Edit Profile (opens in new tab) Elman, Howard C. Co-Author Distance Author ID: elman.howard-c Published as: Elman, Howard C.; Elman, Howard; Elman, H. C.; Elman, H. more...less Documents Indexed: 104 Publications since 1983, including 2 Books and 5 Additional arXiv Preprints 7 Contributions as Editor Co-Authors: 96 Co-Authors with 99 Joint Publications 2,833 Co-Co-Authors all top 5 Co-Authors 12 single-authored 15 Silvester, David J. 8 Wathen, Andrew John 7 Shadid, John N. 7 Tuminaro, Ray S. 6 Golub, Gene Howard 6 Lee, Kookjin 5 O’Leary, Dianne P. 5 Ramage, Alison 4 Babuška, Ivo 4 Ernst, Oliver G. 4 Howle, Victoria E. 4 Powell, Catherine Elizabeth 4 Sousedík, Bedřich 4 Walker, Homer F. 3 Benzi, Michele 3 Duff, Iain S. 3 Freund, Roland W. 3 Kelley, Tim 3 Kilmer, Misha Elena 3 Phillips, Edward G. 3 Saylor, Paul E. 3 Schultz, Martin H. 3 Shuttleworth, Robert R. 3 Su, Tengfei 3 Xue, Fei 2 Ashby, Steve 2 Bui, Quan M. 2 Cai, Xiao-Chuan 2 Chernesky, Michael P. 2 Cyr, Eric C. 2 Eisenstat, Stanley C. 2 Forstall, Virginia 2 Furnival, Darran G. 2 Greenbaum, Anne 2 Jordan, Kirk E. 2 Kay, David A. 2 Lee, Dongeun 2 Leyffer, Sven 2 Liang, Jiaxing 2 Loghin, Daniel 2 Manteuffel, Thomas A. 2 McCormick, Steve Fahrney 2 Miller, Christopher W. 2 Onwunta, Akwum 2 Parter, Seymour V. 2 Pawlowski, Roger P. 2 Sánchez-Vizuet, Tonatiuh 2 Shih, Yintzer 2 Widlund, Olof B. 2 Woodward, Carol S. 2 Wu, Minghao 2 Yavneh, Irad 1 Agrón, Elvira 1 Antil, Harbir 1 Bai, Zhaojun 1 Bourne, David P. 1 Carlberg, Kevin T. 1 Chan, Tony Fan-Cheong 1 Cho, Heyrim 1 Davie, Kayla D. 1 Freund, Ronal 1 Guo, Xianzhong 1 Higham, Nicholas J. 1 Keyes, David Elliot 1 Knoll, Dana A. 1 Lee, Dennis K.-Y. 1 Liao, Qifeng 1 Livshits, Irene 1 Long, Kevin R. 1 Lott, P. Aaron 1 Markley, K. 1 Meerbergen, Karl 1 Mehrmann, Volker 1 Mihajlović, Milan D. 1 Moulton, David J. 1 Naiman, Aaron E. 1 Olson, Luke N. 1 Osborn, John E. 1 Phipps, Eric T. 1 Price, Randy 1 Rostami, Minghao W. 1 Saad, Yousef 1 Sherman, Andrew H. 1 Spence, Alastair 1 Starke, Gerhard 1 Stewart, Michael I. 1 Streit, Roy L. 1 Templeton, Jeremy A. 1 Tuminaro, Raymond S. 1 Ullmann, Elisabeth 1 Van der Vorst, Henk Albertus 1 Verma, Deepanshu 1 Wu, Chin-Tien 1 Zavorin, Ilya 1 Zhang, Guodong 1 Zhang, Xuejun all top 5 Serials 20 SIAM Journal on Scientific Computing 8 Journal of Computational Physics 6 SIAM Journal on Matrix Analysis and Applications 5 Computer Methods in Applied Mechanics and Engineering 5 Mathematics of Computation 5 SIAM Journal on Numerical Analysis 4 IMA Journal of Numerical Analysis 4 BIT 4 Numerische Mathematik 4 SIAM Journal on Scientific and Statistical Computing 4 SIAM/ASA Journal on Uncertainty Quantification 3 International Journal for Numerical Methods in Fluids 3 Linear Algebra and its Applications 2 Journal of Computational and Applied Mathematics 2 Parallel Computing 2 SIAM Review 2 International Journal for Uncertainty Quantification 2 Numerical Mathematics and Scientific Computation 1 Computer Physics Communications 1 ACM Transactions on Mathematical Software 1 International Journal for Numerical Methods in Engineering 1 Applied Numerical Mathematics 1 Numerical Methods for Partial Differential Equations 1 Journal of Scientific Computing 1 Applications of Mathematics 1 ETNA. Electronic Transactions on Numerical Analysis 1 Communications on Pure and Applied Analysis all top 5 Fields 98 Numerical analysis (65-XX) 47 Partial differential equations (35-XX) 34 Fluid mechanics (76-XX) 14 Probability theory and stochastic processes (60-XX) 7 General and overarching topics; collections (00-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 3 Dynamical systems and ergodic theory (37-XX) 2 Statistics (62-XX) 2 Mechanics of deformable solids (74-XX) 1 Ordinary differential equations (34-XX) 1 Approximations and expansions (41-XX) 1 Computer science (68-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Operations research, mathematical programming (90-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 93 Publications have been cited 3,165 times in 2,094 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. 413 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. 311 2014 Variational iterative methods for nonsymmetric systems of linear equations. Zbl 0524.65019 Eisenstat, Stanley C.; Elman, Howard C.; Schultz, Martin H. 272 1983 Inexact and preconditioned Uzawa algorithms for saddle point problems. Zbl 0815.65041 Elman, Howard C.; Golub, Gene H. 251 1994 Algorithm 866: IFISS, a Matlab toolbox for modelling incompressible flow. Zbl 1365.65326 Elman, Howard C.; Ramage, Alison; Silvester, David J. 172 2007 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. 105 2002 Preconditioning for the steady-state Navier–Stokes equations with low viscosity. Zbl 0935.76057 Elman, Howard C. 103 1999 Fast nonsymmetric iterations and preconditioning for Navier-Stokes equations. Zbl 0843.65080 Elman, Howard; Silvester, David 88 1996 A multigrid method enhanced by Krylov subspace iteration for discrete Helmholtz equations. Zbl 1004.65134 Elman, Howard C.; Ernst, Oliver G.; O’Leary, Dianne P. 88 2001 Block preconditioners based on approximate commutators. Zbl 1100.65042 Elman, Howard; Howle, Victoria E.; Shadid, John; Shuttleworth, Robert; Tuminaro, Ray 76 2006 IFISS: A computational laboratory for investigating incompressible flow problems. Zbl 1426.76645 Elman, Howard C.; Ramage, Alison; Silvester, David J. 75 2014 Block-diagonal preconditioning for spectral stochastic finite-element systems. Zbl 1169.65007 Powell, Catherine E.; Elman, Howard C. 74 2009 Efficient preconditioning of the linearized Navier-Stokes equations for incompressible flow. Zbl 0983.76051 Silvester, David; Elman, Howard; Kay, David; Wathen, Andrew 71 2001 A taxonomy and comparison of parallel block multi-level preconditioners for the incompressible Navier-Stokes equations. Zbl 1290.76023 Elman, Howard; Howle, V. E.; Shadid, John; Shuttleworth, Robert; Tuminaro, Ray 68 2008 Preconditioners for saddle point problems arising in computational fluid dynamics. Zbl 1168.76348 Elman, Howard C. 60 2002 Iterative methods for cyclically reduced non-self-adjoint linear systems. Zbl 0699.65021 Elman, Howard C.; Golub, Gene H. 34 1990 A stability analysis of incomplete LU factorizations. Zbl 0621.65024 Elman, Howard C. 32 1986 Reduced basis collocation methods for partial differential equations with random coefficients. Zbl 1282.35424 Elman, Howard C.; Liao, Qifeng 32 2013 Preconditioning by fast direct methods for nonself-adjoint nonseparable elliptic equations. Zbl 0619.65093 Elman, Howard C.; Schultz, Martin H. 31 1986 Block preconditioners for stable mixed nodal and edge finite element representations of incompressible resistive MHD. Zbl 1349.76903 Phillips, Edward G.; Shadid, John N.; Cyr, Eric C.; Elman, Howard C.; Pawlowski, Roger P. 29 2016 Fourier analysis of iterative methods for elliptic problems. Zbl 0684.65092 Chan, Tony F.; Elman, Howard C. 27 1989 Multigrid and Krylov subspace methods for the discrete Stokes equations. Zbl 0865.76078 Elman, Howard C. 27 1996 Preconditioning strategies for models of incompressible flow. Zbl 1203.76098 Elman, H. C. 26 2005 A block preconditioner for an exact penalty formulation for stationary MHD. Zbl 1308.76333 Phillips, Edward G.; Elman, Howard C.; Cyr, Eric C.; Shadid, John N.; Pawlowski, Roger P. 26 2014 Assessment of collocation and Galerkin approaches to linear diffusion equations with random data. Zbl 1229.65026 Elman, Howard C.; Miller, Christopher W.; Phipps, Eric T.; Tuminaro, Raymond S. 25 2011 Boundary conditions in approximate commutator preconditioners for the Navier-Stokes equations. Zbl 1391.76539 Elman, Howard C.; Tuminaro, Ray S. 24 2009 Efficient iterative algorithms for the stochastic finite element method with application to acoustic scattering. Zbl 1091.76032 Elman, Howard C.; Ernst, Oliver G.; O’Leary, Dianne P.; Stewart, Michael 24 2005 Least squares preconditioners for stabilized discretizations of the Navier-Stokes equations. Zbl 1166.65326 Elman, Howard; Howle, Victoria E.; Shadid, John; Silvester, David; Tuminaro, Ray 24 2007 A hybrid Chebyshev Krylov subspace algorithm for solving nonsymmetric systems of linear equations. Zbl 0613.65031 Elman, Howard C.; Saad, Youcef; Saylor, Paul E. 24 1986 Modified streamline diffusion schemes for convection-diffusion problems. Zbl 0957.76035 Shih, Yin-Tzer; Elman, Howard C. 23 1999 Efficient iterative solvers for stochastic Galerkin discretizations of log-transformed random diffusion problems. Zbl 1251.35200 Ullmann, Elisabeth; Elman, Howard C.; Ernst, Oliver G. 22 2012 Iterative methods for problems in computational fluid dynamics. Zbl 0957.76071 Elman, Howard C.; Silvester, David J.; Wathen, Andrew J. 21 1997 Complete stagnation of GMRES. Zbl 1025.65022 Zavorin, Ilya; O’Leary, Dianne P.; Elman, Howard 21 2003 Solving the stochastic steady-state diffusion problem using multigrid. Zbl 1141.65004 Elman, Howard; Furnival, Darran 19 2007 Iterative methods for cyclically reduced non-self-adjoint linear systems. II. Zbl 0716.65096 Elman, Howard C.; Golub, Gene H. 18 1991 A parallel block multi-level preconditioner for the 3D incompressible Navier-Stokes equations. Zbl 1061.76058 Elman, Howard C.; Howle, Victoria E.; Shadid, John N.; Tuminaro, Ray S. 18 2003 Fast iterative solvers for buoyancy driven flow problems. Zbl 1369.76040 Elman, Howard; Mihajlović, Milan; Silvester, David 17 2011 Efficient iterative solution of the three-dimensional Helmholtz equation. Zbl 0929.65089 Elman, Howard C.; O’Leary, Dianne P. 17 1998 Relaxed and stabilized incomplete factorizations for non-self-adjoint linear systems. Zbl 0694.65011 Elman, Howard C. 17 1989 Line iterative methods for cyclically reduced discrete convection- diffusion problems. Zbl 0752.65067 Elman, Howard C.; Golub, Gene H. 15 1992 Fast inexact subspace iteration for generalized eigenvalue problems with spectral transformation. Zbl 1253.65059 Xue, Fei; Elman, Howard C. 15 2011 Convergence analysis of iterative solvers in inexact Rayleigh quotient iteration. Zbl 1201.65060 Xue, Fei; Elman, Howard C. 14 2010 Stochastic Galerkin methods for the steady-state Navier-Stokes equations. Zbl 1349.76268 Sousedík, Bedřich; Elman, Howard C. 13 2016 Algebraic multigrid preconditioners for multiphase flow in porous media. Zbl 1392.65024 Bui, Quan M.; Elman, Howard C.; Moulton, David J. 13 2017 Eigenanalysis of some preconditioned Helmholtz problems. Zbl 0934.65119 Elman, Howard C.; O’Leary, Dianne P. 12 1999 Preconditioning techniques for Newton’s method for the incompressible Navier-Stokes equations. Zbl 1244.76023 Elman, H. C.; Loghin, D.; Wathen, A. J. 12 2003 Some aspects of parallel implementation of the finite-element method on message passing architectures. Zbl 0693.65077 Babuška, I.; Elman, H. C. 12 1989 Analysis and comparison of geometric and algebraic multigrid for convection-diffusion equations. Zbl 1133.65102 Wu, Chin-Tien; Elman, Howard C. 12 2006 A preconditioned low-rank projection method with a rank-reduction scheme for stochastic partial differential equations. Zbl 1373.60126 Lee, Kookjin; Elman, Howard C. 11 2017 Lyapunov inverse iteration for identifying Hopf bifurcations in models of incompressible flow. Zbl 1247.65047 Elman, Howard C.; Meerbergen, Karl; Spence, Alastair; Wu, Minghao 10 2012 Fast inexact implicitly restarted Arnoldi method for generalized eigenvalue problems with spectral transformation. Zbl 1263.65041 Xue, Fei; Elman, Howard C. 10 2012 An analysis of smoothing effects of upwinding strategies for the convection-diffusion equation. Zbl 1017.65090 Elman, Howard C.; Ramage, Alison 10 2002 Iterative methods for stabilized discrete convection-diffusion problems. Zbl 0980.65127 Shih, Yin-Tzer; Elman, Howard C. 9 2000 Polynomial iteration for nonsymmetric indefinite linear systems. Zbl 0605.65020 Elman, Howard C.; Streit, Roy L. 9 1986 Preconditioning techniques for reduced basis methods for parameterized elliptic partial differential equations. Zbl 1457.65174 Elman, Howard C.; Forstall, Virginia 9 2015 A stochastic approach to uncertainty in the equations of MHD kinematics. Zbl 1351.76310 Phillips, Edward G.; Elman, Howard C. 9 2015 A low-rank multigrid method for the stochastic steady-state diffusion problem. Zbl 1390.35437 Elman, Howard C.; Su, Tengfei 8 2018 Parallel implementation of the \(hp\)-version of the finite element method on a shared-memory architecture. Zbl 0765.65101 Babuška, I.; Elman, H. C.; Markley, K. 8 1992 Inverse subspace iteration for spectral stochastic finite element methods. Zbl 1336.65060 Sousedík, Bedřich; Elman, Howard C. 8 2016 A characterisation of oscillations in the discrete two-dimensional convection-diffusion equation. Zbl 1008.65083 Elman, Howard C.; Ramage, Alison 8 2003 Block preconditioners for the discrete incompressible Navier-Stokes equations. Zbl 1019.76023 Elman, Howard C.; Silvester, David J.; Wathen, Andrew J. 7 2002 A note on conjugate gradient convergence. Zbl 0905.65047 Naiman, Aaron E.; Babuška, Ivo M.; Elman, Howard C. 7 1997 Ordering effects on relaxation methods applied to the discrete one- dimensional convection-diffusion equation. Zbl 0790.65027 Elman, Howard C.; Chernesky, Michael P. 7 1993 Performance of the \(h-p\) version of the finite element method with various elements. Zbl 0780.73071 Babuška, I.; Elman, H. C. 7 1993 Ordering techniques for the preconditioned conjugate gradient method on parallel computers. Zbl 0798.65038 Elman, Howard C.; Agrón, Elvira 7 1989 \(H(\text{div})\) preconditioning for a mixed finite element formulation of the diffusion problem with random data. Zbl 1216.65155 Elman, Howard C.; Furnival, Darran G.; Powell, Catherine E. 7 2010 A low-rank solver for the Navier-Stokes equations with uncertain viscosity. Zbl 1442.35568 Lee, Kookjin; Elman, Howard C.; Sousedík, Bedřich 7 2019 Low-rank solution methods for stochastic eigenvalue problems. Zbl 1420.65046 Elman, Howard C.; Su, Tengfei 7 2019 Algebraic analysis of the hierarchical basis preconditioner. Zbl 0828.65032 Elman, Howard C.; Zhang, Xuejun 6 1995 Ordering effects on relaxation methods applied to the discrete convection-diffusion equation. Zbl 0803.65033 Elman, Howard C.; Chernesky, Michael P. 6 1994 Lyapunov inverse iteration for computing a few rightmost eigenvalues of large generalized eigenvalue problems. Zbl 1425.65053 Elman, Howard C.; Wu, Minghao 6 2013 A new preconditioner for the Oseen equations. Zbl 1268.76036 Wathen, A.; Loghin, D.; Kay, D.; Elman, H.; Silvester, D. 5 2003 Numerical solution of the parameterized steady-state Navier-Stokes equations using empirical interpolation methods. Zbl 1439.76064 Elman, Howard C.; Forstall, Virginia 5 2017 Semi-smooth Newton methods for nonlinear complementarity formulation of compositional two-phase flow in porous media. Zbl 07504691 Bui, Quan M.; Elman, Howard C. 5 2020 Approximate Schur complement preconditioners on serial and parallel computers. Zbl 0678.65018 Elman, Howard C. 4 1989 Fast iterative solver for convection-diffusion systems with spectral elements. Zbl 1209.65130 Lott, P. Aaron; Elman, Howard 4 2011 A non-self-adjoint quadratic eigenvalue problemdescribing a fluid-solid interaction. II: Analysis of convergence. Zbl 1153.74015 Bourne, David; Elman, Howard; Osborn, John E. 4 2009 Multigrid and Krylov subspace methods for the discrete Stokes equations. Zbl 0814.65119 Elman, Howard C. 4 1994 Use of linear algebra kernels to build an efficient finite element solver. Zbl 0875.68511 Elman, Howard C.; Lee, Dennis K.-Y. 3 1995 Efficient iterative algorithms for linear stability analysis of incompressible flows. Zbl 1425.65052 Elman, Howard C.; Rostami, Minghao W. 3 2016 A low-rank solver for the stochastic unsteady Navier-Stokes problem. Zbl 1442.76065 Elman, Howard C.; Su, Tengfei 3 2020 Collocation methods for exploring perturbations in linear stability analysis. Zbl 1398.65176 Elman, Howard C.; Silvester, David J. 3 2018 Iterative methods for linear systems. Zbl 0832.65026 Elman, Howard C. 2 1994 The (new) Yale sparse matrix package. Zbl 0562.65014 Eisenstat, Stanley C.; Elman, Howard C.; Schultz, Martin H.; Sherman, Andrew H. 2 1984 Stochastic least-squares Petrov-Galerkin method for parameterized linear systems. Zbl 1388.35232 Lee, Kookjin; Carlberg, Kevin; Elman, Howard C. 2 2018 Fourier analysis of multigrid for a model two-dimensional convection-diffusion equation. Zbl 1098.65105 Elman, Howard C.; Ramage, Alison 2 2006 Performance enhancement and parallel algorithms for two multilevel preconditioners. Zbl 0786.65025 Elman, H. C.; Guo, Xian-Zhong 2 1993 Introduction to the special issue on iterative methods for solving systems of algebraic equations. Zbl 0888.00015 1 1997 Parallel sparse Cholesky factorization on a shared memory multiprocessor. Zbl 0757.65030 Zhang, G.; Elman, H. C. 1 1992 On the convergence of line iterative methods for cyclically reduced non- symmetrizable linear systems. Zbl 0795.65016 Elman, Howard C.; Golub, Gene H.; Starke, Gerhard 1 1994 Stochastic collocation with kernel density estimation. Zbl 1354.65258 Elman, Howard C.; Miller, Christopher W. 1 2012 An adaptive reduced basis collocation method based on PCM {ANOVA} decomposition for anisotropic stochastic PDEs. Zbl 1498.65215 Cho, Heyrim; Elman, Howard 1 2018 On surrogate learning for linear stability assessment of Navier-Stokes equations with stochastic viscosity. Zbl 07613021 Sousedík, Bedřich; Elman, Howard C.; Lee, Kookjin; Price, Randy 1 2022 On surrogate learning for linear stability assessment of Navier-Stokes equations with stochastic viscosity. Zbl 07613021 Sousedík, Bedřich; Elman, Howard C.; Lee, Kookjin; Price, Randy 1 2022 Semi-smooth Newton methods for nonlinear complementarity formulation of compositional two-phase flow in porous media. Zbl 07504691 Bui, Quan M.; Elman, Howard C. 5 2020 A low-rank solver for the stochastic unsteady Navier-Stokes problem. Zbl 1442.76065 Elman, Howard C.; Su, Tengfei 3 2020 A low-rank solver for the Navier-Stokes equations with uncertain viscosity. Zbl 1442.35568 Lee, Kookjin; Elman, Howard C.; Sousedík, Bedřich 7 2019 Low-rank solution methods for stochastic eigenvalue problems. Zbl 1420.65046 Elman, Howard C.; Su, Tengfei 7 2019 A low-rank multigrid method for the stochastic steady-state diffusion problem. Zbl 1390.35437 Elman, Howard C.; Su, Tengfei 8 2018 Collocation methods for exploring perturbations in linear stability analysis. Zbl 1398.65176 Elman, Howard C.; Silvester, David J. 3 2018 Stochastic least-squares Petrov-Galerkin method for parameterized linear systems. Zbl 1388.35232 Lee, Kookjin; Carlberg, Kevin; Elman, Howard C. 2 2018 An adaptive reduced basis collocation method based on PCM {ANOVA} decomposition for anisotropic stochastic PDEs. Zbl 1498.65215 Cho, Heyrim; Elman, Howard 1 2018 Algebraic multigrid preconditioners for multiphase flow in porous media. Zbl 1392.65024 Bui, Quan M.; Elman, Howard C.; Moulton, David J. 13 2017 A preconditioned low-rank projection method with a rank-reduction scheme for stochastic partial differential equations. Zbl 1373.60126 Lee, Kookjin; Elman, Howard C. 11 2017 Numerical solution of the parameterized steady-state Navier-Stokes equations using empirical interpolation methods. Zbl 1439.76064 Elman, Howard C.; Forstall, Virginia 5 2017 Block preconditioners for stable mixed nodal and edge finite element representations of incompressible resistive MHD. Zbl 1349.76903 Phillips, Edward G.; Shadid, John N.; Cyr, Eric C.; Elman, Howard C.; Pawlowski, Roger P. 29 2016 Stochastic Galerkin methods for the steady-state Navier-Stokes equations. Zbl 1349.76268 Sousedík, Bedřich; Elman, Howard C. 13 2016 Inverse subspace iteration for spectral stochastic finite element methods. Zbl 1336.65060 Sousedík, Bedřich; Elman, Howard C. 8 2016 Efficient iterative algorithms for linear stability analysis of incompressible flows. Zbl 1425.65052 Elman, Howard C.; Rostami, Minghao W. 3 2016 Preconditioning techniques for reduced basis methods for parameterized elliptic partial differential equations. Zbl 1457.65174 Elman, Howard C.; Forstall, Virginia 9 2015 A stochastic approach to uncertainty in the equations of MHD kinematics. Zbl 1351.76310 Phillips, Edward G.; Elman, Howard C. 9 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. 311 2014 IFISS: A computational laboratory for investigating incompressible flow problems. Zbl 1426.76645 Elman, Howard C.; Ramage, Alison; Silvester, David J. 75 2014 A block preconditioner for an exact penalty formulation for stationary MHD. Zbl 1308.76333 Phillips, Edward G.; Elman, Howard C.; Cyr, Eric C.; Shadid, John N.; Pawlowski, Roger P. 26 2014 Reduced basis collocation methods for partial differential equations with random coefficients. Zbl 1282.35424 Elman, Howard C.; Liao, Qifeng 32 2013 Lyapunov inverse iteration for computing a few rightmost eigenvalues of large generalized eigenvalue problems. Zbl 1425.65053 Elman, Howard C.; Wu, Minghao 6 2013 Efficient iterative solvers for stochastic Galerkin discretizations of log-transformed random diffusion problems. Zbl 1251.35200 Ullmann, Elisabeth; Elman, Howard C.; Ernst, Oliver G. 22 2012 Lyapunov inverse iteration for identifying Hopf bifurcations in models of incompressible flow. Zbl 1247.65047 Elman, Howard C.; Meerbergen, Karl; Spence, Alastair; Wu, Minghao 10 2012 Fast inexact implicitly restarted Arnoldi method for generalized eigenvalue problems with spectral transformation. Zbl 1263.65041 Xue, Fei; Elman, Howard C. 10 2012 Stochastic collocation with kernel density estimation. Zbl 1354.65258 Elman, Howard C.; Miller, Christopher W. 1 2012 Assessment of collocation and Galerkin approaches to linear diffusion equations with random data. Zbl 1229.65026 Elman, Howard C.; Miller, Christopher W.; Phipps, Eric T.; Tuminaro, Raymond S. 25 2011 Fast iterative solvers for buoyancy driven flow problems. Zbl 1369.76040 Elman, Howard; Mihajlović, Milan; Silvester, David 17 2011 Fast inexact subspace iteration for generalized eigenvalue problems with spectral transformation. Zbl 1253.65059 Xue, Fei; Elman, Howard C. 15 2011 Fast iterative solver for convection-diffusion systems with spectral elements. Zbl 1209.65130 Lott, P. Aaron; Elman, Howard 4 2011 Convergence analysis of iterative solvers in inexact Rayleigh quotient iteration. Zbl 1201.65060 Xue, Fei; Elman, Howard C. 14 2010 \(H(\text{div})\) preconditioning for a mixed finite element formulation of the diffusion problem with random data. Zbl 1216.65155 Elman, Howard C.; Furnival, Darran G.; Powell, Catherine E. 7 2010 Block-diagonal preconditioning for spectral stochastic finite-element systems. Zbl 1169.65007 Powell, Catherine E.; Elman, Howard C. 74 2009 Boundary conditions in approximate commutator preconditioners for the Navier-Stokes equations. Zbl 1391.76539 Elman, Howard C.; Tuminaro, Ray S. 24 2009 A non-self-adjoint quadratic eigenvalue problemdescribing a fluid-solid interaction. II: Analysis of convergence. Zbl 1153.74015 Bourne, David; Elman, Howard; Osborn, John E. 4 2009 A taxonomy and comparison of parallel block multi-level preconditioners for the incompressible Navier-Stokes equations. Zbl 1290.76023 Elman, Howard; Howle, V. E.; Shadid, John; Shuttleworth, Robert; Tuminaro, Ray 68 2008 Algorithm 866: IFISS, a Matlab toolbox for modelling incompressible flow. Zbl 1365.65326 Elman, Howard C.; Ramage, Alison; Silvester, David J. 172 2007 Least squares preconditioners for stabilized discretizations of the Navier-Stokes equations. Zbl 1166.65326 Elman, Howard; Howle, Victoria E.; Shadid, John; Silvester, David; Tuminaro, Ray 24 2007 Solving the stochastic steady-state diffusion problem using multigrid. Zbl 1141.65004 Elman, Howard; Furnival, Darran 19 2007 Block preconditioners based on approximate commutators. Zbl 1100.65042 Elman, Howard; Howle, Victoria E.; Shadid, John; Shuttleworth, Robert; Tuminaro, Ray 76 2006 Analysis and comparison of geometric and algebraic multigrid for convection-diffusion equations. Zbl 1133.65102 Wu, Chin-Tien; Elman, Howard C. 12 2006 Fourier analysis of multigrid for a model two-dimensional convection-diffusion equation. Zbl 1098.65105 Elman, Howard C.; Ramage, Alison 2 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. 413 2005 Preconditioning strategies for models of incompressible flow. Zbl 1203.76098 Elman, H. C. 26 2005 Efficient iterative algorithms for the stochastic finite element method with application to acoustic scattering. Zbl 1091.76032 Elman, Howard C.; Ernst, Oliver G.; O’Leary, Dianne P.; Stewart, Michael 24 2005 Complete stagnation of GMRES. Zbl 1025.65022 Zavorin, Ilya; O’Leary, Dianne P.; Elman, Howard 21 2003 A parallel block multi-level preconditioner for the 3D incompressible Navier-Stokes equations. Zbl 1061.76058 Elman, Howard C.; Howle, Victoria E.; Shadid, John N.; Tuminaro, Ray S. 18 2003 Preconditioning techniques for Newton’s method for the incompressible Navier-Stokes equations. Zbl 1244.76023 Elman, H. C.; Loghin, D.; Wathen, A. J. 12 2003 A characterisation of oscillations in the discrete two-dimensional convection-diffusion equation. Zbl 1008.65083 Elman, Howard C.; Ramage, Alison 8 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. 105 2002 Preconditioners for saddle point problems arising in computational fluid dynamics. Zbl 1168.76348 Elman, Howard C. 60 2002 An analysis of smoothing effects of upwinding strategies for the convection-diffusion equation. Zbl 1017.65090 Elman, Howard C.; Ramage, Alison 10 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 multigrid method enhanced by Krylov subspace iteration for discrete Helmholtz equations. Zbl 1004.65134 Elman, Howard C.; Ernst, Oliver G.; O’Leary, Dianne P. 88 2001 Efficient preconditioning of the linearized Navier-Stokes equations for incompressible flow. Zbl 0983.76051 Silvester, David; Elman, Howard; Kay, David; Wathen, Andrew 71 2001 Iterative methods for stabilized discrete convection-diffusion problems. Zbl 0980.65127 Shih, Yin-Tzer; Elman, Howard C. 9 2000 Preconditioning for the steady-state Navier–Stokes equations with low viscosity. Zbl 0935.76057 Elman, Howard C. 103 1999 Modified streamline diffusion schemes for convection-diffusion problems. Zbl 0957.76035 Shih, Yin-Tzer; Elman, Howard C. 23 1999 Eigenanalysis of some preconditioned Helmholtz problems. Zbl 0934.65119 Elman, Howard C.; O’Leary, Dianne P. 12 1999 Efficient iterative solution of the three-dimensional Helmholtz equation. Zbl 0929.65089 Elman, Howard C.; O’Leary, Dianne P. 17 1998 Iterative methods for problems in computational fluid dynamics. Zbl 0957.76071 Elman, Howard C.; Silvester, David J.; Wathen, Andrew J. 21 1997 A note on conjugate gradient convergence. Zbl 0905.65047 Naiman, Aaron E.; Babuška, Ivo M.; Elman, Howard C. 7 1997 Introduction to the special issue on iterative methods for solving systems of algebraic equations. Zbl 0888.00015 1 1997 Fast nonsymmetric iterations and preconditioning for Navier-Stokes equations. Zbl 0843.65080 Elman, Howard; Silvester, David 88 1996 Multigrid and Krylov subspace methods for the discrete Stokes equations. Zbl 0865.76078 Elman, Howard C. 27 1996 Algebraic analysis of the hierarchical basis preconditioner. Zbl 0828.65032 Elman, Howard C.; Zhang, Xuejun 6 1995 Use of linear algebra kernels to build an efficient finite element solver. Zbl 0875.68511 Elman, Howard C.; Lee, Dennis K.-Y. 3 1995 Inexact and preconditioned Uzawa algorithms for saddle point problems. Zbl 0815.65041 Elman, Howard C.; Golub, Gene H. 251 1994 Ordering effects on relaxation methods applied to the discrete convection-diffusion equation. Zbl 0803.65033 Elman, Howard C.; Chernesky, Michael P. 6 1994 Multigrid and Krylov subspace methods for the discrete Stokes equations. Zbl 0814.65119 Elman, Howard C. 4 1994 Iterative methods for linear systems. Zbl 0832.65026 Elman, Howard C. 2 1994 On the convergence of line iterative methods for cyclically reduced non- symmetrizable linear systems. Zbl 0795.65016 Elman, Howard C.; Golub, Gene H.; Starke, Gerhard 1 1994 Ordering effects on relaxation methods applied to the discrete one- dimensional convection-diffusion equation. Zbl 0790.65027 Elman, Howard C.; Chernesky, Michael P. 7 1993 Performance of the \(h-p\) version of the finite element method with various elements. Zbl 0780.73071 Babuška, I.; Elman, H. C. 7 1993 Performance enhancement and parallel algorithms for two multilevel preconditioners. Zbl 0786.65025 Elman, H. C.; Guo, Xian-Zhong 2 1993 Line iterative methods for cyclically reduced discrete convection- diffusion problems. Zbl 0752.65067 Elman, Howard C.; Golub, Gene H. 15 1992 Parallel implementation of the \(hp\)-version of the finite element method on a shared-memory architecture. Zbl 0765.65101 Babuška, I.; Elman, H. C.; Markley, K. 8 1992 Parallel sparse Cholesky factorization on a shared memory multiprocessor. Zbl 0757.65030 Zhang, G.; Elman, H. C. 1 1992 Iterative methods for cyclically reduced non-self-adjoint linear systems. II. Zbl 0716.65096 Elman, Howard C.; Golub, Gene H. 18 1991 Iterative methods for cyclically reduced non-self-adjoint linear systems. Zbl 0699.65021 Elman, Howard C.; Golub, Gene H. 34 1990 Fourier analysis of iterative methods for elliptic problems. Zbl 0684.65092 Chan, Tony F.; Elman, Howard C. 27 1989 Relaxed and stabilized incomplete factorizations for non-self-adjoint linear systems. Zbl 0694.65011 Elman, Howard C. 17 1989 Some aspects of parallel implementation of the finite-element method on message passing architectures. Zbl 0693.65077 Babuška, I.; Elman, H. C. 12 1989 Ordering techniques for the preconditioned conjugate gradient method on parallel computers. Zbl 0798.65038 Elman, Howard C.; Agrón, Elvira 7 1989 Approximate Schur complement preconditioners on serial and parallel computers. Zbl 0678.65018 Elman, Howard C. 4 1989 A stability analysis of incomplete LU factorizations. Zbl 0621.65024 Elman, Howard C. 32 1986 Preconditioning by fast direct methods for nonself-adjoint nonseparable elliptic equations. Zbl 0619.65093 Elman, Howard C.; Schultz, Martin H. 31 1986 A hybrid Chebyshev Krylov subspace algorithm for solving nonsymmetric systems of linear equations. Zbl 0613.65031 Elman, Howard C.; Saad, Youcef; Saylor, Paul E. 24 1986 Polynomial iteration for nonsymmetric indefinite linear systems. Zbl 0605.65020 Elman, Howard C.; Streit, Roy L. 9 1986 The (new) Yale sparse matrix package. Zbl 0562.65014 Eisenstat, Stanley C.; Elman, Howard C.; Schultz, Martin H.; Sherman, Andrew H. 2 1984 Variational iterative methods for nonsymmetric systems of linear equations. Zbl 0524.65019 Eisenstat, Stanley C.; Elman, Howard C.; Schultz, Martin H. 272 1983 all cited Publications top 5 cited Publications all top 5 Cited by 2,689 Authors 37 Zhang, Guofeng 34 Ma, Changfeng 32 Wathen, Andrew John 31 Liang, Zhaozheng 30 Elman, Howard C. 26 Bai, Zhongzhi 25 Stoll, Martin 21 Axelsson, Axel Owe Holger 20 Cao, Yang 19 Benzi, Michele 19 Huang, Ting-Zhu 19 Olshanskii, Maxim A. 19 Vuik, Cornelis 19 Wu, Yujiang 19 Yang, Aili 17 Khojasteh Salkuyeh, Davod 17 Shang, Yueqiang 17 Silvester, David J. 16 Ferronato, Massimiliano 15 Quarteroni, Alfio M. 15 Simoncini, Valeria 14 Pestana, Jennifer 14 Rebholz, Leo G. 13 Badia, Santiago 13 Fan, Hongtao 13 He, Yinnian 13 Huang, Na 13 Pearson, John W. 13 Saad, Yousef 13 Sousedík, Bedřich 13 Zhang, Jun 12 Spence, Euan A. 12 Szyld, Daniel B. 12 Zhang, Naimin 11 Benner, Peter 11 Cao, Zhihao 11 Castelletto, Nicola 11 Cui, Jingjing 11 Greif, Chen 11 Huang, Zhengge 11 Powell, Catherine Elizabeth 11 Shadid, John N. 11 Wang, Ligong 11 Wei, Yimin 11 White, Joshua A. 11 Xu, Jinchao 11 Xu, Zhong 11 Zheng, Bing 11 Zheng, Qingqing 10 Bergamaschi, Luca 10 Feng, Xinlong 10 Hu, Xiaozhe 10 Liao, Qifeng 10 MacLachlan, Scott P. 10 Neytcheva, Maya G. 10 Niu, Qiang 9 Auricchio, Ferdinando 9 Graham, Ivan G. 9 Karátson, János 9 Miao, Shu-Xin 9 Shao, Xinhui 9 Vanroose, Wim 9 Wu, Shiliang 9 Yang, Haijian 9 Zhu, Xinyun 8 Adler, James H. 8 Deparis, Simone 8 Dou, Yan 8 Gambolati, Giuseppe 8 Janna, Carlo 8 Li, Wen 8 Notay, Yvan 8 Ramage, Alison 8 Wang, Zengqi 8 Zhang, Guodong 8 Zikatanov, Ludmil T. 7 Aulisa, Eugenio 7 Bespalov, Alexei 7 Chao, Zhen 7 Cyr, Eric C. 7 Golub, Gene Howard 7 Han, Danfu 7 Heil, Matthias 7 Il’in, Valeriĭ Pavlovich 7 John, Volker 7 Lee, Kookjin 7 Li, Changjun 7 Liesen, Jörg 7 Liu, Jun 7 Manzoni, Andrea 7 Martín, Alberto F. 7 Ng, Michael Kwok-Po 7 Pavarino, Luca Franco 7 Peng, Xiaofei 7 Reichel, Lothar 7 Sadok, Hassane 7 Schwab, Christoph 7 Serra-Capizzano, Stefano 7 Shao, Xinping 7 Tuminaro, Raymond S. ...and 2,589 more Authors all top 5 Cited in 189 Serials 169 Journal of Computational Physics 156 Journal of Computational and Applied Mathematics 154 Computer Methods in Applied Mechanics and Engineering 132 SIAM Journal on Scientific Computing 116 Computers & Mathematics with Applications 114 Applied Mathematics and Computation 81 Applied Numerical Mathematics 70 Numerical Linear Algebra with Applications 67 Numerical Algorithms 52 Numerische Mathematik 49 Journal of Scientific Computing 48 International Journal of Computer Mathematics 48 Linear Algebra and its Applications 44 BIT 31 Mathematics of Computation 31 SIAM Journal on Matrix Analysis and Applications 29 Computational and Applied Mathematics 28 International Journal for Numerical Methods in Engineering 22 SIAM/ASA Journal on Uncertainty Quantification 21 Computers and Fluids 20 Advances in Computational Mathematics 19 International Journal for Numerical Methods in Fluids 19 SIAM Journal on Numerical Analysis 19 Applied Mathematics Letters 18 East Asian Journal on Applied Mathematics 17 Mathematics and Computers in Simulation 16 Numerical Methods for Partial Differential Equations 14 ETNA. 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ESAIM, European Series in Applied and Industrial Mathematics 2 Discrete and Continuous Dynamical Systems. Series B 2 Mediterranean Journal of Mathematics 2 International Journal of Numerical Analysis and Modeling 2 Journal of Computational Acoustics 2 Inverse Problems in Science and Engineering 2 Complex Variables and Elliptic Equations 2 Optimization Letters 2 Advances in Numerical Analysis 2 Journal of Applied Mathematics & Informatics ...and 89 more Serials all top 5 Cited in 41 Fields 1,855 Numerical analysis (65-XX) 623 Fluid mechanics (76-XX) 526 Partial differential equations (35-XX) 158 Mechanics of deformable solids (74-XX) 155 Linear and multilinear algebra; matrix theory (15-XX) 101 Calculus of variations and optimal control; optimization (49-XX) 89 Probability theory and stochastic processes (60-XX) 56 Optics, electromagnetic theory (78-XX) 54 Operations research, mathematical programming (90-XX) 36 Geophysics (86-XX) 34 Biology and other natural sciences (92-XX) 33 Computer science (68-XX) 22 Operator theory (47-XX) 22 Systems theory; control (93-XX) 19 Classical thermodynamics, heat transfer (80-XX) 15 Ordinary differential equations (34-XX) 15 Statistics (62-XX) 14 Statistical mechanics, structure of matter (82-XX) 13 Approximations and expansions (41-XX) 12 Integral equations (45-XX) 10 Information and communication theory, circuits (94-XX) 9 Combinatorics (05-XX) 6 Dynamical systems and ergodic theory (37-XX) 4 Potential theory (31-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 3 Functions of a complex variable (30-XX) 3 Difference and functional equations (39-XX) 3 Quantum theory (81-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 History and biography (01-XX) 2 Integral transforms, operational calculus (44-XX) 2 Functional analysis (46-XX) 1 Group theory and generalizations (20-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Special functions (33-XX) 1 Sequences, series, summability (40-XX) 1 Differential geometry (53-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of particles and systems (70-XX) 1 Mathematics education (97-XX) Citations by Year