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Wathen, Andrew John

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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 · dblp
all top 5

Co-Authors

12 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
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.
2 Zhu, Shengxin
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 Heidel, Gennadij
1 Hemmingsson-Frändén, Lina
1 Herrero, Henar
1 Holland, Ruth M.
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 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 Tang, Tao
1 Tang, Wei-Pai
1 Thomas, Roger D. K.
1 Titley-Péloquin, David
1 Van der Vorst, Henk Albertus
1 Van Dooren, Paul M.

Publications by Year

Citations contained in zbMATH Open

99 Publications have been cited 2,959 times in 1,616 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.
371
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.
244
2014
A note on preconditioning for indefinite linear systems. Zbl 0959.65063
Murphy, Malcolm F.; Golub, Gene H.; Wathen, Andrew J.
217
2000
Constraint preconditioning for indefinite linear systems. Zbl 0960.65052
Keller, Carsten; Gould, Nicholas I. M.; Wathen, Andrew J.
164
2000
Fast iterative solution of stabilised Stokes systems. II: Using general block preconditioners. Zbl 0810.76044
Silvester, David; Wathen, Andrew
153
1994
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.
100
2002
Minimum residual methods for augmented systems. Zbl 0914.65026
Fischer, B.; Ramage, A.; Silvester, D. J.; Wathen, A. J.
90
1998
Optimal solvers for PDE-constrained optimization. Zbl 1208.49035
Rees, Tyrone; Dollar, H. Sue; Wathen, Andrew J.
89
2010
A preconditioner for the steady-state Navier–Stokes equations. Zbl 1013.65039
Kay, David; Loghin, Daniel; Wathen, Andrew
86
2002
Fast iterative solution of stabilised Stokes systems. I: Using simple diagonal preconditions. Zbl 0776.76024
Wathen, Andrew; Silvester, David
83
1993
A new approximation of the Schur complement in preconditioners for PDE-constrained optimization. Zbl 1274.65187
Pearson, John W.; Wathen, Andrew J.
79
2012
Realistic eigenvalue bounds for the Galerkin mass matrix. Zbl 0648.65076
Wathen, A. J.
73
1987
Efficient preconditioning of the linearized Navier-Stokes equations for incompressible flow. Zbl 0983.76051
Silvester, David; Elman, Howard; Kay, David; Wathen, Andrew
67
2001
Preconditioning. Zbl 1316.65039
Wathen, A. J.
65
2015
An iteration for indefinite systems and its application to the Navier-Stokes equations. Zbl 0912.76053
Golub, Gene H.; Wathen, Andrew J.
55
1998
A moving grid finite element method applied to a model biological pattern generator. Zbl 1029.65113
Madzvamuse, Anotida; Wathen, Andrew J.; Maini, Philip K.
54
2003
Regularization-robust preconditioners for time-dependent PDE-constrained optimization problems. Zbl 1263.65035
Pearson, John W.; Stoll, Martin; Wathen, Andrew J.
49
2012
Analysis of preconditioners for saddle-point problems. Zbl 1067.65048
Loghin, D.; Wathen, A. J.
47
2004
Chebyshev semi-iteration in preconditioning for problems including the mass matrix. Zbl 1189.65065
Wathen, Andy; Rees, Tyrone
43
2009
Natural preconditioning and iterative methods for saddle point systems. Zbl 1338.65078
Pestana, Jennifer; Wathen, Andrew J.
41
2015
Approximate factorization constraint preconditioners for saddle-point matrices. Zbl 1105.65047
Dollar, H. S.; Wathen, A. J.
41
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.
34
2005
Preconditioning and iterative solution of all-at-once systems for evolutionary partial differential equations. Zbl 1392.65036
McDonald, Eleanor; Pestana, Jennifer; Wathen, Andy
30
2018
Some preconditiong techniques for saddle point problems. Zbl 1152.65425
Benzi, Michele; Wathen, Andrew J.
23
2008
Stopping criteria for iterations in finite element methods. Zbl 1069.65124
Arioli, M.; Loghin, D.; Wathen, A. J.
23
2005
A class of incomplete orthogonal factorization methods. I: Methods and theories. Zbl 0990.65038
Bai, Zhongzhi; Duff, Iain S.; Wathen, Andrew J.
23
2001
Combination preconditioning and the Bramble-Pasciak\(^{+}\) preconditioner. Zbl 1167.65358
Stoll, Martin; Wathen, Andy
23
2008
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.
23
2002
Fast iterative solvers for convection-diffusion control problems. Zbl 1287.49031
Pearson, John W.; Wathen, Andrew J.
22
2013
A preconditioned MINRES method for nonsymmetric Toeplitz matrices. Zbl 1315.65034
Pestana, J.; Wathen, A. J.
22
2015
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.
22
2006
Preconditioners for state-constrained optimal control problems with Moreau-Yosida penalty function. Zbl 1324.49026
Pearson, John W.; Stoll, Martin; Wathen, Andrew J.
21
2014
Fast solvers for Cahn-Hilliard inpainting. Zbl 1298.68284
Bosch, Jessica; Kay, David; Stoll, Martin; Wathen, Andrew J.
21
2014
Iterative methods for problems in computational fluid dynamics. Zbl 0957.76071
Elman, Howard C.; Silvester, David J.; Wathen, Andrew J.
20
1997
All-at-once preconditioning in PDE-constrained optimization. Zbl 1195.65083
Rees, Tyrone; Stoll, Martin; Wathen, Andy
20
2010
Temporal derivatives in the finite-element method on continuously deforming grids. Zbl 0747.65083
Jimack, P. K.; Wathen, A. J.
17
1991
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.
17
1999
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.
17
2007
Preconditioning for partial differential equation constrained optimization with control constraints. Zbl 1274.65189
Stoll, Martin; Wathen, Andy
17
2012
Preconditioning iterative methods for the optimal control of the Stokes equations. Zbl 1300.49009
Rees, Tyrone; Wathen, Andrew J.
17
2011
The convergence rate of the minimal residual method for the Stokes problem. Zbl 0837.65026
Wathen, Andrew; Fischer, Bernd; Silvester, David
16
1995
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.
12
1989
Sparse approximate inverses and target matrices. Zbl 1077.65044
Holland, Ruth M.; Wathen, Andy J.; Shaw, Gareth J.
11
2005
Preconditioning saddle-point systems with applications in optimization. Zbl 1209.65035
Dollar, H. Sue; Gould, Nicholas I. M.; Stoll, Martin; Wathen, Andrew J.
11
2010
Preconditioning techniques for Newton’s method for the incompressible Navier-Stokes equations. Zbl 1244.76023
Elman, H. C.; Loghin, D.; Wathen, A. J.
11
2003
Variational bounds on the entries of the inverse of a matrix. Zbl 0759.15016
Robinson, P. D.; Wathen, A. J.
10
1992
Preconditioning and convergence in the right norm. Zbl 1123.65033
Wathen, Andy
10
2007
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.
10
2014
GMRES convergence bounds that depend on the right-hand-side vector. Zbl 1302.65083
Titley-Peloquin, David; Pestana, Jennifer; Wathen, Andrew J.
9
2014
The antitriangular factorization of saddle point matrices. Zbl 1385.65027
Pestana, J.; Wathen, A. J.
9
2014
Moving finite element methods for evolutionary problems. II: Applications. Zbl 0665.65072
Johnson, I. W.; Wathen, A. J.; Baines, M. J.
9
1988
On the choice of preconditioner for minimum residual methods for non-Hermitian matrices. Zbl 1285.65020
Pestana, Jennifer; Wathen, Andrew J.
8
2013
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.
8
2015
A simple proposal for parallel computation over time of an evolutionary process with implicit time stepping. Zbl 1352.65360
McDonald, Eleanor; Wathen, Andy
8
2016
Combination preconditioning of saddle point systems for positive definiteness. Zbl 1313.65052
Pestana, J.; Wathen, A. J.
7
2013
Circulant preconditioners for analytic functions of Toeplitz matrices. Zbl 1404.65015
Hon, Sean; Wathen, Andrew
7
2018
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
Block preconditioners for the discrete incompressible Navier-Stokes equations. Zbl 1019.76023
Elman, Howard C.; Silvester, David J.; Wathen, Andrew J.
7
2002
Preconditioning for nonsymmetry and time-dependence. Zbl 1367.65045
McDonald, Eleanor; Hon, Sean; Pestana, Jennifer; Wathen, Andy
7
2017
On spectral distribution of kernel matrices related to radial basis functions. Zbl 1356.45001
Wathen, Andrew J.; Zhu, Shengxin
7
2015
Approximation of the scattering amplitude and linear systems. Zbl 1188.65032
Golub, Gene H.; Stoll, Martin; Wathen, Andy
6
2008
Fast and robust solvers for time-discretised incompressible Navier-Stokes equations. Zbl 0851.76042
Silvester, D. J.; Wathen, A. J.
6
1996
On implicit-factorization constraint preconditioners. Zbl 1108.65040
Dollar, H. Sue; Gould, Nicholas I. M.; Wathen, Andrew J.
6
2006
Local projection stabilized Galerkin approximations for the generalized Stokes problem. Zbl 1229.76054
Nafa, Kamel; Wathen, Andrew J.
6
2009
The potential theory of several intervals and its applications. Zbl 0983.41006
Shen, J.; Strang, G.; Wathen, A. J.
6
2001
A class of incomplete orthogonal factorization methods. II: Implemetation and results. Zbl 1080.65028
Papadopoulos, A. T.; Duff, I. S.; Wathen, A. J.
6
2005
Schur complement preconditioners for the Navier-Stokes equations. Zbl 1061.76032
Loghin, D.; Wathen, A. J.
6
2002
On the structure of the moving finite-element equations. Zbl 0583.65080
Wathen, A. J.; Baines, M. J.
6
1985
On the best least squares approximation of continuous functions using linear splines with free knots. Zbl 0760.65009
Loach, P. D.; Wathen, A. J.
5
1991
Matching Schur complement approximations for certain saddle-point systems. Zbl 1405.65048
Pearson, John W.; Wathen, Andy
5
2018
Convexity and solvability for compactly supported radial basis functions with different shapes. Zbl 1320.65025
Zhu, Shengxin; Wathen, Andrew J.
5
2015
Schur complement preconditioning for elliptic systems of partial differential equations. Zbl 1071.65146
Loghin, D.; Wathen, A. J.
5
2003
On preconditioning for finite element equations on irregular grids. Zbl 0807.65049
Ramage, Alison; Wathen, Andrew J.
5
1994
A new preconditioner for the Oseen equations. Zbl 1268.76036
Wathen, A.; Loghin, D.; Kay, D.; Elman, H.; Silvester, D.
5
2003
Preconditioners for two-phase incompressible Navier-Stokes flow. Zbl 1421.76161
Bootland, Niall; Bentley, Alistair; Kees, Christopher; Wathen, Andrew
4
2019
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.
4
2020
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
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
Moving finite element methods for evolutionary problems. I: Theory. Zbl 0665.65071
Baines, M. J.; Wathen, A. J.
4
1988
On relaxation of Jacobi iteration for consistent and generalized mass matrices. Zbl 0724.65028
Wathen, A. J.
4
1991
Stabilised finite element methods for steady incompressible flow. Zbl 0957.76025
Blank, Henrik; Rudgyard, Michael; Wathen, Andrew
3
1999
Preconditioning for boundary control problems in incompressible fluid dynamics. Zbl 07031718
Heidel, Gennadij; Wathen, Andy
3
2019
A block preconditioner for non-isothermal flow in porous media. Zbl 1452.65053
Roy, Thomas; Jönsthövel, Tom B.; Lemon, Christopher; Wathen, Andrew J.
3
2019
Limited memory solution of bound constrained convex quadratic problems arising in video games. Zbl 1377.90064
Ferris, Michael C.; Wathen, Andrew J.; Armand, Paul
3
2007
Moving finite element modelling of compressible flow. Zbl 0658.76068
Baines, M. J.; Wathen, A. J.
3
1986
Analysis of preconditioned iterative solvers for incompressible flow problems. Zbl 1426.76290
Melchior, S. A.; Legat, V.; Van Dooren, P.; Wathen, A. J.
2
2012
Mesh-independent spectra in the moving finite element equations. Zbl 0613.65115
Wathen, A. J.
2
1986
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.
2
2008
Spectral bounds and preconditioning methods using element-by-element analysis for Galerkin finite element equations. Zbl 0691.65021
Wathen, A. J.
2
1988
Space-time block preconditioning for incompressible flow. Zbl 1482.65042
Danieli, Federico; Southworth, Ben S.; Wathen, Andrew J.
2
2022
All-at-once solution of linear wave equations. Zbl 07478618
Danieli, Federico; Wathen, Andrew J.
2
2021
Optimal moving grids for time-dependent partial differential equations. Zbl 0756.65122
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
Singular element preconditioning for the finite element method. Zbl 0785.65106
Wathen, A. J.
1
1992
An iterative method for skew-symmetric systems. Zbl 1073.65528
Huang, Yu-Guang; Wathen, A. J.; Li, Lei
1
1999
Some observations on preconditioning for non-self-adjoint and time-dependent problems. Zbl 07546665
Wathen, Andy
1
2022
Space-time block preconditioning for incompressible flow. Zbl 1482.65042
Danieli, Federico; Southworth, Ben S.; Wathen, Andrew J.
2
2022
Some observations on preconditioning for non-self-adjoint and time-dependent problems. Zbl 07546665
Wathen, Andy
1
2022
All-at-once solution of linear wave equations. Zbl 07478618
Danieli, Federico; Wathen, Andrew J.
2
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.
4
2020
Preconditioners for two-phase incompressible Navier-Stokes flow. Zbl 1421.76161
Bootland, Niall; Bentley, Alistair; Kees, Christopher; Wathen, Andrew
4
2019
Preconditioning for boundary control problems in incompressible fluid dynamics. Zbl 07031718
Heidel, Gennadij; Wathen, Andy
3
2019
A block preconditioner for non-isothermal flow in porous media. Zbl 1452.65053
Roy, Thomas; Jönsthövel, Tom B.; Lemon, Christopher; Wathen, Andrew J.
3
2019
Preconditioning and iterative solution of all-at-once systems for evolutionary partial differential equations. Zbl 1392.65036
McDonald, Eleanor; Pestana, Jennifer; Wathen, Andy
30
2018
Circulant preconditioners for analytic functions of Toeplitz matrices. Zbl 1404.65015
Hon, Sean; Wathen, Andrew
7
2018
Matching Schur complement approximations for certain saddle-point systems. Zbl 1405.65048
Pearson, John W.; Wathen, Andy
5
2018
Preconditioning for nonsymmetry and time-dependence. Zbl 1367.65045
McDonald, Eleanor; Hon, Sean; Pestana, Jennifer; Wathen, Andy
7
2017
A simple proposal for parallel computation over time of an evolutionary process with implicit time stepping. Zbl 1352.65360
McDonald, Eleanor; Wathen, Andy
8
2016
Preconditioning. Zbl 1316.65039
Wathen, A. J.
65
2015
Natural preconditioning and iterative methods for saddle point systems. Zbl 1338.65078
Pestana, Jennifer; Wathen, Andrew J.
41
2015
A preconditioned MINRES method for nonsymmetric Toeplitz matrices. Zbl 1315.65034
Pestana, J.; Wathen, A. J.
22
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.
8
2015
On spectral distribution of kernel matrices related to radial basis functions. Zbl 1356.45001
Wathen, Andrew J.; Zhu, Shengxin
7
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.
244
2014
Preconditioners for state-constrained optimal control problems with Moreau-Yosida penalty function. Zbl 1324.49026
Pearson, John W.; Stoll, Martin; Wathen, Andrew J.
21
2014
Fast solvers for Cahn-Hilliard inpainting. Zbl 1298.68284
Bosch, Jessica; Kay, David; Stoll, Martin; Wathen, Andrew J.
21
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.
10
2014
GMRES convergence bounds that depend on the right-hand-side vector. Zbl 1302.65083
Titley-Peloquin, David; Pestana, Jennifer; Wathen, Andrew J.
9
2014
The antitriangular factorization of saddle point matrices. Zbl 1385.65027
Pestana, J.; Wathen, A. J.
9
2014
Fast iterative solvers for convection-diffusion control problems. Zbl 1287.49031
Pearson, John W.; Wathen, Andrew J.
22
2013
On the choice of preconditioner for minimum residual methods for non-Hermitian matrices. Zbl 1285.65020
Pestana, Jennifer; Wathen, Andrew J.
8
2013
Combination preconditioning of saddle point systems for positive definiteness. Zbl 1313.65052
Pestana, J.; Wathen, A. J.
7
2013
A new approximation of the Schur complement in preconditioners for PDE-constrained optimization. Zbl 1274.65187
Pearson, John W.; Wathen, Andrew J.
79
2012
Regularization-robust preconditioners for time-dependent PDE-constrained optimization problems. Zbl 1263.65035
Pearson, John W.; Stoll, Martin; Wathen, Andrew J.
49
2012
Preconditioning for partial differential equation constrained optimization with control constraints. Zbl 1274.65189
Stoll, Martin; Wathen, Andy
17
2012
Analysis of preconditioned iterative solvers for incompressible flow problems. Zbl 1426.76290
Melchior, S. A.; Legat, V.; Van Dooren, P.; Wathen, A. J.
2
2012
Preconditioning iterative methods for the optimal control of the Stokes equations. Zbl 1300.49009
Rees, Tyrone; Wathen, Andrew J.
17
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.
89
2010
All-at-once preconditioning in PDE-constrained optimization. Zbl 1195.65083
Rees, Tyrone; Stoll, Martin; Wathen, Andy
20
2010
Preconditioning saddle-point systems with applications in optimization. Zbl 1209.65035
Dollar, H. Sue; Gould, Nicholas I. M.; Stoll, Martin; Wathen, Andrew J.
11
2010
Chebyshev semi-iteration in preconditioning for problems including the mass matrix. Zbl 1189.65065
Wathen, Andy; Rees, Tyrone
43
2009
Local projection stabilized Galerkin approximations for the generalized Stokes problem. Zbl 1229.76054
Nafa, Kamel; Wathen, Andrew J.
6
2009
Some preconditiong techniques for saddle point problems. Zbl 1152.65425
Benzi, Michele; Wathen, Andrew J.
23
2008
Combination preconditioning and the Bramble-Pasciak\(^{+}\) preconditioner. Zbl 1167.65358
Stoll, Martin; Wathen, Andy
23
2008
Approximation of the scattering amplitude and linear systems. Zbl 1188.65032
Golub, Gene H.; Stoll, Martin; Wathen, Andy
6
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.
2
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.
17
2007
Preconditioning and convergence in the right norm. Zbl 1123.65033
Wathen, Andy
10
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
3
2007
Approximate factorization constraint preconditioners for saddle-point matrices. Zbl 1105.65047
Dollar, H. S.; Wathen, A. J.
41
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.
22
2006
On implicit-factorization constraint preconditioners. Zbl 1108.65040
Dollar, H. Sue; Gould, Nicholas I. M.; Wathen, Andrew J.
6
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.
371
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.
34
2005
Stopping criteria for iterations in finite element methods. Zbl 1069.65124
Arioli, M.; Loghin, D.; Wathen, A. J.
23
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.
6
2005
Analysis of preconditioners for saddle-point problems. Zbl 1067.65048
Loghin, D.; Wathen, A. J.
47
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.
54
2003
Preconditioning techniques for Newton’s method for the incompressible Navier-Stokes equations. Zbl 1244.76023
Elman, H. C.; Loghin, D.; Wathen, A. J.
11
2003
Schur complement preconditioning for elliptic systems of partial differential equations. Zbl 1071.65146
Loghin, D.; Wathen, A. J.
5
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.
100
2002
A preconditioner for the steady-state Navier–Stokes equations. Zbl 1013.65039
Kay, David; Loghin, Daniel; Wathen, Andrew
86
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.
23
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
Block preconditioners for the discrete incompressible Navier-Stokes equations. Zbl 1019.76023
Elman, Howard C.; Silvester, David J.; Wathen, Andrew J.
7
2002
Schur complement preconditioners for the Navier-Stokes equations. Zbl 1061.76032
Loghin, D.; Wathen, A. J.
6
2002
Efficient preconditioning of the linearized Navier-Stokes equations for incompressible flow. Zbl 0983.76051
Silvester, David; Elman, Howard; Kay, David; Wathen, Andrew
67
2001
A class of incomplete orthogonal factorization methods. I: Methods and theories. Zbl 0990.65038
Bai, Zhongzhi; Duff, Iain S.; Wathen, Andrew J.
23
2001
The potential theory of several intervals and its applications. Zbl 0983.41006
Shen, J.; Strang, G.; Wathen, A. J.
6
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.
217
2000
Constraint preconditioning for indefinite linear systems. Zbl 0960.65052
Keller, Carsten; Gould, Nicholas I. M.; Wathen, Andrew J.
164
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.
17
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
1
1999
Minimum residual methods for augmented systems. Zbl 0914.65026
Fischer, B.; Ramage, A.; Silvester, D. J.; Wathen, A. J.
90
1998
An iteration for indefinite systems and its application to the Navier-Stokes equations. Zbl 0912.76053
Golub, Gene H.; Wathen, Andrew J.
55
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.
20
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
16
1995
Fast iterative solution of stabilised Stokes systems. II: Using general block preconditioners. Zbl 0810.76044
Silvester, David; Wathen, Andrew
153
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
83
1993
Variational bounds on the entries of the inverse of a matrix. Zbl 0759.15016
Robinson, P. D.; Wathen, A. J.
10
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.
17
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.
5
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.
12
1989
Moving finite element methods for evolutionary problems. II: Applications. Zbl 0665.65072
Johnson, I. W.; Wathen, A. J.; Baines, M. J.
9
1988
Moving finite element methods for evolutionary problems. I: Theory. Zbl 0665.65071
Baines, M. J.; Wathen, A. J.
4
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.
73
1987
Moving finite element modelling of compressible flow. Zbl 0658.76068
Baines, M. J.; Wathen, A. J.
3
1986
Mesh-independent spectra in the moving finite element equations. Zbl 0613.65115
Wathen, A. J.
2
1986
On the structure of the moving finite-element equations. Zbl 0583.65080
Wathen, A. J.; Baines, M. J.
6
1985
all top 5

Cited by 2,111 Authors

43 Zhang, Guofeng
41 Wathen, Andrew John
30 Ma, Changfeng
29 Liang, Zhaozheng
27 Stoll, Martin
24 Axelsson, Axel Owe Holger
24 Bai, Zhongzhi
23 Elman, Howard C.
22 Cao, Yang
22 Madzvamuse, Anotida
21 Huang, Ting-Zhu
19 Olshanskii, Maxim A.
18 Neytcheva, Maya G.
17 Pearson, John W.
16 Benzi, Michele
15 Ferronato, Massimiliano
15 Simoncini, Valeria
14 Liu, Jun
13 Hu, Xiaozhe
13 Yang, Aili
12 Badia, Santiago
12 Cao, Zhihao
12 Shang, Yueqiang
12 Silvester, David J.
12 Wei, Yimin
12 Wu, Yujiang
11 Castelletto, Nicola
11 Huang, Na
11 Pestana, Jennifer
11 Rebholz, Leo G.
11 Shao, Xinhui
11 Sousedík, Bedřich
11 Wu, Shulin
10 Benner, Peter
10 Fan, Hongtao
10 Gondzio, Jacek
10 Quarteroni, Alfio M.
10 Wang, Zengqi
10 White, Joshua A.
10 Zheng, Bing
10 Zheng, Qingqing
9 Bergamaschi, Luca
9 Greif, Chen
9 Huang, Weizhang
9 Khojasteh Salkuyeh, Davod
9 Li, Wen
9 Liao, Lidan
9 Mardal, Kent-Andre
9 Serra-Capizzano, Stefano
9 Szyld, Daniel B.
9 Vuik, Cornelis
9 Wu, Shiliang
9 Zhang, Naimin
8 Adler, James H.
8 Cui, Jingjing
8 Garzón-Alvarado, Diego Alexander
8 He, Yinnian
8 Hon, Sean Y.
8 Huang, Zhengge
8 Loghin, Daniel
8 MacLachlan, Scott P.
8 Shadid, John N.
8 Xu, Jinchao
8 Zikatanov, Ludmil T.
7 Auricchio, Ferdinando
7 Cyr, Eric C.
7 Dehghan Takht Fooladi, Mehdi
7 Dou, Yan
7 Golub, Gene Howard
7 Han, Danfu
7 Janna, Carlo
7 Jimack, Peter K.
7 Li, Changjun
7 Li, Jicheng
7 Niu, Qiang
7 Ramage, Alison
7 Ruiz-Baier, Ricardo
7 Wang, Ligong
7 Winther, Ragnar
7 Xu, Zhong
6 Bosch, Jessica
6 Brenner, Susanne Cecelia
6 Deparis, Simone
6 Gambolati, Giuseppe
6 Ghattas, Omar N.
6 Gratton, Serge
6 Guo, Xueping
6 Heil, Matthias
6 Herzog, Roland
6 Howle, Victoria E.
6 Li, Cuixia
6 Maini, Philip Kumar
6 Martín, Alberto F.
6 Morini, Benedetta
6 Oliveira, Aurelio Ribeiro Leite
6 Peng, Xiaofei
6 Ren, Zhi-Ru
6 Reusken, Arnold
6 Rhebergen, Sander
6 Shen, Qin-Qin
...and 2,011 more Authors
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Cited in 189 Serials

132 SIAM Journal on Scientific Computing
115 Computer Methods in Applied Mechanics and Engineering
106 Journal of Computational and Applied Mathematics
97 Journal of Computational Physics
91 Computers & Mathematics with Applications
88 Applied Mathematics and Computation
64 Numerical Algorithms
53 Numerical Linear Algebra with Applications
51 Applied Numerical Mathematics
50 Journal of Scientific Computing
36 Linear Algebra and its Applications
31 Numerische Mathematik
31 SIAM Journal on Matrix Analysis and Applications
30 Computational and Applied Mathematics
29 BIT
25 Mathematics of Computation
25 Computational Optimization and Applications
23 International Journal of Computer Mathematics
19 International Journal for Numerical Methods in Engineering
18 International Journal for Numerical Methods in Fluids
17 SIAM Journal on Numerical Analysis
15 Applied Mathematics Letters
15 Advances in Computational Mathematics
14 East Asian Journal on Applied Mathematics
13 Computers and Fluids
13 Calcolo
10 Mathematics and Computers in Simulation
10 Computational Geosciences
9 Numerical Methods for Partial Differential Equations
9 Journal of Applied Mathematics and Computing
9 Communications in Computational Physics
9 SIAM/ASA Journal on Uncertainty Quantification
8 Journal of Fluid Mechanics
8 ETNA. Electronic Transactions on Numerical Analysis
7 Journal of Mathematical Biology
7 Optimization Methods & Software
7 Computational Methods in Applied Mathematics
6 Computational Mechanics
6 Computing and Visualization in Science
6 Journal of Applied Mathematics
6 Journal of Numerical Mathematics
5 Journal of Engineering Mathematics
5 Computing
5 Numerical Functional Analysis and Optimization
5 Applied Mathematical Modelling
5 SIAM Journal on Optimization
5 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
5 Advances in Applied Mathematics and Mechanics
4 Linear and Multilinear Algebra
4 Bulletin of Mathematical Biology
4 Applications of Mathematics
4 Applied Mathematics. Series B (English Edition)
4 Engineering Analysis with Boundary Elements
4 Mathematical Modelling and Analysis
4 Multiscale Modeling & Simulation
4 International Journal of Computational Methods
4 Journal of Theoretical Biology
3 Computer Physics Communications
3 Journal of Mathematical Analysis and Applications
3 Physica D
3 SIAM Review
3 Journal of Nonlinear Science
3 Communications in Numerical Methods in Engineering
3 Mathematical Problems in Engineering
3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
3 Journal of Inequalities and Applications
3 Communications in Nonlinear Science and Numerical Simulation
3 Discrete and Continuous Dynamical Systems. Series B
3 Central European Journal of Mathematics
3 ISRN Applied Mathematics
2 Applicable Analysis
2 Journal of the Korean Mathematical Society
2 Journal of Optimization Theory and Applications
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 Applied Mathematics and Mechanics. (English Edition)
2 Acta Applicandae Mathematicae
2 Mitteilungen der Gesellschaft für Angewandte Mathematik und Mechanik
2 Parallel Computing
2 Optimization
2 Computers & Operations Research
2 Mathematical and Computer Modelling
2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
2 European Journal of Operational Research
2 Journal of Non-Newtonian Fluid Mechanics
2 SIAM Journal on Applied Mathematics
2 Journal of Mathematical Imaging and Vision
2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
2 Physics of Fluids
2 ELA. The Electronic Journal of Linear Algebra
2 Abstract and Applied Analysis
2 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
2 Archives of Computational Methods in Engineering
2 Mediterranean Journal of Mathematics
2 Acta Numerica
2 Mathematical Biosciences and Engineering
2 Journal of Industrial and Management Optimization
2 Frontiers of Mathematics in China
2 SIAM Journal on Imaging Sciences
2 Journal of Applied Mathematics & Informatics
2 Numerical Algebra, Control and Optimization
...and 89 more Serials
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Cited in 36 Fields

1,358 Numerical analysis (65-XX)
501 Fluid mechanics (76-XX)
362 Partial differential equations (35-XX)
141 Linear and multilinear algebra; matrix theory (15-XX)
139 Calculus of variations and optimal control; optimization (49-XX)
112 Mechanics of deformable solids (74-XX)
90 Operations research, mathematical programming (90-XX)
66 Biology and other natural sciences (92-XX)
31 Computer science (68-XX)
26 Systems theory; control (93-XX)
24 Probability theory and stochastic processes (60-XX)
23 Optics, electromagnetic theory (78-XX)
21 Geophysics (86-XX)
17 Classical thermodynamics, heat transfer (80-XX)
14 Operator theory (47-XX)
13 Information and communication theory, circuits (94-XX)
12 Statistical mechanics, structure of matter (82-XX)
11 Statistics (62-XX)
10 Approximations and expansions (41-XX)
9 Dynamical systems and ergodic theory (37-XX)
5 Combinatorics (05-XX)
5 Real functions (26-XX)
5 Ordinary differential equations (34-XX)
5 Integral equations (45-XX)
4 Harmonic analysis on Euclidean spaces (42-XX)
3 History and biography (01-XX)
3 Functions of a complex variable (30-XX)
3 Difference and functional equations (39-XX)
3 Functional analysis (46-XX)
2 Potential theory (31-XX)
2 Quantum theory (81-XX)
1 Mathematical logic and foundations (03-XX)
1 Group theory and generalizations (20-XX)
1 Measure and integration (28-XX)
1 Mechanics of particles and systems (70-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

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