Edit Profile (opens in new tab) Wathen, Andrew John Co-Author Distance Author ID: wathen.andrew-j Published as: Wathen, Andrew J.; Wathen, A. J.; Wathen, Andy; Wathen, Andrew; Wathen, A.; Wathen, Andy J. more...less Homepage: https://www.maths.ox.ac.uk/people/andy.wathen External Links: MGP · Wikidata · dblp Videos: carmin.tv Documents Indexed: 114 Publications since 1985, including 2 Books and 2 Additional arXiv Preprints 1 Contribution as Editor Co-Authors: 84 Co-Authors with 102 Joint Publications 2,783 Co-Co-Authors 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. all top 5 Serials 16 SIAM Journal on Scientific Computing 9 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 5 BIT 4 International Journal for Numerical Methods in Fluids 4 Numerische Mathematik 4 SIAM Journal on Numerical Analysis 3 Journal of Scientific Computing 3 SIAM Review 3 ETNA. Electronic Transactions on Numerical Analysis 2 Journal of Computational and Applied Mathematics 2 Applied Numerical Mathematics 2 Numerical Algorithms 2 Numerical Mathematics and Scientific Computation 1 Computers & Mathematics with Applications 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 Mathematics Today (Southend-on-Sea) 1 RAIRO. Operations Research 1 Information 1 Acta Numerica 1 Communications in Computational Physics 1 SIAM Journal on Imaging Sciences all top 5 Fields 101 Numerical analysis (65-XX) 38 Fluid mechanics (76-XX) 29 Partial differential equations (35-XX) 10 Calculus of variations and optimal control; optimization (49-XX) 9 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 Computer science (68-XX) 2 Mechanics of deformable solids (74-XX) 2 Geophysics (86-XX) 1 History and biography (01-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications 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 cited Publications top 5 cited Publications 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 all top 5 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. 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