite linear systems. Zbl 0959.65063
Murphy, Malcolm F.; Golub, Gene H.; Wathen, Andrew J.
269
2000
Constraint preconditioning for indefinite linear systems. Zbl 0960.65052
Keller, Carsten; Gould, Nicholas I. M.; Wathen, Andrew J.
181
2000
Fast iterative solution of stabilised Stokes systems. II: Using general block preconditioners. Zbl 0810.76044
Silvester, David; Wathen, Andrew
180
1994
A new approximation of the Schur complement in preconditioners for PDE-constrained optimization. Zbl 1274.65187
Pearson, John W.; Wathen, Andrew J.
121
2012
Optimal solvers for PDE-constrained optimization. Zbl 1208.49035
Rees, Tyrone; Dollar, H. Sue; Wathen, Andrew J.
121
2010
Preconditioning. Zbl 1316.65039
Wathen, A. J.
117
2015
Performance and analysis of saddle point preconditioners for the discrete steady-state Navier-Stokes equations. Zbl 1143.76531
Elman, Howard C.; Silvester, David J.; Wathen, Andrew J.
108
2002
A preconditioner for the steady-state Navier–Stokes equations. Zbl 1013.65039
Kay, David; Loghin, Daniel; Wathen, Andrew
104
2002
Minimum residual methods for augmented systems. Zbl 0914.65026
Fischer, B.; Ramage, A.; Silvester, D. J.; Wathen, A. J.
99
1998
Fast iterative solution of stabilised Stokes systems. I: Using simple diagonal preconditions. Zbl 0776.76024
Wathen, Andrew; Silvester, David
97
1993
Realistic eigenvalue bounds for the Galerkin mass matrix. Zbl 0648.65076
Wathen, A. J.
86
1987
Efficient preconditioning of the linearized Navier-Stokes equations for incompressible flow. Zbl 0983.76051
Silvester, David; Elman, Howard; Kay, David; Wathen, Andrew
78
2001
Regularization-robust preconditioners for time-dependent PDE-constrained optimization problems. Zbl 1263.65035
Pearson, John W.; Stoll, Martin; Wathen, Andrew J.
69
2012
Analysis of preconditioners for saddle-point problems. Zbl 1067.65048
Loghin, D.; Wathen, A. J.
60
2004
A moving grid finite element method applied to a model biological pattern generator. Zbl 1029.65113
Madzvamuse, Anotida; Wathen, Andrew J.; Maini, Philip K.
59
2003
Chebyshev semi-iteration in preconditioning for problems including the mass matrix. Zbl 1189.65065
Wathen, Andy; Rees, Tyrone
58
2009
An iteration for indefinite systems and its application to the Navier-Stokes equations. Zbl 0912.76053
Golub, Gene H.; Wathen, Andrew J.
57
1998
Preconditioning and iterative solution of all-at-once systems for evolutionary partial differential equations. Zbl 1392.65036
McDonald, Eleanor; Pestana, Jennifer; Wathen, Andy
52
2018
Natural preconditioning and iterative methods for saddle point systems. Zbl 1338.65078
Pestana, Jennifer; Wathen, Andrew J.
47
2015
Approximate factorization constraint preconditioners for saddle-point matrices. Zbl 1105.65047
Dollar, H. S.; Wathen, A. J.
45
2006
A moving grid finite element method for the simulation of pattern generation by Turing models on growing domains. Zbl 1080.65091
Madzvamuse, Anotida; Maini, Philip K.; Wathen, Andrew J.
37
2005
Some preconditiong techniques for saddle point problems. Zbl 1152.65425
Benzi, Michele; Wathen, Andrew J.
34
2008
Preconditioners for state-constrained optimal control problems with Moreau-Yosida penalty function. Zbl 1324.49026
Pearson, John W.; Stoll, Martin; Wathen, Andrew J.
33
2014
Fast iterative solvers for convection-diffusion control problems. Zbl 1287.49031
Pearson, John W.; Wathen, Andrew J.
33
2013
All-at-once preconditioning in PDE-constrained optimization. Zbl 1195.65083
Rees, Tyrone; Stoll, Martin; Wathen, Andy
29
2010
A preconditioned MINRES method for nonsymmetric Toeplitz matrices. Zbl 1315.65034
Pestana, J.; Wathen, A. J.
28
2015
Stopping criteria for iterations in finite element methods. Zbl 1069.65124
Arioli, M.; Loghin, D.; Wathen, A. J.
28
2005
Combination preconditioning and the Bramble-Pasciak\(^{+}\) preconditioner. Zbl 1167.65358
Stoll, Martin; Wathen, Andy
28
2008
Implicit-factorization preconditioning and iterative solvers for regularized saddle-point systems. Zbl 1104.65310
Dollar, H. Sue; Gould, Nicholas I. M.; Schilders, Wil H. A.; Wathen, Andrew J.
26
2006
A class of incomplete orthogonal factorization methods. I: Methods and theories. Zbl 0990.65038
Bai, Zhongzhi; Duff, Iain S.; Wathen, Andrew J.
25
2001
Fast solvers for Cahn-Hilliard inpainting. Zbl 1298.68284
Bosch, Jessica; Kay, David; Stoll, Martin; Wathen, Andrew J.
25
2014
Preconditioning for partial differential equation constrained optimization with control constraints. Zbl 1274.65189
Stoll, Martin; Wathen, Andy
25
2012
Preconditioning iterative methods for the optimal control of the Stokes equations. Zbl 1300.49009
Rees, Tyrone; Wathen, Andrew J.
24
2011
A numerical approach to the study of spatial pattern formation in the ligaments of arcoid bivalves. Zbl 1334.92039
Madzvamuse, Anotida; Thomas, Roger D. K.; Maini, Philip K.; Wathen, Andrew J.
24
2002
Temporal derivatives in the finite-element method on continuously deforming grids. Zbl 0747.65083
Jimack, P. K.; Wathen, A. J.
22
1991
Iterative methods for problems in computational fluid dynamics. Zbl 0957.76071
Elman, Howard C.; Silvester, David J.; Wathen, Andrew J.
21
1997
Using constraint preconditioners with regularized saddle-point problems. Zbl 1124.65033
Dollar, H. S.; Gould, N. I. M.; Schilders, W. H. A.; Wathen, A. J.
20
2007
The convergence rate of the minimal residual method for the Stokes problem. Zbl 0837.65026
Wathen, Andrew; Fischer, Bernd; Silvester, David
18
1995
On parameter choice and iterative convergence for stabilised discretisations of advection-diffusion problems. Zbl 0977.76043
Fischer, B.; Ramage, A.; Silvester, D. J.; Wathen, A. J.
16
1999
Preconditioning techniques for Newton’s method for the incompressible Navier-Stokes equations. Zbl 1244.76023
Elman, H. C.; Loghin, D.; Wathen, A. J.
14
2003
Iterative solution techniques for the Stokes and Navier-Stokes equations. Zbl 0810.76042
Ramage, Alison; Wathen, Andrew J.
13
1994
An analysis of some element-by-element techniques. Zbl 0694.65013
Wathen, A. J.
13
1989
A block preconditioner for non-isothermal flow in porous media. Zbl 1452.65053
Roy, Thomas; Jönsthövel, Tom B.; Lemon, Christopher; Wathen, Andrew J.
13
2019
Preconditioning saddle-point systems with applications in optimization. Zbl 1209.65035
Dollar, H. Sue; Gould, Nicholas I. M.; Stoll, Martin; Wathen, Andrew J.
13
2010
Variational bounds on the entries of the inverse of a matrix. Zbl 0759.15016
Robinson, P. D.; Wathen, A. J.
12
1992
Moving finite element methods for evolutionary problems. II: Applications. Zbl 0665.65072
Johnson, I. W.; Wathen, A. J.; Baines, M. J.
12
1988
Preconditioning for nonsymmetry and time-dependence. Zbl 1367.65045
McDonald, Eleanor; Hon, Sean; Pestana, Jennifer; Wathen, Andy
12
2017
On spectral distribution of kernel matrices related to radial basis functions. Zbl 1356.45001
Wathen, Andrew J.; Zhu, Shengxin
12
2015
On the structure of the moving finite-element equations. Zbl 0583.65080
Wathen, A. J.; Baines, M. J.
11
1985
Sparse approximate inverses and target matrices. Zbl 1077.65044
Holland, Ruth M.; Wathen, Andy J.; Shaw, Gareth J.
11
2005
A constrained pressure-temperature residual (CPTR) method for non-isothermal multiphase flow in porous media. Zbl 1452.76101
Roy, Thomas; Jönsthövel, Tom B.; Lemon, Christopher; Wathen, Andrew J.
11
2020
Analysis of block preconditioners for models of coupled magma/mantle dynamics. Zbl 1299.86001
Rhebergen, Sander; Wells, Garth N.; Katz, Richard F.; Wathen, Andrew J.
11
2014
Preconditioning and convergence in the right norm. Zbl 1123.65033
Wathen, Andy
11
2007
Circulant preconditioners for analytic functions of Toeplitz matrices. Zbl 1404.65015
Hon, Sean; Wathen, Andrew
10
2018
On the choice of preconditioner for minimum residual methods for non-Hermitian matrices. Zbl 1285.65020
Pestana, Jennifer; Wathen, Andrew J.
10
2013
GMRES convergence bounds that depend on the right-hand-side vector. Zbl 1302.65083
Titley-Peloquin, David; Pestana, Jennifer; Wathen, Andrew J.
10
2014
The antitriangular factorization of saddle point matrices. Zbl 1385.65027
Pestana, J.; Wathen, A. J.
10
2014
Matching Schur complement approximations for certain saddle-point systems. Zbl 1405.65048
Pearson, John W.; Wathen, Andy
9
2018
Three-field block preconditioners for models of coupled magma/mantle dynamics. Zbl 1327.65055
Rhebergen, Sander; Wells, Garth N.; Wathen, Andrew J.; Katz, Richard F.
9
2015
A simple proposal for parallel computation over time of an evolutionary process with implicit time stepping. Zbl 1352.65360
McDonald, Eleanor; Wathen, Andy
9
2016
Preconditioning for boundary control problems in incompressible fluid dynamics. Zbl 1524.49034
Heidel, Gennadij; Wathen, Andy
8
2019
Moving finite element methods for evolutionary problems. I: Theory. Zbl 0665.65071
Baines, M. J.; Wathen, A. J.
8
1988
Local projection stabilized Galerkin approximations for the generalized Stokes problem. Zbl 1229.76054
Nafa, Kamel; Wathen, Andrew J.
8
2009
A class of incomplete orthogonal factorization methods. II: Implemetation and results. Zbl 1080.65028
Papadopoulos, A. T.; Duff, I. S.; Wathen, A. J.
8
2005
Approximation of the scattering amplitude and linear systems. Zbl 1188.65032
Golub, Gene H.; Stoll, Martin; Wathen, Andy
8
2008
Space-time block preconditioning for incompressible flow. Zbl 1482.65042
Danieli, Federico; Southworth, Ben S.; Wathen, Andrew J.
8
2022
Combination preconditioning of saddle point systems for positive definiteness. Zbl 1313.65052
Pestana, J.; Wathen, A. J.
8
2013
Schur complement preconditioners for the Navier-Stokes equations. Zbl 1061.76032
Loghin, D.; Wathen, A. J.
7
2002
Block preconditioners for the discrete incompressible Navier-Stokes equations. Zbl 1019.76023
Elman, Howard C.; Silvester, David J.; Wathen, Andrew J.
7
2002
A predictive model for color pattern formation in the butterfly wing of Papilio dardanus. Zbl 1007.92007
Madzvamuse, Anotida; Maini, Philip K.; Wathen, Andrew J.; Sekimura, Toshio
7
2002
The potential theory of several intervals and its applications. Zbl 0983.41006
Shen, J.; Strang, G.; Wathen, A. J.
7
2001
On implicit-factorization constraint preconditioners. Zbl 1108.65040
Dollar, H. Sue; Gould, Nicholas I. M.; Wathen, Andrew J.
7
2006
Preconditioners for two-phase incompressible Navier-Stokes flow. Zbl 1421.76161
Bootland, Niall; Bentley, Alistair; Kees, Christopher; Wathen, Andrew
7
2019
Band-Toeplitz preconditioners for ill-conditioned Toeplitz systems. Zbl 1498.65041
Hon, Sean; Serra-Capizzano, Stefano; Wathen, Andy
7
2022
On the best least squares approximation of continuous functions using linear splines with free knots. Zbl 0760.65009
Loach, P. D.; Wathen, A. J.
6
1991
Fast and robust solvers for time-discretised incompressible Navier-Stokes equations. Zbl 0851.76042
Silvester, D. J.; Wathen, A. J.
6
1996
Mesh-independent spectra in the moving finite element equations. Zbl 0613.65115
Wathen, A. J.
6
1986
Schur complement preconditioning for elliptic systems of partial differential equations. Zbl 1071.65146
Loghin, D.; Wathen, A. J.
6
2003
All-at-once solution of linear wave equations. Zbl 1549.65256
Danieli, Federico; Wathen, Andrew J.
6
2021
On preconditioning for finite element equations on irregular grids. Zbl 0807.65049
Ramage, Alison; Wathen, Andrew J.
5
1994
Moving finite element modelling of compressible flow. Zbl 0658.76068
Baines, M. J.; Wathen, A. J.
5
1986
Convexity and solvability for compactly supported radial basis functions with different shapes. Zbl 1320.65025
Zhu, Shengxin; Wathen, Andrew J.
5
2015
A new preconditioner for the Oseen equations. Zbl 1268.76036
Wathen, A.; Loghin, D.; Kay, D.; Elman, H.; Silvester, D.
5
2003
Analysis of preconditioned iterative solvers for incompressible flow problems. Zbl 1426.76290
Melchior, S. A.; Legat, V.; Van Dooren, P.; Wathen, A. J.
5
2012
On relaxation of Jacobi iteration for consistent and generalized mass matrices. Zbl 0724.65028
Wathen, A. J.
4
1991
Stability and preconditioning for a hybrid approximation on the sphere. Zbl 1223.65022
Le Gia, Q. T.; Sloan, I. H.; Wathen, Andrew J.
4
2011
The finite element approximation of semilinear elliptic partial differential equations with critical exponents in the cube. Zbl 0924.35049
Budd, C. J.; Humphries, A. R.; Wathen, A. J.
4
1999
The convergence of iterative solution methods for symmetric and indefinite linear systems. Zbl 0902.65012
Wathen, A. J.; Fischer, B.; Silvester, D. J.
4
1998
Limited memory solution of bound constrained convex quadratic problems arising in video games. Zbl 1377.90064
Ferris, Michael C.; Wathen, Andrew J.; Armand, Paul
4
2007
Stabilised finite element methods for steady incompressible flow. Zbl 0957.76025
Blank, Henrik; Rudgyard, Michael; Wathen, Andrew
3
1999
Efficient solution of a generalized eigenvalue problem arising in a thermoconvective instability. Zbl 1195.76322
Navarro, M. C.; Herrero, H.; Mancho, A. M.; Wathen, A.
3
2008
Spectral bounds and preconditioning methods using element-by-element analysis for Galerkin finite element equations. Zbl 0691.65021
Wathen, A. J.
2
1988
An iterative method for skew-symmetric systems. Zbl 1073.65528
Huang, Yu-Guang; Wathen, A. J.; Li, Lei
2
1999
Optimal moving grids for time-dependent partial differential equations. Zbl 0756.65122
Wathen, A. J.
1
1992
Singular element preconditioning for the finite element method. Zbl 0785.65106
Wathen, A. J.
1
1992
Finite element method solutions for semi-linear elliptic PDEs with critical Sobolev exponents on non-spherical 3D domains. Zbl 0963.35065
Humphries, A. R.; Budd, C. J.; Wathen, A. J.
1
1998
A nearly optimal preconditioner for the Navier-Stokes equations. Zbl 1051.65056
Hemmingsson-Frändén, Lina; Wathen, Andrew
1
2001
Preconditioners for multilevel Toeplitz linear systems from steady-state and evolutionary advection-diffusion equations. Zbl 1460.65134
Lin, Xue-lei; Ng, Micheal K.; Wathen, Andy
1
2021
Space-time block preconditioning for incompressible flow. Zbl 1482.65042
Danieli, Federico; Southworth, Ben S.; Wathen, Andrew J.
8
2022
Band-Toeplitz preconditioners for ill-conditioned Toeplitz systems. Zbl 1498.65041
Hon, Sean; Serra-Capizzano, Stefano; Wathen, Andy
7
2022
Some comments on preconditioning for normal equations and least squares. Zbl 1507.65070
Wathen, Andy
1
2022
Some observations on preconditioning for non-self-adjoint and time-dependent problems. Zbl 1524.65155
Wathen, Andy
1
2022
All-at-once solution of linear wave equations. Zbl 1549.65256
Danieli, Federico; Wathen, Andrew J.
6
2021
Preconditioners for multilevel Toeplitz linear systems from steady-state and evolutionary advection-diffusion equations. Zbl 1460.65134
Lin, Xue-lei; Ng, Micheal K.; Wathen, Andy
1
2021
Multipreconditioning with application to two-phase incompressible Navier-Stokes flow. Zbl 1470.65046
Bootland, Niall; Wathen, Andrew
1
2021
A constrained pressure-temperature residual (CPTR) method for non-isothermal multiphase flow in porous media. Zbl 1452.76101
Roy, Thomas; Jönsthövel, Tom B.; Lemon, Christopher; Wathen, Andrew J.
11
2020
A block preconditioner for non-isothermal flow in porous media. Zbl 1452.65053
Roy, Thomas; Jönsthövel, Tom B.; Lemon, Christopher; Wathen, Andrew J.
13
2019
Preconditioning for boundary control problems in incompressible fluid dynamics. Zbl 1524.49034
Heidel, Gennadij; Wathen, Andy
8
2019
Preconditioners for two-phase incompressible Navier-Stokes flow. Zbl 1421.76161
Bootland, Niall; Bentley, Alistair; Kees, Christopher; Wathen, Andrew
7
2019
Preconditioning and iterative solution of all-at-once systems for evolutionary partial differential equations. Zbl 1392.65036
McDonald, Eleanor; Pestana, Jennifer; Wathen, Andy
52
2018
Circulant preconditioners for analytic functions of Toeplitz matrices. Zbl 1404.65015
Hon, Sean; Wathen, Andrew
10
2018
Matching Schur complement approximations for certain saddle-point systems. Zbl 1405.65048
Pearson, John W.; Wathen, Andy
9
2018
Preconditioning for nonsymmetry and time-dependence. Zbl 1367.65045
McDonald, Eleanor; Hon, Sean; Pestana, Jennifer; Wathen, Andy
12
2017
A simple proposal for parallel computation over time of an evolutionary process with implicit time stepping. Zbl 1352.65360
McDonald, Eleanor; Wathen, Andy
9
2016
Preconditioning. Zbl 1316.65039
Wathen, A. J.
117
2015
Natural preconditioning and iterative methods for saddle point systems. Zbl 1338.65078
Pestana, Jennifer; Wathen, Andrew J.
47
2015
A preconditioned MINRES method for nonsymmetric Toeplitz matrices. Zbl 1315.65034
Pestana, J.; Wathen, A. J.
28
2015
On spectral distribution of kernel matrices related to radial basis functions. Zbl 1356.45001
Wathen, Andrew J.; Zhu, Shengxin
12
2015
Three-field block preconditioners for models of coupled magma/mantle dynamics. Zbl 1327.65055
Rhebergen, Sander; Wells, Garth N.; Wathen, Andrew J.; Katz, Richard F.
9
2015
Convexity and solvability for compactly supported radial basis functions with different shapes. Zbl 1320.65025
Zhu, Shengxin; Wathen, Andrew J.
5
2015
Finite elements and fast iterative solvers. With applications in incompressible fluid dynamics. 2nd ed. Zbl 1304.76002
Elman, Howard C.; Silvester, David J.; Wathen, Andrew J.
375
2014
Preconditioners for state-constrained optimal control problems with Moreau-Yosida penalty function. Zbl 1324.49026
Pearson, John W.; Stoll, Martin; Wathen, Andrew J.
33
2014
Fast solvers for Cahn-Hilliard inpainting. Zbl 1298.68284
Bosch, Jessica; Kay, David; Stoll, Martin; Wathen, Andrew J.
25
2014
Analysis of block preconditioners for models of coupled magma/mantle dynamics. Zbl 1299.86001
Rhebergen, Sander; Wells, Garth N.; Katz, Richard F.; Wathen, Andrew J.
11
2014
GMRES convergence bounds that depend on the right-hand-side vector. Zbl 1302.65083
Titley-Peloquin, David; Pestana, Jennifer; Wathen, Andrew J.
10
2014
The antitriangular factorization of saddle point matrices. Zbl 1385.65027
Pestana, J.; Wathen, A. J.
10
2014
Fast iterative solvers for convection-diffusion control problems. Zbl 1287.49031
Pearson, John W.; Wathen, Andrew J.
33
2013
On the choice of preconditioner for minimum residual methods for non-Hermitian matrices. Zbl 1285.65020
Pestana, Jennifer; Wathen, Andrew J.
10
2013
Combination preconditioning of saddle point systems for positive definiteness. Zbl 1313.65052
Pestana, J.; Wathen, A. J.
8
2013
A new approximation of the Schur complement in preconditioners for PDE-constrained optimization. Zbl 1274.65187
Pearson, John W.; Wathen, Andrew J.
121
2012
Regularization-robust preconditioners for time-dependent PDE-constrained optimization problems. Zbl 1263.65035
Pearson, John W.; Stoll, Martin; Wathen, Andrew J.
69
2012
Preconditioning for partial differential equation constrained optimization with control constraints. Zbl 1274.65189
Stoll, Martin; Wathen, Andy
25
2012
Analysis of preconditioned iterative solvers for incompressible flow problems. Zbl 1426.76290
Melchior, S. A.; Legat, V.; Van Dooren, P.; Wathen, A. J.
5
2012
Preconditioning iterative methods for the optimal control of the Stokes equations. Zbl 1300.49009
Rees, Tyrone; Wathen, Andrew J.
24
2011
Stability and preconditioning for a hybrid approximation on the sphere. Zbl 1223.65022
Le Gia, Q. T.; Sloan, I. H.; Wathen, Andrew J.
4
2011
Optimal solvers for PDE-constrained optimization. Zbl 1208.49035
Rees, Tyrone; Dollar, H. Sue; Wathen, Andrew J.
121
2010
All-at-once preconditioning in PDE-constrained optimization. Zbl 1195.65083
Rees, Tyrone; Stoll, Martin; Wathen, Andy
29
2010
Preconditioning saddle-point systems with applications in optimization. Zbl 1209.65035
Dollar, H. Sue; Gould, Nicholas I. M.; Stoll, Martin; Wathen, Andrew J.
13
2010
Chebyshev semi-iteration in preconditioning for problems including the mass matrix. Zbl 1189.65065
Wathen, Andy; Rees, Tyrone
58
2009
Local projection stabilized Galerkin approximations for the generalized Stokes problem. Zbl 1229.76054
Nafa, Kamel; Wathen, Andrew J.
8
2009
Some preconditiong techniques for saddle point problems. Zbl 1152.65425
Benzi, Michele; Wathen, Andrew J.
34
2008
Combination preconditioning and the Bramble-Pasciak\(^{+}\) preconditioner. Zbl 1167.65358
Stoll, Martin; Wathen, Andy
28
2008
Approximation of the scattering amplitude and linear systems. Zbl 1188.65032
Golub, Gene H.; Stoll, Martin; Wathen, Andy
8
2008
Efficient solution of a generalized eigenvalue problem arising in a thermoconvective instability. Zbl 1195.76322
Navarro, M. C.; Herrero, H.; Mancho, A. M.; Wathen, A.
3
2008
Using constraint preconditioners with regularized saddle-point problems. Zbl 1124.65033
Dollar, H. S.; Gould, N. I. M.; Schilders, W. H. A.; Wathen, A. J.
20
2007
Preconditioning and convergence in the right norm. Zbl 1123.65033
Wathen, Andy
11
2007
Limited memory solution of bound constrained convex quadratic problems arising in video games. Zbl 1377.90064
Ferris, Michael C.; Wathen, Andrew J.; Armand, Paul
4
2007
Approximate factorization constraint preconditioners for saddle-point matrices. Zbl 1105.65047
Dollar, H. S.; Wathen, A. J.
45
2006
Implicit-factorization preconditioning and iterative solvers for regularized saddle-point systems. Zbl 1104.65310
Dollar, H. Sue; Gould, Nicholas I. M.; Schilders, Wil H. A.; Wathen, Andrew J.
26
2006
On implicit-factorization constraint preconditioners. Zbl 1108.65040
Dollar, H. Sue; Gould, Nicholas I. M.; Wathen, Andrew J.
7
2006
Finite elements and fast iterative solvers: with applications in incompressible fluid dynamics. Zbl 1083.76001
Elman, Howard C.; Silvester, David J.; Wathen, Andrew J.
466
2005
A moving grid finite element method for the simulation of pattern generation by Turing models on growing domains. Zbl 1080.65091
Madzvamuse, Anotida; Maini, Philip K.; Wathen, Andrew J.
37
2005
Stopping criteria for iterations in finite element methods. Zbl 1069.65124
Arioli, M.; Loghin, D.; Wathen, A. J.
28
2005
Sparse approximate inverses and target matrices. Zbl 1077.65044
Holland, Ruth M.; Wathen, Andy J.; Shaw, Gareth J.
11
2005
A class of incomplete orthogonal factorization methods. II: Implemetation and results. Zbl 1080.65028
Papadopoulos, A. T.; Duff, I. S.; Wathen, A. J.
8
2005
Analysis of preconditioners for saddle-point problems. Zbl 1067.65048
Loghin, D.; Wathen, A. J.
60
2004
A moving grid finite element method applied to a model biological pattern generator. Zbl 1029.65113
Madzvamuse, Anotida; Wathen, Andrew J.; Maini, Philip K.
59
2003
Preconditioning techniques for Newton’s method for the incompressible Navier-Stokes equations. Zbl 1244.76023
Elman, H. C.; Loghin, D.; Wathen, A. J.
14
2003
Schur complement preconditioning for elliptic systems of partial differential equations. Zbl 1071.65146
Loghin, D.; Wathen, A. J.
6
2003
A new preconditioner for the Oseen equations. Zbl 1268.76036
Wathen, A.; Loghin, D.; Kay, D.; Elman, H.; Silvester, D.
5
2003
Performance and analysis of saddle point preconditioners for the discrete steady-state Navier-Stokes equations. Zbl 1143.76531
Elman, Howard C.; Silvester, David J.; Wathen, Andrew J.
108
2002
A preconditioner for the steady-state Navier–Stokes equations. Zbl 1013.65039
Kay, David; Loghin, Daniel; Wathen, Andrew
104
2002
A numerical approach to the study of spatial pattern formation in the ligaments of arcoid bivalves. Zbl 1334.92039
Madzvamuse, Anotida; Thomas, Roger D. K.; Maini, Philip K.; Wathen, Andrew J.
24
2002
Schur complement preconditioners for the Navier-Stokes equations. Zbl 1061.76032
Loghin, D.; Wathen, A. J.
7
2002
Block preconditioners for the discrete incompressible Navier-Stokes equations. Zbl 1019.76023
Elman, Howard C.; Silvester, David J.; Wathen, Andrew J.
7
2002
A predictive model for color pattern formation in the butterfly wing of Papilio dardanus. Zbl 1007.92007
Madzvamuse, Anotida; Maini, Philip K.; Wathen, Andrew J.; Sekimura, Toshio
7
2002
Efficient preconditioning of the linearized Navier-Stokes equations for incompressible flow. Zbl 0983.76051
Silvester, David; Elman, Howard; Kay, David; Wathen, Andrew
78
2001
A class of incomplete orthogonal factorization methods. I: Methods and theories. Zbl 0990.65038
Bai, Zhongzhi; Duff, Iain S.; Wathen, Andrew J.
25
2001
The potential theory of several intervals and its applications. Zbl 0983.41006
Shen, J.; Strang, G.; Wathen, A. J.
7
2001
A nearly optimal preconditioner for the Navier-Stokes equations. Zbl 1051.65056
Hemmingsson-Frändén, Lina; Wathen, Andrew
1
2001
A note on preconditioning for indefinite linear systems. Zbl 0959.65063
Murphy, Malcolm F.; Golub, Gene H.; Wathen, Andrew J.
269
2000
Constraint preconditioning for indefinite linear systems. Zbl 0960.65052
Keller, Carsten; Gould, Nicholas I. M.; Wathen, Andrew J.
181
2000
On parameter choice and iterative convergence for stabilised discretisations of advection-diffusion problems. Zbl 0977.76043
Fischer, B.; Ramage, A.; Silvester, D. J.; Wathen, A. J.
16
1999
The finite element approximation of semilinear elliptic partial differential equations with critical exponents in the cube. Zbl 0924.35049
Budd, C. J.; Humphries, A. R.; Wathen, A. J.
4
1999
Stabilised finite element methods for steady incompressible flow. Zbl 0957.76025
Blank, Henrik; Rudgyard, Michael; Wathen, Andrew
3
1999
An iterative method for skew-symmetric systems. Zbl 1073.65528
Huang, Yu-Guang; Wathen, A. J.; Li, Lei
2
1999
Minimum residual methods for augmented systems. Zbl 0914.65026
Fischer, B.; Ramage, A.; Silvester, D. J.; Wathen, A. J.
99
1998
An iteration for indefinite systems and its application to the Navier-Stokes equations. Zbl 0912.76053
Golub, Gene H.; Wathen, Andrew J.
57
1998
The convergence of iterative solution methods for symmetric and indefinite linear systems. Zbl 0902.65012
Wathen, A. J.; Fischer, B.; Silvester, D. J.
4
1998
Finite element method solutions for semi-linear elliptic PDEs with critical Sobolev exponents on non-spherical 3D domains. Zbl 0963.35065
Humphries, A. R.; Budd, C. J.; Wathen, A. J.
1
1998
Iterative methods for problems in computational fluid dynamics. Zbl 0957.76071
Elman, Howard C.; Silvester, David J.; Wathen, Andrew J.
21
1997
Fast and robust solvers for time-discretised incompressible Navier-Stokes equations. Zbl 0851.76042
Silvester, D. J.; Wathen, A. J.
6
1996
The convergence rate of the minimal residual method for the Stokes problem. Zbl 0837.65026
Wathen, Andrew; Fischer, Bernd; Silvester, David
18
1995
Fast iterative solution of stabilised Stokes systems. II: Using general block preconditioners. Zbl 0810.76044
Silvester, David; Wathen, Andrew
180
1994
Iterative solution techniques for the Stokes and Navier-Stokes equations. Zbl 0810.76042
Ramage, Alison; Wathen, Andrew J.
13
1994
On preconditioning for finite element equations on irregular grids. Zbl 0807.65049
Ramage, Alison; Wathen, Andrew J.
5
1994
Fast iterative solution of stabilised Stokes systems. I: Using simple diagonal preconditions. Zbl 0776.76024
Wathen, Andrew; Silvester, David
97
1993
Variational bounds on the entries of the inverse of a matrix. Zbl 0759.15016
Robinson, P. D.; Wathen, A. J.
12
1992
Optimal moving grids for time-dependent partial differential equations. Zbl 0756.65122
Wathen, A. J.
1
1992
Singular element preconditioning for the finite element method. Zbl 0785.65106
Wathen, A. J.
1
1992
Temporal derivatives in the finite-element method on continuously deforming grids. Zbl 0747.65083
Jimack, P. K.; Wathen, A. J.
22
1991
On the best least squares approximation of continuous functions using linear splines with free knots. Zbl 0760.65009
Loach, P. D.; Wathen, A. J.
6
1991
On relaxation of Jacobi iteration for consistent and generalized mass matrices. Zbl 0724.65028
Wathen, A. J.
4
1991
An analysis of some element-by-element techniques. Zbl 0694.65013
Wathen, A. J.
13
1989
Moving finite element methods for evolutionary problems. II: Applications. Zbl 0665.65072
Johnson, I. W.; Wathen, A. J.; Baines, M. J.
12
1988
Moving finite element methods for evolutionary problems. I: Theory. Zbl 0665.65071
Baines, M. J.; Wathen, A. J.
8
1988
Spectral bounds and preconditioning methods using element-by-element analysis for Galerkin finite element equations. Zbl 0691.65021
Wathen, A. J.
2
1988
Realistic eigenvalue bounds for the Galerkin mass matrix. Zbl 0648.65076
Wathen, A. J.
86
1987
...and 3 more Documents
all top 5

Cited by 2,736 Authors

46 Wathen, Andrew John
46 Zhang, Guofeng
34 Stoll, Martin
33 Liang, Zhaozheng
31 Ma, Changfeng
26 Bai, Zhongzhi
25 Elman, Howard C.
25 Pearson, John W.
24 Axelsson, Axel Owe Holger
23 Cao, Yang
23 Olshanskii, Maxim A.
21 Farrell, Patrick E.
21 Huang, Ting-Zhu
21 Neytcheva, Maya G.
20 Benzi, Michele
19 Silvester, David J.
18 Ferronato, Massimiliano
18 Hu, Xiaozhe
17 Liu, Jun
17 Madzvamuse, Anotida
17 Simoncini, Valeria
16 Badia, Santiago
16 Pestana, Jennifer
16 Wu, Shulin
14 MacLachlan, Scott P.
14 Rebholz, Leo Gregory
14 Vuik, Cornelis
14 Yang, Aili
13 Bergamaschi, Luca
13 Gondzio, Jacek
13 Hon, Sean Y.
13 Khojasteh Salkuyeh, Davod
13 Mardal, Kent-Andre
13 Serra-Capizzano, Stefano
13 Sousedík, Bedřich
13 Wu, Yujiang
13 Zikatanov, Ludmil T.
12 Cao, Zhihao
12 Castelletto, Nicola
12 Greif, Chen
12 Huang, Na
12 Liao, Lidan
12 Quarteroni, Alfio M.
12 Shang, Yueqiang
12 Szyld, Daniel B.
12 Wang, Zengqi
12 Wei, Yimin
12 Zheng, Qingqing
11 Adler, James H.
11 Fan, Hongtao
11 He, Yunhui
11 Liao, Qifeng
11 Shadid, John N.
11 Shao, Xinhui
11 White, Joshua A.
11 Zheng, Bing
10 Benner, Peter
10 Rüde, Ulrich
9 Auricchio, Ferdinando
9 Cui, Jingjing
9 Garzón-Alvarado, Diego Alexander
9 He, Yinnian
9 Herzog, Roland
9 Huang, Weizhang
9 Huang, Zhengge
9 Janna, Carlo
9 Li, Wen
9 Lin, Xuelei
9 Loghin, Daniel
9 Orban, Dominique
9 Wu, Shiliang
9 Yang, Haijian
9 Zhang, Naimin
8 Deparis, Simone
8 Dou, Yan
8 Feng, Xinlong
8 Heil, Matthias
8 Jimack, Peter K.
8 Liesen, Jörg
8 Scott, Jennifer
8 Tuminaro, Raymond S.
8 Xu, Jinchao
7 Beik, Fatemeh Panjeh Ali
7 Cyr, Eric C.
7 De Simone, Valentina
7 Dehghan Takht Fooladi, Mehdi
7 di Serafino, Daniela
7 Dolgov, Sergey V.
7 Gambolati, Giuseppe
7 Gander, Martin Jakob
7 Ghattas, Omar N.
7 Golub, Gene Howard
7 Gratton, Serge
7 Han, Danfu
7 Howle, Victoria E.
7 Kuchta, Miroslav
7 Langer, Ulrich
7 Li, Changjun
7 Li, Jicheng
7 Manzoni, Andrea
...and 2,636 more Authors
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Cited in 218 Serials

161 SIAM Journal on Scientific Computing
136 Computer Methods in Applied Mechanics and Engineering
134 Journal of Computational Physics
121 Journal of Computational and Applied Mathematics
113 Computers & Mathematics with Applications
98 Numerical Linear Algebra with Applications
94 Applied Mathematics and Computation
71 Numerical Algorithms
68 Journal of Scientific Computing
61 Applied Numerical Mathematics
45 SIAM Journal on Matrix Analysis and Applications
40 Linear Algebra and its Applications
35 Computational and Applied Mathematics
34 International Journal for Numerical Methods in Engineering
33 Numerische Mathematik
29 BIT
28 International Journal for Numerical Methods in Fluids
27 Computational Optimization and Applications
26 Mathematics of Computation
23 International Journal of Computer Mathematics
20 SIAM Journal on Numerical Analysis
19 Numerical Methods for Partial Differential Equations
19 Advances in Computational Mathematics
18 Applied Mathematics Letters
17 Calcolo
16 Computers and Fluids
16 Mathematics and Computers in Simulation
16 ETNA. Electronic Transactions on Numerical Analysis
16 East Asian Journal on Applied Mathematics
13 Computational Geosciences
12 Optimization Methods & Software
12 Communications in Computational Physics
12 SIAM/ASA Journal on Uncertainty Quantification
10 Computer Physics Communications
10 Journal of Fluid Mechanics
9 Computing and Visualization in Science
9 Journal of Applied Mathematics and Computing
8 Computational Mechanics
8 SIAM Journal on Optimization
8 Computational Methods in Applied Mathematics
8 Journal of Numerical Mathematics
7 Journal of Mathematical Biology
6 Linear and Multilinear Algebra
6 ACM Transactions on Mathematical Software
6 Journal of Applied Mathematics
6 International Journal of Computational Methods
6 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
6 Advances in Applied Mathematics and Mechanics
5 Journal of Engineering Mathematics
5 Mathematical Methods in the Applied Sciences
5 Computing
5 Numerical Functional Analysis and Optimization
5 Applications of Mathematics
5 Applied Mathematical Modelling
5 Engineering Analysis with Boundary Elements
5 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
5 Communications in Nonlinear Science and Numerical Simulation
5 Journal of Theoretical Biology
4 Bulletin of Mathematical Biology
4 Journal of Optimization Theory and Applications
4 SIAM Review
4 Journal of Nonlinear Science
4 Applied Mathematics. Series B (English Edition)
4 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
4 Mathematical Modelling and Analysis
4 Multiscale Modeling & Simulation
4 Communications on Applied Mathematics and Computation
3 Archive for Rational Mechanics and Analysis
3 Journal of Mathematical Analysis and Applications
3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
3 Physica D
3 Optimization
3 Japan Journal of Industrial and Applied Mathematics
3 Mathematical Programming. Series A. Series B
3 Journal of Mathematical Imaging and Vision
3 Communications in Numerical Methods in Engineering
3 ELA. The Electronic Journal of Linear Algebra
3 Mathematical Problems in Engineering
3 Journal of Inequalities and Applications
3 Discrete and Continuous Dynamical Systems. Series B
3 Central European Journal of Mathematics
3 Acta Numerica
3 GAMM-Mitteilungen
3 Numerical Mathematics: Theory, Methods and Applications
3 S\(\vec{\text{e}}\)MA Journal
3 ISRN Applied Mathematics
3 SMAI Journal of Computational Mathematics
2 Applicable Analysis
2 ZAMP. Zeitschrift für angewandte Mathematik und Physik
2 Journal of the Korean Mathematical Society
2 Optimal Control Applications & Methods
2 Applied Mathematics and Mechanics. (English Edition)
2 Acta Applicandae Mathematicae
2 Mitteilungen der Gesellschaft für Angewandte Mathematik und Mechanik
2 Computer Aided Geometric Design
2 Journal of Computational Mathematics
2 Parallel Computing
2 Computers & Operations Research
2 Mathematical and Computer Modelling
2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
...and 118 more Serials
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Cited in 39 Fields

1,752 Numerical analysis (65-XX)
646 Fluid mechanics (76-XX)
474 Partial differential equations (35-XX)
200 Calculus of variations and optimal control; optimization (49-XX)
176 Linear and multilinear algebra; matrix theory (15-XX)
155 Mechanics of deformable solids (74-XX)
130 Operations research, mathematical programming (90-XX)
74 Biology and other natural sciences (92-XX)
44 Computer science (68-XX)
33 Probability theory and stochastic processes (60-XX)
33 Systems theory; control (93-XX)
28 Optics, electromagnetic theory (78-XX)
27 Geophysics (86-XX)
24 Classical thermodynamics, heat transfer (80-XX)
21 Statistics (62-XX)
20 Operator theory (47-XX)
17 Information and communication theory, circuits (94-XX)
16 Approximations and expansions (41-XX)
16 Statistical mechanics, structure of matter (82-XX)
11 Dynamical systems and ergodic theory (37-XX)
8 Ordinary differential equations (34-XX)
6 Real functions (26-XX)
6 Integral equations (45-XX)
5 Combinatorics (05-XX)
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4 Functions of a complex variable (30-XX)
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3 History and biography (01-XX)
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