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Wathen, Andrew John

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 Author ID: wathen.andrew-j 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
 Documents Indexed: 106 Publications since 1985, including 2 Books
all top 5

Co-Authors

 10 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 McDonald, Eleanor 2 Budd, Christopher John 2 Hon, Sean Y. 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 Bootland, Niall 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 Shaw, Gareth J. 1 Shen, Jianhong 1 Sloan, Ian Hugh 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.
all top 5

Serials

 15 SIAM Journal on Scientific Computing 8 Numerical Linear Algebra with Applications 7 SIAM Journal on Matrix Analysis and Applications 6 IMA Journal of Numerical Analysis 5 Computer Methods in Applied Mechanics and Engineering 5 Journal of Computational Physics 4 International Journal for Numerical Methods in Fluids 4 BIT 4 Numerische Mathematik 4 SIAM Journal on Numerical Analysis 3 Journal of Scientific Computing 3 ETNA. Electronic Transactions on Numerical Analysis 2 Journal of Computational and Applied Mathematics 2 Applied Numerical Mathematics 2 Numerical Algorithms 2 SIAM Review 2 Numerical Mathematics and Scientific Computation 1 Bulletin of Mathematical Biology 1 Applied Mathematics and Optimization 1 Hiroshima Mathematical Journal 1 Kybernetika 1 Communications in Applied Numerical Methods 1 International Journal of Computer Mathematics 1 Computational Optimization and Applications 1 RAIRO. Operations Research 1 Information 1 Acta Numerica 1 Communications in Computational Physics 1 SIAM Journal on Imaging Sciences
all top 5

Fields

 93 Numerical analysis (65-XX) 36 Fluid mechanics (76-XX) 29 Partial differential equations (35-XX) 10 Calculus of variations and optimal control; optimization (49-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 3 General and overarching topics; collections (00-XX) 3 Approximations and expansions (41-XX) 3 Operations research, mathematical programming (90-XX) 3 Biology and other natural sciences (92-XX) 2 Ordinary differential equations (34-XX) 2 Mechanics of deformable solids (74-XX) 2 Geophysics (86-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Computer science (68-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX)

Citations contained in zbMATH Open

92 Publications have been cited 2,545 times in 1,376 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.
2005
A note on preconditioning for indefinite linear systems. Zbl 0959.65063
Murphy, Malcolm F.; Golub, Gene H.; Wathen, Andrew J.
2000
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.
2014
Constraint preconditioning for indefinite linear systems. Zbl 0960.65052
Keller, Carsten; Gould, Nicholas I. M.; Wathen, Andrew J.
2000
Fast iterative solution of stabilised Stokes systems. II: Using general block preconditioners. Zbl 0810.76044
Silvester, David; Wathen, Andrew
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.
2002
Minimum residual methods for augmented systems. Zbl 0914.65026
Fischer, B.; Ramage, A.; Silvester, D. J.; Wathen, A. J.
1998
Fast iterative solution of stabilised Stokes systems. I: Using simple diagonal preconditions. Zbl 0776.76024
Wathen, Andrew; Silvester, David
1993
A preconditioner for the steady-state Navier–Stokes equations. Zbl 1013.65039
Kay, David; Loghin, Daniel; Wathen, Andrew
2002
Optimal solvers for PDE-constrained optimization. Zbl 1208.49035
Rees, Tyrone; Dollar, H. Sue; Wathen, Andrew J.
2010
Realistic eigenvalue bounds for the Galerkin mass matrix. Zbl 0648.65076
Wathen, A. J.
1987
A new approximation of the Schur complement in preconditioners for PDE-constrained optimization. Zbl 1274.65187
Pearson, John W.; Wathen, Andrew J.
2012
Efficient preconditioning of the linearized Navier-Stokes equations for incompressible flow. Zbl 0983.76051
Silvester, David; Elman, Howard; Kay, David; Wathen, Andrew
2001
An iteration for indefinite systems and its application to the Navier-Stokes equations. Zbl 0912.76053
Golub, Gene H.; Wathen, Andrew J.
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.
2003
Preconditioning. Zbl 1316.65039
Wathen, A. J.
2015
Approximate factorization constraint preconditioners for saddle-point matrices. Zbl 1105.65047
Dollar, H. S.; Wathen, A. J.
2006
Chebyshev semi-iteration in preconditioning for problems including the mass matrix. Zbl 1189.65065
Wathen, Andy; Rees, Tyrone
2009
Regularization-robust preconditioners for time-dependent PDE-constrained optimization problems. Zbl 1263.65035
Pearson, John W.; Stoll, Martin; Wathen, Andrew J.
2012
Analysis of preconditioners for saddle-point problems. Zbl 1067.65048
Loghin, D.; Wathen, A. J.
2004
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.
2005
Natural preconditioning and iterative methods for saddle point systems. Zbl 1338.65078
Pestana, Jennifer; Wathen, Andrew J.
2015
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.
2002
Stopping criteria for iterations in finite element methods. Zbl 1069.65124
Arioli, M.; Loghin, D.; Wathen, A. J.
2005
Combination preconditioning and the Bramble-Pasciak$$^{+}$$ preconditioner. Zbl 1167.65358
Stoll, Martin; Wathen, Andy
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.
2006
Iterative methods for problems in computational fluid dynamics. Zbl 0957.76071
Elman, Howard C.; Silvester, David J.; Wathen, Andrew J.
1997
All-at-once preconditioning in PDE-constrained optimization. Zbl 1195.65083
Rees, Tyrone; Stoll, Martin; Wathen, Andy
2010
Some preconditiong techniques for saddle point problems. Zbl 1152.65425
Benzi, Michele; Wathen, Andrew J.
2008
A class of incomplete orthogonal factorization methods. I: Methods and theories. Zbl 0990.65038
Bai, Zhongzhi; Duff, Iain S.; Wathen, Andrew J.
2001
Fast iterative solvers for convection-diffusion control problems. Zbl 1287.49031
Pearson, John W.; Wathen, Andrew J.
2013
The convergence rate of the minimal residual method for the Stokes problem. Zbl 0837.65026
Wathen, Andrew; Fischer, Bernd; Silvester, David
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.
1999
A preconditioned MINRES method for nonsymmetric Toeplitz matrices. Zbl 1315.65034
Pestana, J.; Wathen, A. J.
2015
Fast solvers for Cahn-Hilliard inpainting. Zbl 1298.68284
Bosch, Jessica; Kay, David; Stoll, Martin; Wathen, Andrew J.
2014
Preconditioning and iterative solution of all-at-once systems for evolutionary partial differential equations. Zbl 1392.65036
McDonald, Eleanor; Pestana, Jennifer; Wathen, Andy
2018
Preconditioners for state-constrained optimal control problems with Moreau-Yosida penalty function. Zbl 1324.49026
Pearson, John W.; Stoll, Martin; Wathen, Andrew J.
2014
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.
2007
Temporal derivatives in the finite-element method on continuously deforming grids. Zbl 0747.65083
Jimack, P. K.; Wathen, A. J.
1991
Iterative solution techniques for the Stokes and Navier-Stokes equations. Zbl 0810.76042
Ramage, Alison; Wathen, Andrew J.
1994
Preconditioning iterative methods for the optimal control of the Stokes equations. Zbl 1300.49009
Rees, Tyrone; Wathen, Andrew J.
2011
Preconditioning for partial differential equation constrained optimization with control constraints. Zbl 1274.65189
Stoll, Martin; Wathen, Andy
2012
An analysis of some element-by-element techniques. Zbl 0694.65013
Wathen, A. J.
1989
Sparse approximate inverses and target matrices. Zbl 1077.65044
Holland, Ruth M.; Wathen, Andy J.; Shaw, Gareth J.
2005
Preconditioning saddle-point systems with applications in optimization. Zbl 1209.65035
Dollar, H. Sue; Gould, Nicholas I. M.; Stoll, Martin; Wathen, Andrew J.
2010
Variational bounds on the entries of the inverse of a matrix. Zbl 0759.15016
Robinson, P. D.; Wathen, A. J.
1992
Preconditioning techniques for Newton’s method for the incompressible Navier-Stokes equations. Zbl 1244.76023
Elman, H. C.; Loghin, D.; Wathen, A. J.
2003
Preconditioning and convergence in the right norm. Zbl 1123.65033
Wathen, Andy
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.
2014
Moving finite element methods for evolutionary problems. II: Applications. Zbl 0665.65072
Johnson, I. W.; Wathen, A. J.; Baines, M. J.
1988
GMRES convergence bounds that depend on the right-hand-side vector. Zbl 1302.65083
Titley-Peloquin, David; Pestana, Jennifer; Wathen, Andrew J.
2014
The antitriangular factorization of saddle point matrices. Zbl 1385.65027
Pestana, J.; Wathen, A. J.
2014
On the choice of preconditioner for minimum residual methods for non-Hermitian matrices. Zbl 1285.65020
Pestana, Jennifer; Wathen, Andrew J.
2013
Fast and robust solvers for time-discretised incompressible Navier-Stokes equations. Zbl 0851.76042
Silvester, D. J.; Wathen, A. J.
1996
Combination preconditioning of saddle point systems for positive definiteness. Zbl 1313.65052
Pestana, J.; Wathen, A. J.
2013
On spectral distribution of kernel matrices related to radial basis functions. Zbl 1356.45001
Wathen, Andrew J.; Zhu, Shengxin
2015
On the structure of the moving finite-element equations. Zbl 0583.65080
Wathen, A. J.; Baines, M. J.
1985
On implicit-factorization constraint preconditioners. Zbl 1108.65040
Dollar, H. Sue; Gould, Nicholas I. M.; Wathen, Andrew J.
2006
Block preconditioners for the discrete incompressible Navier-Stokes equations. Zbl 1019.76023
Elman, Howard C.; Silvester, David J.; Wathen, Andrew J.
2002
Schur complement preconditioners for the Navier-Stokes equations. Zbl 1061.76032
Loghin, D.; Wathen, A. J.
2002
Approximation of the scattering amplitude and linear systems. Zbl 1188.65032
Golub, Gene H.; Stoll, Martin; Wathen, Andy
2008
On preconditioning for finite element equations on irregular grids. Zbl 0807.65049
Ramage, Alison; Wathen, Andrew J.
1994
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.
2015
Local projection stabilized Galerkin approximations for the generalized Stokes problem. Zbl 1229.76054
Nafa, Kamel; Wathen, Andrew J.
2009
A simple proposal for parallel computation over time of an evolutionary process with implicit time stepping. Zbl 1352.65360
McDonald, Eleanor; Wathen, Andy
2016
Preconditioning for nonsymmetry and time-dependence. Zbl 1367.65045
McDonald, Eleanor; Hon, Sean; Pestana, Jennifer; Wathen, Andy
2017
Schur complement preconditioning for elliptic systems of partial differential equations. Zbl 1071.65146
Loghin, D.; Wathen, A. J.
2003
A class of incomplete orthogonal factorization methods. II: Implemetation and results. Zbl 1080.65028
Papadopoulos, A. T.; Duff, I. S.; Wathen, A. J.
2005
The potential theory of several intervals and its applications. Zbl 0983.41006
Shen, J.; Strang, G.; Wathen, A. J.
2001
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
2002
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.
1999
On the best least squares approximation of continuous functions using linear splines with free knots. Zbl 0760.65009
Loach, P. D.; Wathen, A. J.
1991
The convergence of iterative solution methods for symmetric and indefinite linear systems. Zbl 0902.65012
Wathen, A. J.; Fischer, B.; Silvester, D. J.
1998
A new preconditioner for the Oseen equations. Zbl 1268.76036
Wathen, A.; Loghin, D.; Kay, D.; Elman, H.; Silvester, D.
2003
On relaxation of Jacobi iteration for consistent and generalized mass matrices. Zbl 0724.65028
Wathen, A. J.
1991
Moving finite element methods for evolutionary problems. I: Theory. Zbl 0665.65071
Baines, M. J.; Wathen, A. J.
1988
Stabilised finite element methods for steady incompressible flow. Zbl 0957.76025
Blank, Henrik; Rudgyard, Michael; Wathen, Andrew
1999
Convexity and solvability for compactly supported radial basis functions with different shapes. Zbl 1320.65025
Zhu, Shengxin; Wathen, Andrew J.
2015
Circulant preconditioners for analytic functions of Toeplitz matrices. Zbl 1404.65015
Hon, Sean; Wathen, Andrew
2018
Matching Schur complement approximations for certain saddle-point systems. Zbl 1405.65048
Pearson, John W.; Wathen, Andy
2018
Moving finite element modelling of compressible flow. Zbl 0658.76068
Baines, M. J.; Wathen, A. J.
1986
Stability and preconditioning for a hybrid approximation on the sphere. Zbl 1223.65022
Le Gia, Q. T.; Sloan, I. H.; Wathen, Andrew J.
2011
Limited memory solution of bound constrained convex quadratic problems arising in video games. Zbl 1377.90064
Ferris, Michael C.; Wathen, Andrew J.; Armand, Paul
2007
Analysis of preconditioned iterative solvers for incompressible flow problems. Zbl 1426.76290
Melchior, S. A.; Legat, V.; Van Dooren, P.; Wathen, A. J.
2012
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.
2008
Mesh-independent spectra in the moving finite element equations. Zbl 0613.65115
Wathen, A. J.
1986
Spectral bounds and preconditioning methods using element-by-element analysis for Galerkin finite element equations. Zbl 0691.65021
Wathen, A. J.
1988
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.
1998
Optimal moving grids for time-dependent partial differential equations. Zbl 0756.65122
Wathen, A. J.
1992
Singular element preconditioning for the finite element method. Zbl 0785.65106
Wathen, A. J.
1992
A nearly optimal preconditioner for the Navier-Stokes equations. Zbl 1051.65056
Hemmingsson-Frändén, Lina; Wathen, Andrew
2001
An iterative method for skew-symmetric systems. Zbl 1073.65528
Huang, Yu-Guang; Wathen, A. J.; Li, Lei
1999
Preconditioning and iterative solution of all-at-once systems for evolutionary partial differential equations. Zbl 1392.65036
McDonald, Eleanor; Pestana, Jennifer; Wathen, Andy
2018
Circulant preconditioners for analytic functions of Toeplitz matrices. Zbl 1404.65015
Hon, Sean; Wathen, Andrew
2018
Matching Schur complement approximations for certain saddle-point systems. Zbl 1405.65048
Pearson, John W.; Wathen, Andy
2018
Preconditioning for nonsymmetry and time-dependence. Zbl 1367.65045
McDonald, Eleanor; Hon, Sean; Pestana, Jennifer; Wathen, Andy
2017
A simple proposal for parallel computation over time of an evolutionary process with implicit time stepping. Zbl 1352.65360
McDonald, Eleanor; Wathen, Andy
2016
Preconditioning. Zbl 1316.65039
Wathen, A. J.
2015
Natural preconditioning and iterative methods for saddle point systems. Zbl 1338.65078
Pestana, Jennifer; Wathen, Andrew J.
2015
A preconditioned MINRES method for nonsymmetric Toeplitz matrices. Zbl 1315.65034
Pestana, J.; Wathen, A. J.
2015
On spectral distribution of kernel matrices related to radial basis functions. Zbl 1356.45001
Wathen, Andrew J.; Zhu, Shengxin
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.
2015
Convexity and solvability for compactly supported radial basis functions with different shapes. Zbl 1320.65025
Zhu, Shengxin; Wathen, Andrew J.
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.
2014
Fast solvers for Cahn-Hilliard inpainting. Zbl 1298.68284
Bosch, Jessica; Kay, David; Stoll, Martin; Wathen, Andrew J.
2014
Preconditioners for state-constrained optimal control problems with Moreau-Yosida penalty function. Zbl 1324.49026
Pearson, John W.; Stoll, Martin; Wathen, Andrew J.
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.
2014
GMRES convergence bounds that depend on the right-hand-side vector. Zbl 1302.65083
Titley-Peloquin, David; Pestana, Jennifer; Wathen, Andrew J.
2014
The antitriangular factorization of saddle point matrices. Zbl 1385.65027
Pestana, J.; Wathen, A. J.
2014
Fast iterative solvers for convection-diffusion control problems. Zbl 1287.49031
Pearson, John W.; Wathen, Andrew J.
2013
On the choice of preconditioner for minimum residual methods for non-Hermitian matrices. Zbl 1285.65020
Pestana, Jennifer; Wathen, Andrew J.
2013
Combination preconditioning of saddle point systems for positive definiteness. Zbl 1313.65052
Pestana, J.; Wathen, A. J.
2013
A new approximation of the Schur complement in preconditioners for PDE-constrained optimization. Zbl 1274.65187
Pearson, John W.; Wathen, Andrew J.
2012
Regularization-robust preconditioners for time-dependent PDE-constrained optimization problems. Zbl 1263.65035
Pearson, John W.; Stoll, Martin; Wathen, Andrew J.
2012
Preconditioning for partial differential equation constrained optimization with control constraints. Zbl 1274.65189
Stoll, Martin; Wathen, Andy
2012
Analysis of preconditioned iterative solvers for incompressible flow problems. Zbl 1426.76290
Melchior, S. A.; Legat, V.; Van Dooren, P.; Wathen, A. J.
2012
Preconditioning iterative methods for the optimal control of the Stokes equations. Zbl 1300.49009
Rees, Tyrone; Wathen, Andrew J.
2011
Stability and preconditioning for a hybrid approximation on the sphere. Zbl 1223.65022
Le Gia, Q. T.; Sloan, I. H.; Wathen, Andrew J.
2011
Optimal solvers for PDE-constrained optimization. Zbl 1208.49035
Rees, Tyrone; Dollar, H. Sue; Wathen, Andrew J.
2010
All-at-once preconditioning in PDE-constrained optimization. Zbl 1195.65083
Rees, Tyrone; Stoll, Martin; Wathen, Andy
2010
Preconditioning saddle-point systems with applications in optimization. Zbl 1209.65035
Dollar, H. Sue; Gould, Nicholas I. M.; Stoll, Martin; Wathen, Andrew J.
2010
Chebyshev semi-iteration in preconditioning for problems including the mass matrix. Zbl 1189.65065
Wathen, Andy; Rees, Tyrone
2009
Local projection stabilized Galerkin approximations for the generalized Stokes problem. Zbl 1229.76054
Nafa, Kamel; Wathen, Andrew J.
2009
Combination preconditioning and the Bramble-Pasciak$$^{+}$$ preconditioner. Zbl 1167.65358
Stoll, Martin; Wathen, Andy
2008
Some preconditiong techniques for saddle point problems. Zbl 1152.65425
Benzi, Michele; Wathen, Andrew J.
2008
Approximation of the scattering amplitude and linear systems. Zbl 1188.65032
Golub, Gene H.; Stoll, Martin; Wathen, Andy
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.
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.
2007
Preconditioning and convergence in the right norm. Zbl 1123.65033
Wathen, Andy
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
2007
Approximate factorization constraint preconditioners for saddle-point matrices. Zbl 1105.65047
Dollar, H. S.; Wathen, A. J.
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.
2006
On implicit-factorization constraint preconditioners. Zbl 1108.65040
Dollar, H. Sue; Gould, Nicholas I. M.; Wathen, Andrew J.
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.
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.
2005
Stopping criteria for iterations in finite element methods. Zbl 1069.65124
Arioli, M.; Loghin, D.; Wathen, A. J.
2005
Sparse approximate inverses and target matrices. Zbl 1077.65044
Holland, Ruth M.; Wathen, Andy J.; Shaw, Gareth J.
2005
A class of incomplete orthogonal factorization methods. II: Implemetation and results. Zbl 1080.65028
Papadopoulos, A. T.; Duff, I. S.; Wathen, A. J.
2005
Analysis of preconditioners for saddle-point problems. Zbl 1067.65048
Loghin, D.; Wathen, A. J.
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.
2003
Preconditioning techniques for Newton’s method for the incompressible Navier-Stokes equations. Zbl 1244.76023
Elman, H. C.; Loghin, D.; Wathen, A. J.
2003
Schur complement preconditioning for elliptic systems of partial differential equations. Zbl 1071.65146
Loghin, D.; Wathen, A. J.
2003
A new preconditioner for the Oseen equations. Zbl 1268.76036
Wathen, A.; Loghin, D.; Kay, D.; Elman, H.; Silvester, D.
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.
2002
A preconditioner for the steady-state Navier–Stokes equations. Zbl 1013.65039
Kay, David; Loghin, Daniel; Wathen, Andrew
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.
2002
Block preconditioners for the discrete incompressible Navier-Stokes equations. Zbl 1019.76023
Elman, Howard C.; Silvester, David J.; Wathen, Andrew J.
2002
Schur complement preconditioners for the Navier-Stokes equations. Zbl 1061.76032
Loghin, D.; Wathen, A. J.
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
2002
Efficient preconditioning of the linearized Navier-Stokes equations for incompressible flow. Zbl 0983.76051
Silvester, David; Elman, Howard; Kay, David; Wathen, Andrew
2001
A class of incomplete orthogonal factorization methods. I: Methods and theories. Zbl 0990.65038
Bai, Zhongzhi; Duff, Iain S.; Wathen, Andrew J.
2001
The potential theory of several intervals and its applications. Zbl 0983.41006
Shen, J.; Strang, G.; Wathen, A. J.
2001
A nearly optimal preconditioner for the Navier-Stokes equations. Zbl 1051.65056
Hemmingsson-Frändén, Lina; Wathen, Andrew
2001
A note on preconditioning for indefinite linear systems. Zbl 0959.65063
Murphy, Malcolm F.; Golub, Gene H.; Wathen, Andrew J.
2000
Constraint preconditioning for indefinite linear systems. Zbl 0960.65052
Keller, Carsten; Gould, Nicholas I. M.; Wathen, Andrew J.
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.
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.
1999
Stabilised finite element methods for steady incompressible flow. Zbl 0957.76025
Blank, Henrik; Rudgyard, Michael; Wathen, Andrew
1999
An iterative method for skew-symmetric systems. Zbl 1073.65528
Huang, Yu-Guang; Wathen, A. J.; Li, Lei
1999
Minimum residual methods for augmented systems. Zbl 0914.65026
Fischer, B.; Ramage, A.; Silvester, D. J.; Wathen, A. J.
1998
An iteration for indefinite systems and its application to the Navier-Stokes equations. Zbl 0912.76053
Golub, Gene H.; Wathen, Andrew J.
1998
The convergence of iterative solution methods for symmetric and indefinite linear systems. Zbl 0902.65012
Wathen, A. J.; Fischer, B.; Silvester, D. J.
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.
1998
Iterative methods for problems in computational fluid dynamics. Zbl 0957.76071
Elman, Howard C.; Silvester, David J.; Wathen, Andrew J.
1997
Fast and robust solvers for time-discretised incompressible Navier-Stokes equations. Zbl 0851.76042
Silvester, D. J.; Wathen, A. J.
1996
The convergence rate of the minimal residual method for the Stokes problem. Zbl 0837.65026
Wathen, Andrew; Fischer, Bernd; Silvester, David
1995
Fast iterative solution of stabilised Stokes systems. II: Using general block preconditioners. Zbl 0810.76044
Silvester, David; Wathen, Andrew
1994
Iterative solution techniques for the Stokes and Navier-Stokes equations. Zbl 0810.76042
Ramage, Alison; Wathen, Andrew J.
1994
On preconditioning for finite element equations on irregular grids. Zbl 0807.65049
Ramage, Alison; Wathen, Andrew J.
1994
Fast iterative solution of stabilised Stokes systems. I: Using simple diagonal preconditions. Zbl 0776.76024
Wathen, Andrew; Silvester, David
1993
Variational bounds on the entries of the inverse of a matrix. Zbl 0759.15016
Robinson, P. D.; Wathen, A. J.
1992
Optimal moving grids for time-dependent partial differential equations. Zbl 0756.65122
Wathen, A. J.
1992
Singular element preconditioning for the finite element method. Zbl 0785.65106
Wathen, A. J.
1992
Temporal derivatives in the finite-element method on continuously deforming grids. Zbl 0747.65083
Jimack, P. K.; Wathen, A. J.
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.
1991
On relaxation of Jacobi iteration for consistent and generalized mass matrices. Zbl 0724.65028
Wathen, A. J.
1991
An analysis of some element-by-element techniques. Zbl 0694.65013
Wathen, A. J.
1989
Moving finite element methods for evolutionary problems. II: Applications. Zbl 0665.65072
Johnson, I. W.; Wathen, A. J.; Baines, M. J.
1988
Moving finite element methods for evolutionary problems. I: Theory. Zbl 0665.65071
Baines, M. J.; Wathen, A. J.
1988
Spectral bounds and preconditioning methods using element-by-element analysis for Galerkin finite element equations. Zbl 0691.65021
Wathen, A. J.
1988
Realistic eigenvalue bounds for the Galerkin mass matrix. Zbl 0648.65076
Wathen, A. J.
1987
Moving finite element modelling of compressible flow. Zbl 0658.76068
Baines, M. J.; Wathen, A. J.
1986
Mesh-independent spectra in the moving finite element equations. Zbl 0613.65115
Wathen, A. J.
1986
On the structure of the moving finite-element equations. Zbl 0583.65080
Wathen, A. J.; Baines, M. J.
1985
all top 5

Cited by 1,810 Authors

 39 Zhang, Guofeng 35 Wathen, Andrew John 30 Ma, Changfeng 24 Bai, Zhongzhi 22 Elman, Howard C. 22 Stoll, Martin 21 Huang, Ting-Zhu 20 Axelsson, Axel Owe Holger 20 Madzvamuse, Anotida 19 Cao, Yang 19 Liang, Zhaozheng 18 Olshanskii, Maxim A. 15 Benzi, Michele 15 Neytcheva, Maya G. 15 Pearson, John W. 12 Badia, Santiago 12 Cao, Zhihao 12 Ferronato, Massimiliano 12 Silvester, David J. 12 Simoncini, Valeria 12 Wei, Yimin 12 Yang, Aili 11 Huang, Na 11 Pestana, Jennifer 11 Rebholz, Leo G. 11 Shang, Yueqiang 11 Wu, Yujiang 10 Benner, Peter 10 Fan, Hongtao 10 Gondzio, Jacek 10 Hu, Xiaozhe 10 Quarteroni, Alfio M. 10 Zheng, Qingqing 9 Greif, Chen 9 Li, Wen 9 Sousedík, Bedřich 9 Szyld, Daniel B. 9 Wang, Zengqi 9 Zhang, Naimin 9 Zheng, Bing 8 Bergamaschi, Luca 8 Garzón-Alvarado, Diego Alexander 8 Liao, Lidan 8 Shao, Xinhui 8 Vuik, Cornelis 8 Wu, Shiliang 7 Auricchio, Ferdinando 7 Castelletto, Nicola 7 Cui, Jingjing 7 Han, Danfu 7 Huang, Zhengge 7 Jimack, Peter K. 7 Li, Changjun 7 Loghin, Daniel 7 MacLachlan, Scott P. 7 Mardal, Kent-Andre 7 Ramage, Alison 7 Shadid, John N. 7 Winther, Ragnar 7 Wu, Shulin 7 Xu, Jinchao 6 Deparis, Simone 6 Dou, Yan 6 Gambolati, Giuseppe 6 Golub, Gene Howard 6 Gratton, Serge 6 Guo, Xueping 6 He, Yinnian 6 Heil, Matthias 6 Hon, Sean Y. 6 Huang, Weizhang 6 Khojasteh Salkuyeh, Davod 6 Li, Cuixia 6 Maini, Philip Kumar 6 Martín, Alberto F. 6 Morini, Benedetta 6 Niu, Qiang 6 Oliveira, Aurelio Ribeiro Leite 6 Peng, Xiaofei 6 Ren, Zhi-Ru 6 Reusken, Arnold 6 Serra-Capizzano, Stefano 6 Shen, Shuqian 6 Šístek, Jakub 6 Veneziani, Alessandro 6 Wang, Ligong 6 White, Joshua A. 6 Xu, Zhong 6 Yang, Xi 6 Zhu, Xinyun 6 Zikatanov, Ludmil T. 5 Adler, James H. 5 Bosch, Jessica 5 Brenner, Susanne Cecelia 5 Burda, Pavel 5 Chen, Guoliang 5 Chen, Long 5 Cyr, Eric C. 5 De Simone, Valentina 5 Dehghan Takht Fooladi, Mehdi ...and 1,710 more Authors
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Cited in 152 Serials

 102 SIAM Journal on Scientific Computing 100 Computer Methods in Applied Mechanics and Engineering 100 Journal of Computational and Applied Mathematics 84 Applied Mathematics and Computation 80 Journal of Computational Physics 77 Computers & Mathematics with Applications 60 Numerical Algorithms 53 Numerical Linear Algebra with Applications 49 Applied Numerical Mathematics 41 Journal of Scientific Computing 35 Linear Algebra and its Applications 28 Numerische Mathematik 28 SIAM Journal on Matrix Analysis and Applications 24 Computational Optimization and Applications 24 Computational and Applied Mathematics 23 Mathematics of Computation 22 BIT 19 International Journal for Numerical Methods in Engineering 19 International Journal of Computer Mathematics 18 International Journal for Numerical Methods in Fluids 14 SIAM Journal on Numerical Analysis 14 Applied Mathematics Letters 12 Computers and Fluids 11 Calcolo 10 Computational Geosciences 10 East Asian Journal on Applied Mathematics 9 Numerical Methods for Partial Differential Equations 9 Advances in Computational Mathematics 9 SIAM/ASA Journal on Uncertainty Quantification 8 Journal of Fluid Mechanics 7 Journal of Mathematical Biology 7 Optimization Methods & Software 6 Mathematics and Computers in Simulation 6 Computational Mechanics 6 Computing and Visualization in Science 6 Journal of Applied Mathematics 5 Journal of Engineering Mathematics 5 Computing 5 Numerical Functional Analysis and Optimization 5 Applied Mathematical Modelling 5 SIAM Journal on Optimization 5 ETNA. Electronic Transactions on Numerical Analysis 5 Computational Methods in Applied Mathematics 5 Journal of Numerical Mathematics 5 Journal of Applied Mathematics and Computing 4 Bulletin of Mathematical Biology 4 Applied Mathematics. Series B (English Edition) 4 Multiscale Modeling & Simulation 3 Computer Physics Communications 3 Journal of Mathematical Analysis and Applications 3 Linear and Multilinear Algebra 3 Physica D 3 Journal of Nonlinear Science 3 Communications in Numerical Methods in Engineering 3 Engineering Analysis with Boundary Elements 3 Mathematical Problems in Engineering 3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 3 Communications in Nonlinear Science and Numerical Simulation 3 Central European Journal of Mathematics 3 ISRN Applied Mathematics 3 Journal of Theoretical Biology 2 Applicable Analysis 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 Applications of Mathematics 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 Journal of Non-Newtonian Fluid Mechanics 2 SIAM Review 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 Journal of Inequalities and Applications 2 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 2 Archives of Computational Methods in Engineering 2 Discrete and Continuous Dynamical Systems. Series B 2 International Journal of Computational Methods 2 Acta Numerica 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Frontiers of Mathematics in China 2 SIAM Journal on Imaging Sciences 2 S$$\vec{\text{e}}$$MA Journal 2 SMAI Journal of Computational Mathematics 1 Communications in Mathematical Physics 1 International Journal of Control 1 International Journal for Numerical and Analytical Methods in Geomechanics 1 Inverse Problems 1 Journal d’Analyse Mathématique 1 Journal of Statistical Physics 1 Mathematical Biosciences 1 Mathematical Methods in the Applied Sciences 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik ...and 52 more Serials
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Cited in 34 Fields

 1,153 Numerical analysis (65-XX) 415 Fluid mechanics (76-XX) 302 Partial differential equations (35-XX) 122 Linear and multilinear algebra; matrix theory (15-XX) 114 Calculus of variations and optimal control; optimization (49-XX) 94 Mechanics of deformable solids (74-XX) 75 Operations research, mathematical programming (90-XX) 58 Biology and other natural sciences (92-XX) 22 Computer science (68-XX) 22 Systems theory; control (93-XX) 20 Geophysics (86-XX) 19 Probability theory and stochastic processes (60-XX) 18 Optics, electromagnetic theory (78-XX) 15 Classical thermodynamics, heat transfer (80-XX) 13 Operator theory (47-XX) 11 Information and communication theory, circuits (94-XX) 10 Approximations and expansions (41-XX) 9 Dynamical systems and ergodic theory (37-XX) 9 Statistics (62-XX) 8 Statistical mechanics, structure of matter (82-XX) 6 Ordinary differential equations (34-XX) 4 Real functions (26-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Integral equations (45-XX) 3 History and biography (01-XX) 3 Combinatorics (05-XX) 3 Difference and functional equations (39-XX) 3 Functional analysis (46-XX) 2 Functions of a complex variable (30-XX) 2 Potential theory (31-XX) 1 Group theory and generalizations (20-XX) 1 Measure and integration (28-XX) 1 Mechanics of particles and systems (70-XX) 1 Quantum theory (81-XX)