Edit Profile (opens in new tab) Elman, Howard C. Compute Distance To: Compute Author ID: elman.howard-c Published as: Elman, Howard C.; Elman, Howard; Elman, H. C.; Elman, H. Documents Indexed: 96 Publications since 1983, including 2 Books 7 Contributions as Editor Co-Authors: 88 Co-Authors with 90 Joint Publications 2,294 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 5 O’Leary, Dianne P. 5 Ramage, Alison 4 Babuška, Ivo 4 Ernst, Oliver G. 4 Howle, Victoria E. 4 Walker, Homer F. 3 Benzi, Michele 3 Duff, Iain S. 3 Freund, Roland W. 3 Kelley, Tim 3 Kilmer, Misha E. 3 Lee, Kookjin 3 Phillips, Edward G. 3 Saylor, Paul E. 3 Schultz, Martin H. 3 Shuttleworth, Robert R. 3 Sousedík, Bedřich 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 Leyffer, Sven 2 Loghin, Daniel 2 Manteuffel, Thomas A. 2 McCormick, Steve Fahrney 2 Miller, Christopher W. 2 Parter, Seymour V. 2 Pawlowski, Roger P. 2 Powell, Catherine Elizabeth 2 Shih, Yintzer 2 Widlund, Olof B. 2 Woodward, Carol S. 2 Wu, Minghao 2 Yavneh, Irad 1 Agrón, Elvira 1 Bai, Zhaojun 1 Bourne, David P. 1 Carlberg, Kevin T. 1 Chan, Tony Fan-Cheong 1 Freund, Ronal 1 Guo, Xianzhong 1 Higham, Nicholas J. 1 Keyes, David Elliot 1 Knoll, Dana A. 1 Lee, Dennis K.-Y. 1 Liang, Jiaxing 1 Liao, Qifeng 1 Livshits, Irene 1 Long, Kevin R. 1 Lott, P. Aaron 1 Markley, K. 1 Meerbergen, Karl 1 Mehrman, 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 Rostami, Minghao W. 1 Saad, Yousef 1 Sánchez-Vizuet, Tonatiuh 1 Sherman, Andrew H. 1 Spence, Alastair 1 Starke, Gerhard 1 Stewart, Michael 1 Streit, Roy L. 1 Templeton, Jeremy A. 1 Tuminaro, Raymond S. 1 Ullmann, Elisabeth 1 Van der Vorst, Henk Albertus 1 Wu, Chin-Tien 1 Zavorin, Ilya 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 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 BIT 3 Linear Algebra and its Applications 2 Journal of Computational and Applied Mathematics 2 Parallel Computing 2 SIAM Review 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 ETNA. Electronic Transactions on Numerical Analysis 1 Communications on Pure and Applied Analysis 1 International Journal for Uncertainty Quantification all top 5 Fields 92 Numerical analysis (65-XX) 45 Partial differential equations (35-XX) 34 Fluid mechanics (76-XX) 12 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 Mechanics of deformable solids (74-XX) 1 Ordinary differential equations (34-XX) 1 Approximations and expansions (41-XX) 1 Statistics (62-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 88 Publications have been cited 2,718 times in 1,802 Documents Cited by ▼ Year ▼ Finite elements and fast iterative solvers: with applications in incompressible fluid dynamics. Zbl 1083.76001Elman, Howard C.; Silvester, David J.; Wathen, Andrew J. 364 2005 Variational iterative methods for nonsymmetric systems of linear equations. Zbl 0524.65019Eisenstat, Stanley C.; Elman, Howard C.; Schultz, Martin H. 252 1983 Inexact and preconditioned Uzawa algorithms for saddle point problems. Zbl 0815.65041Elman, Howard C.; Golub, Gene H. 228 1994 Finite elements and fast iterative solvers. With applications in incompressible fluid dynamics. 2nd ed. Zbl 1304.76002Elman, Howard C.; Silvester, David J.; Wathen, Andrew J. 220 2014 Algorithm 866: IFISS, a Matlab toolbox for modelling incompressible flow. Zbl 1365.65326Elman, Howard C.; Ramage, Alison; Silvester, David J. 152 2007 Performance and analysis of saddle point preconditioners for the discrete steady-state Navier-Stokes equations. Zbl 1143.76531Elman, Howard C.; Silvester, David J.; Wathen, Andrew J. 98 2002 Preconditioning for the steady-state Navier–Stokes equations with low viscosity. Zbl 0935.76057Elman, Howard C. 93 1999 Fast nonsymmetric iterations and preconditioning for Navier-Stokes equations. Zbl 0843.65080Elman, Howard; Silvester, David 83 1996 A multigrid method enhanced by Krylov subspace iteration for discrete Helmholtz equations. Zbl 1004.65134Elman, Howard C.; Ernst, Oliver G.; O’Leary, Dianne P. 72 2001 Efficient preconditioning of the linearized Navier-Stokes equations for incompressible flow. Zbl 0983.76051Silvester, David; Elman, Howard; Kay, David; Wathen, Andrew 66 2001 Block-diagonal preconditioning for spectral stochastic finite-element systems. Zbl 1169.65007Powell, Catherine E.; Elman, Howard C. 66 2009 Block preconditioners based on approximate commutators. Zbl 1100.65042Elman, Howard; Howle, Victoria E.; Shadid, John; Shuttleworth, Robert; Tuminaro, Ray 62 2006 IFISS: A computational laboratory for investigating incompressible flow problems. Zbl 1426.76645Elman, Howard C.; Ramage, Alison; Silvester, David J. 61 2014 Preconditioners for saddle point problems arising in computational fluid dynamics. Zbl 1168.76348Elman, Howard C. 57 2002 A taxonomy and comparison of parallel block multi-level preconditioners for the incompressible Navier-Stokes equations. Zbl 1290.76023Elman, Howard; Howle, V. E.; Shadid, John; Shuttleworth, Robert; Tuminaro, Ray 57 2008 Iterative methods for cyclically reduced non-self-adjoint linear systems. Zbl 0699.65021Elman, Howard C.; Golub, Gene H. 33 1990 A stability analysis of incomplete LU factorizations. Zbl 0621.65024Elman, Howard C. 31 1986 Preconditioning by fast direct methods for nonself-adjoint nonseparable elliptic equations. Zbl 0619.65093Elman, Howard C.; Schultz, Martin H. 28 1986 Fourier analysis of iterative methods for elliptic problems. Zbl 0684.65092Chan, Tony F.; Elman, Howard C. 27 1989 Preconditioning strategies for models of incompressible flow. Zbl 1203.76098Elman, H. C. 26 2005 Multigrid and Krylov subspace methods for the discrete Stokes equations. Zbl 0865.76078Elman, Howard C. 25 1996 A hybrid Chebyshev Krylov subspace algorithm for solving nonsymmetric systems of linear equations. Zbl 0613.65031Elman, Howard C.; Saad, Youcef; Saylor, Paul E. 24 1986 Reduced basis collocation methods for partial differential equations with random coefficients. Zbl 1282.35424Elman, Howard C.; Liao, Qifeng 24 2013 Modified streamline diffusion schemes for convection-diffusion problems. Zbl 0957.76035Shih, Yin-Tzer; Elman, Howard C. 23 1999 Boundary conditions in approximate commutator preconditioners for the Navier-Stokes equations. Zbl 1391.76539Elman, Howard C.; Tuminaro, Ray S. 22 2009 Assessment of collocation and Galerkin approaches to linear diffusion equations with random data. Zbl 1229.65026Elman, Howard C.; Miller, Christopher W.; Phipps, Eric T.; Tuminaro, Raymond S. 21 2011 Least squares preconditioners for stabilized discretizations of the Navier-Stokes equations. Zbl 1166.65326Elman, Howard; Howle, Victoria E.; Shadid, John; Silvester, David; Tuminaro, Ray 21 2007 Iterative methods for problems in computational fluid dynamics. Zbl 0957.76071Elman, Howard C.; Silvester, David J.; Wathen, Andrew J. 20 1997 Efficient iterative solvers for stochastic Galerkin discretizations of log-transformed random diffusion problems. Zbl 1251.35200Ullmann, Elisabeth; Elman, Howard C.; Ernst, Oliver G. 20 2012 Efficient iterative algorithms for the stochastic finite element method with application to acoustic scattering. Zbl 1091.76032Elman, Howard C.; Ernst, Oliver G.; O’Leary, Dianne P.; Stewart, Michael 20 2005 A block preconditioner for an exact penalty formulation for stationary MHD. Zbl 1308.76333Phillips, Edward G.; Elman, Howard C.; Cyr, Eric C.; Shadid, John N.; Pawlowski, Roger P. 19 2014 Efficient iterative solution of the three-dimensional Helmholtz equation. Zbl 0929.65089Elman, Howard C.; O’Leary, Dianne P. 17 1998 Relaxed and stabilized incomplete factorizations for non-self-adjoint linear systems. Zbl 0694.65011Elman, Howard C. 17 1989 Block preconditioners for stable mixed nodal and edge finite element representations of incompressible resistive MHD. Zbl 1349.76903Phillips, Edward G.; Shadid, John N.; Cyr, Eric C.; Elman, Howard C.; Pawlowski, Roger P. 17 2016 Complete stagnation of GMRES. Zbl 1025.65022Zavorin, Ilya; O’Leary, Dianne P.; Elman, Howard 17 2003 A parallel block multi-level preconditioner for the 3D incompressible Navier-Stokes equations. Zbl 1061.76058Elman, Howard C.; Howle, Victoria E.; Shadid, John N.; Tuminaro, Ray S. 17 2003 Iterative methods for cyclically reduced non-self-adjoint linear systems. II. Zbl 0716.65096Elman, Howard C.; Golub, Gene H. 16 1991 Fast iterative solvers for buoyancy driven flow problems. Zbl 1369.76040Elman, Howard; Mihajlović, Milan; Silvester, David 16 2011 Line iterative methods for cyclically reduced discrete convection- diffusion problems. Zbl 0752.65067Elman, Howard C.; Golub, Gene H. 15 1992 Solving the stochastic steady-state diffusion problem using multigrid. Zbl 1141.65004Elman, Howard; Furnival, Darran 15 2007 Convergence analysis of iterative solvers in inexact Rayleigh quotient iteration. Zbl 1201.65060Xue, Fei; Elman, Howard C. 14 2010 Eigenanalysis of some preconditioned Helmholtz problems. Zbl 0934.65119Elman, Howard C.; O’Leary, Dianne P. 12 1999 Fast inexact subspace iteration for generalized eigenvalue problems with spectral transformation. Zbl 1253.65059Xue, Fei; Elman, Howard C. 12 2011 Preconditioning techniques for Newton’s method for the incompressible Navier-Stokes equations. Zbl 1244.76023Elman, H. C.; Loghin, D.; Wathen, A. J. 11 2003 An analysis of smoothing effects of upwinding strategies for the convection-diffusion equation. Zbl 1017.65090Elman, Howard C.; Ramage, Alison 10 2002 Some aspects of parallel implementation of the finite-element method on message passing architectures. Zbl 0693.65077Babuška, I.; Elman, H. C. 9 1989 Iterative methods for stabilized discrete convection-diffusion problems. Zbl 0980.65127Shih, Yin-Tzer; Elman, Howard C. 9 2000 Analysis and comparison of geometric and algebraic multigrid for convection-diffusion equations. Zbl 1133.65102Wu, Chin-Tien; Elman, Howard C. 8 2006 Lyapunov inverse iteration for identifying Hopf bifurcations in models of incompressible flow. Zbl 1247.65047Elman, Howard C.; Meerbergen, Karl; Spence, Alastair; Wu, Minghao 8 2012 Fast inexact implicitly restarted Arnoldi method for generalized eigenvalue problems with spectral transformation. Zbl 1263.65041Xue, Fei; Elman, Howard C. 8 2012 Polynomial iteration for nonsymmetric indefinite linear systems. Zbl 0605.65020Elman, Howard C.; Streit, Roy L. 8 1986 Algebraic multigrid preconditioners for multiphase flow in porous media. Zbl 1392.65024Bui, Quan M.; Elman, Howard C.; Moulton, David J. 8 2017 Parallel implementation of the \(hp\)-version of the finite element method on a shared-memory architecture. Zbl 0765.65101Babuška, I.; Elman, H. C.; Markley, K. 7 1992 A characterisation of oscillations in the discrete two-dimensional convection-diffusion equation. Zbl 1008.65083Elman, Howard C.; Ramage, Alison 7 2003 Block preconditioners for the discrete incompressible Navier-Stokes equations. Zbl 1019.76023Elman, Howard C.; Silvester, David J.; Wathen, Andrew J. 7 2002 Performance of the \(h-p\) version of the finite element method with various elements. Zbl 0780.73071Babuška, I.; Elman, H. C. 7 1993 Ordering techniques for the preconditioned conjugate gradient method on parallel computers. Zbl 0798.65038Elman, Howard C.; Agrón, Elvira 7 1989 A note on conjugate gradient convergence. Zbl 0905.65047Naiman, Aaron E.; Babuška, Ivo M.; Elman, Howard C. 7 1997 A low-rank multigrid method for the stochastic steady-state diffusion problem. Zbl 1390.35437Elman, Howard C.; Su, Tengfei 6 2018 Ordering effects on relaxation methods applied to the discrete one- dimensional convection-diffusion equation. Zbl 0790.65027Elman, Howard C.; Chernesky, Michael P. 6 1993 Ordering effects on relaxation methods applied to the discrete convection-diffusion equation. Zbl 0803.65033Elman, Howard C.; Chernesky, Michael P. 6 1994 Preconditioning techniques for reduced basis methods for parameterized elliptic partial differential equations. Zbl 1457.65174Elman, Howard C.; Forstall, Virginia 6 2015 Algebraic analysis of the hierarchical basis preconditioner. Zbl 0828.65032Elman, Howard C.; Zhang, Xuejun 5 1995 \(H(\text{div})\) preconditioning for a mixed finite element formulation of the diffusion problem with random data. Zbl 1216.65155Elman, Howard C.; Furnival, Darran G.; Powell, Catherine E. 5 2010 Lyapunov inverse iteration for computing a few rightmost eigenvalues of large generalized eigenvalue problems. Zbl 1425.65053Elman, Howard C.; Wu, Minghao 5 2013 Stochastic Galerkin methods for the steady-state Navier-Stokes equations. Zbl 1349.76268Sousedík, Bedřich; Elman, Howard C. 5 2016 A stochastic approach to uncertainty in the equations of MHD kinematics. Zbl 1351.76310Phillips, Edward G.; Elman, Howard C. 5 2015 A preconditioned low-rank projection method with a rank-reduction scheme for stochastic partial differential equations. Zbl 1373.60126Lee, Kookjin; Elman, Howard C. 5 2017 Approximate Schur complement preconditioners on serial and parallel computers. Zbl 0678.65018Elman, Howard C. 4 1989 A new preconditioner for the Oseen equations. Zbl 1268.76036Wathen, A.; Loghin, D.; Kay, D.; Elman, H.; Silvester, D. 4 2003 A non-self-adjoint quadratic eigenvalue problemdescribing a fluid-solid interaction. II: Analysis of convergence. Zbl 1153.74015Bourne, David; Elman, Howard; Osborn, John E. 4 2009 Fast iterative solver for convection-diffusion systems with spectral elements. Zbl 1209.65130Lott, P. Aaron; Elman, Howard 3 2011 Use of linear algebra kernels to build an efficient finite element solver. Zbl 0875.68511Elman, Howard C.; Lee, Dennis K.-Y. 3 1995 Efficient iterative algorithms for linear stability analysis of incompressible flows. Zbl 1425.65052Elman, Howard C.; Rostami, Minghao W. 3 2016 Inverse subspace iteration for spectral stochastic finite element methods. Zbl 1336.65060Sousedík, Bedřich; Elman, Howard C. 3 2016 The (new) Yale sparse matrix package. Zbl 0562.65014Eisenstat, Stanley C.; Elman, Howard C.; Schultz, Martin H.; Sherman, Andrew H. 2 1984 Iterative methods for linear systems. Zbl 0832.65026Elman, Howard C. 2 1994 Performance enhancement and parallel algorithms for two multilevel preconditioners. Zbl 0786.65025Elman, H. C.; Guo, Xian-Zhong 2 1993 Multigrid and Krylov subspace methods for the discrete Stokes equations. Zbl 0814.65119Elman, Howard C. 2 1994 Fourier analysis of multigrid for a model two-dimensional convection-diffusion equation. Zbl 1098.65105Elman, Howard C.; Ramage, Alison 2 2006 A low-rank solver for the stochastic unsteady Navier-Stokes problem. Zbl 1442.76065Elman, Howard C.; Su, Tengfei 2 2020 Parallel sparse Cholesky factorization on a shared memory multiprocessor. Zbl 0757.65030Zhang, G.; Elman, H. C. 1 1992 Stochastic least-squares Petrov-Galerkin method for parameterized linear systems. Zbl 1388.35232Lee, Kookjin; Carlberg, Kevin; Elman, Howard C. 1 2018 Introduction to the special issue on iterative methods for solving systems of algebraic equations. Zbl 0888.00015 1 1997 On the convergence of line iterative methods for cyclically reduced non- symmetrizable linear systems. Zbl 0795.65016Elman, Howard C.; Golub, Gene H.; Starke, Gerhard 1 1994 Stochastic collocation with kernel density estimation. Zbl 1354.65258Elman, Howard C.; Miller, Christopher W. 1 2012 Low-rank solution methods for stochastic eigenvalue problems. Zbl 1420.65046Elman, Howard C.; Su, Tengfei 1 2019 A low-rank solver for the Navier-Stokes equations with uncertain viscosity. Zbl 1442.35568Lee, Kookjin; Elman, Howard C.; Sousedík, Bedřich 1 2019 A low-rank solver for the stochastic unsteady Navier-Stokes problem. Zbl 1442.76065Elman, Howard C.; Su, Tengfei 2 2020 Low-rank solution methods for stochastic eigenvalue problems. Zbl 1420.65046Elman, Howard C.; Su, Tengfei 1 2019 A low-rank solver for the Navier-Stokes equations with uncertain viscosity. Zbl 1442.35568Lee, Kookjin; Elman, Howard C.; Sousedík, Bedřich 1 2019 A low-rank multigrid method for the stochastic steady-state diffusion problem. Zbl 1390.35437Elman, Howard C.; Su, Tengfei 6 2018 Stochastic least-squares Petrov-Galerkin method for parameterized linear systems. Zbl 1388.35232Lee, Kookjin; Carlberg, Kevin; Elman, Howard C. 1 2018 Algebraic multigrid preconditioners for multiphase flow in porous media. Zbl 1392.65024Bui, Quan M.; Elman, Howard C.; Moulton, David J. 8 2017 A preconditioned low-rank projection method with a rank-reduction scheme for stochastic partial differential equations. Zbl 1373.60126Lee, Kookjin; Elman, Howard C. 5 2017 Block preconditioners for stable mixed nodal and edge finite element representations of incompressible resistive MHD. Zbl 1349.76903Phillips, Edward G.; Shadid, John N.; Cyr, Eric C.; Elman, Howard C.; Pawlowski, Roger P. 17 2016 Stochastic Galerkin methods for the steady-state Navier-Stokes equations. Zbl 1349.76268Sousedík, Bedřich; Elman, Howard C. 5 2016 Efficient iterative algorithms for linear stability analysis of incompressible flows. Zbl 1425.65052Elman, Howard C.; Rostami, Minghao W. 3 2016 Inverse subspace iteration for spectral stochastic finite element methods. Zbl 1336.65060Sousedík, Bedřich; Elman, Howard C. 3 2016 Preconditioning techniques for reduced basis methods for parameterized elliptic partial differential equations. Zbl 1457.65174Elman, Howard C.; Forstall, Virginia 6 2015 A stochastic approach to uncertainty in the equations of MHD kinematics. Zbl 1351.76310Phillips, Edward G.; Elman, Howard C. 5 2015 Finite elements and fast iterative solvers. With applications in incompressible fluid dynamics. 2nd ed. Zbl 1304.76002Elman, Howard C.; Silvester, David J.; Wathen, Andrew J. 220 2014 IFISS: A computational laboratory for investigating incompressible flow problems. Zbl 1426.76645Elman, Howard C.; Ramage, Alison; Silvester, David J. 61 2014 A block preconditioner for an exact penalty formulation for stationary MHD. Zbl 1308.76333Phillips, Edward G.; Elman, Howard C.; Cyr, Eric C.; Shadid, John N.; Pawlowski, Roger P. 19 2014 Reduced basis collocation methods for partial differential equations with random coefficients. Zbl 1282.35424Elman, Howard C.; Liao, Qifeng 24 2013 Lyapunov inverse iteration for computing a few rightmost eigenvalues of large generalized eigenvalue problems. Zbl 1425.65053Elman, Howard C.; Wu, Minghao 5 2013 Efficient iterative solvers for stochastic Galerkin discretizations of log-transformed random diffusion problems. Zbl 1251.35200Ullmann, Elisabeth; Elman, Howard C.; Ernst, Oliver G. 20 2012 Lyapunov inverse iteration for identifying Hopf bifurcations in models of incompressible flow. Zbl 1247.65047Elman, Howard C.; Meerbergen, Karl; Spence, Alastair; Wu, Minghao 8 2012 Fast inexact implicitly restarted Arnoldi method for generalized eigenvalue problems with spectral transformation. Zbl 1263.65041Xue, Fei; Elman, Howard C. 8 2012 Stochastic collocation with kernel density estimation. Zbl 1354.65258Elman, Howard C.; Miller, Christopher W. 1 2012 Assessment of collocation and Galerkin approaches to linear diffusion equations with random data. Zbl 1229.65026Elman, Howard C.; Miller, Christopher W.; Phipps, Eric T.; Tuminaro, Raymond S. 21 2011 Fast iterative solvers for buoyancy driven flow problems. Zbl 1369.76040Elman, Howard; Mihajlović, Milan; Silvester, David 16 2011 Fast inexact subspace iteration for generalized eigenvalue problems with spectral transformation. Zbl 1253.65059Xue, Fei; Elman, Howard C. 12 2011 Fast iterative solver for convection-diffusion systems with spectral elements. Zbl 1209.65130Lott, P. Aaron; Elman, Howard 3 2011 Convergence analysis of iterative solvers in inexact Rayleigh quotient iteration. Zbl 1201.65060Xue, Fei; Elman, Howard C. 14 2010 \(H(\text{div})\) preconditioning for a mixed finite element formulation of the diffusion problem with random data. Zbl 1216.65155Elman, Howard C.; Furnival, Darran G.; Powell, Catherine E. 5 2010 Block-diagonal preconditioning for spectral stochastic finite-element systems. Zbl 1169.65007Powell, Catherine E.; Elman, Howard C. 66 2009 Boundary conditions in approximate commutator preconditioners for the Navier-Stokes equations. Zbl 1391.76539Elman, Howard C.; Tuminaro, Ray S. 22 2009 A non-self-adjoint quadratic eigenvalue problemdescribing a fluid-solid interaction. II: Analysis of convergence. Zbl 1153.74015Bourne, 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 1290.76023Elman, Howard; Howle, V. E.; Shadid, John; Shuttleworth, Robert; Tuminaro, Ray 57 2008 Algorithm 866: IFISS, a Matlab toolbox for modelling incompressible flow. Zbl 1365.65326Elman, Howard C.; Ramage, Alison; Silvester, David J. 152 2007 Least squares preconditioners for stabilized discretizations of the Navier-Stokes equations. Zbl 1166.65326Elman, Howard; Howle, Victoria E.; Shadid, John; Silvester, David; Tuminaro, Ray 21 2007 Solving the stochastic steady-state diffusion problem using multigrid. Zbl 1141.65004Elman, Howard; Furnival, Darran 15 2007 Block preconditioners based on approximate commutators. Zbl 1100.65042Elman, Howard; Howle, Victoria E.; Shadid, John; Shuttleworth, Robert; Tuminaro, Ray 62 2006 Analysis and comparison of geometric and algebraic multigrid for convection-diffusion equations. Zbl 1133.65102Wu, Chin-Tien; Elman, Howard C. 8 2006 Fourier analysis of multigrid for a model two-dimensional convection-diffusion equation. Zbl 1098.65105Elman, Howard C.; Ramage, Alison 2 2006 Finite elements and fast iterative solvers: with applications in incompressible fluid dynamics. Zbl 1083.76001Elman, Howard C.; Silvester, David J.; Wathen, Andrew J. 364 2005 Preconditioning strategies for models of incompressible flow. Zbl 1203.76098Elman, H. C. 26 2005 Efficient iterative algorithms for the stochastic finite element method with application to acoustic scattering. Zbl 1091.76032Elman, Howard C.; Ernst, Oliver G.; O’Leary, Dianne P.; Stewart, Michael 20 2005 Complete stagnation of GMRES. Zbl 1025.65022Zavorin, Ilya; O’Leary, Dianne P.; Elman, Howard 17 2003 A parallel block multi-level preconditioner for the 3D incompressible Navier-Stokes equations. Zbl 1061.76058Elman, Howard C.; Howle, Victoria E.; Shadid, John N.; Tuminaro, Ray S. 17 2003 Preconditioning techniques for Newton’s method for the incompressible Navier-Stokes equations. Zbl 1244.76023Elman, H. C.; Loghin, D.; Wathen, A. J. 11 2003 A characterisation of oscillations in the discrete two-dimensional convection-diffusion equation. Zbl 1008.65083Elman, Howard C.; Ramage, Alison 7 2003 A new preconditioner for the Oseen equations. Zbl 1268.76036Wathen, A.; Loghin, D.; Kay, D.; Elman, H.; Silvester, D. 4 2003 Performance and analysis of saddle point preconditioners for the discrete steady-state Navier-Stokes equations. Zbl 1143.76531Elman, Howard C.; Silvester, David J.; Wathen, Andrew J. 98 2002 Preconditioners for saddle point problems arising in computational fluid dynamics. Zbl 1168.76348Elman, Howard C. 57 2002 An analysis of smoothing effects of upwinding strategies for the convection-diffusion equation. Zbl 1017.65090Elman, Howard C.; Ramage, Alison 10 2002 Block preconditioners for the discrete incompressible Navier-Stokes equations. Zbl 1019.76023Elman, Howard C.; Silvester, David J.; Wathen, Andrew J. 7 2002 A multigrid method enhanced by Krylov subspace iteration for discrete Helmholtz equations. Zbl 1004.65134Elman, Howard C.; Ernst, Oliver G.; O’Leary, Dianne P. 72 2001 Efficient preconditioning of the linearized Navier-Stokes equations for incompressible flow. Zbl 0983.76051Silvester, David; Elman, Howard; Kay, David; Wathen, Andrew 66 2001 Iterative methods for stabilized discrete convection-diffusion problems. Zbl 0980.65127Shih, Yin-Tzer; Elman, Howard C. 9 2000 Preconditioning for the steady-state Navier–Stokes equations with low viscosity. Zbl 0935.76057Elman, Howard C. 93 1999 Modified streamline diffusion schemes for convection-diffusion problems. Zbl 0957.76035Shih, Yin-Tzer; Elman, Howard C. 23 1999 Eigenanalysis of some preconditioned Helmholtz problems. Zbl 0934.65119Elman, Howard C.; O’Leary, Dianne P. 12 1999 Efficient iterative solution of the three-dimensional Helmholtz equation. Zbl 0929.65089Elman, Howard C.; O’Leary, Dianne P. 17 1998 Iterative methods for problems in computational fluid dynamics. Zbl 0957.76071Elman, Howard C.; Silvester, David J.; Wathen, Andrew J. 20 1997 A note on conjugate gradient convergence. Zbl 0905.65047Naiman, 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 0843.65080Elman, Howard; Silvester, David 83 1996 Multigrid and Krylov subspace methods for the discrete Stokes equations. Zbl 0865.76078Elman, Howard C. 25 1996 Algebraic analysis of the hierarchical basis preconditioner. Zbl 0828.65032Elman, Howard C.; Zhang, Xuejun 5 1995 Use of linear algebra kernels to build an efficient finite element solver. Zbl 0875.68511Elman, Howard C.; Lee, Dennis K.-Y. 3 1995 Inexact and preconditioned Uzawa algorithms for saddle point problems. Zbl 0815.65041Elman, Howard C.; Golub, Gene H. 228 1994 Ordering effects on relaxation methods applied to the discrete convection-diffusion equation. Zbl 0803.65033Elman, Howard C.; Chernesky, Michael P. 6 1994 Iterative methods for linear systems. Zbl 0832.65026Elman, Howard C. 2 1994 Multigrid and Krylov subspace methods for the discrete Stokes equations. Zbl 0814.65119Elman, Howard C. 2 1994 On the convergence of line iterative methods for cyclically reduced non- symmetrizable linear systems. Zbl 0795.65016Elman, Howard C.; Golub, Gene H.; Starke, Gerhard 1 1994 Performance of the \(h-p\) version of the finite element method with various elements. Zbl 0780.73071Babuška, I.; Elman, H. C. 7 1993 Ordering effects on relaxation methods applied to the discrete one- dimensional convection-diffusion equation. Zbl 0790.65027Elman, Howard C.; Chernesky, Michael P. 6 1993 Performance enhancement and parallel algorithms for two multilevel preconditioners. Zbl 0786.65025Elman, H. C.; Guo, Xian-Zhong 2 1993 Line iterative methods for cyclically reduced discrete convection- diffusion problems. Zbl 0752.65067Elman, Howard C.; Golub, Gene H. 15 1992 Parallel implementation of the \(hp\)-version of the finite element method on a shared-memory architecture. Zbl 0765.65101Babuška, I.; Elman, H. C.; Markley, K. 7 1992 Parallel sparse Cholesky factorization on a shared memory multiprocessor. Zbl 0757.65030Zhang, G.; Elman, H. C. 1 1992 Iterative methods for cyclically reduced non-self-adjoint linear systems. II. Zbl 0716.65096Elman, Howard C.; Golub, Gene H. 16 1991 Iterative methods for cyclically reduced non-self-adjoint linear systems. Zbl 0699.65021Elman, Howard C.; Golub, Gene H. 33 1990 Fourier analysis of iterative methods for elliptic problems. Zbl 0684.65092Chan, Tony F.; Elman, Howard C. 27 1989 Relaxed and stabilized incomplete factorizations for non-self-adjoint linear systems. Zbl 0694.65011Elman, Howard C. 17 1989 Some aspects of parallel implementation of the finite-element method on message passing architectures. Zbl 0693.65077Babuška, I.; Elman, H. C. 9 1989 Ordering techniques for the preconditioned conjugate gradient method on parallel computers. Zbl 0798.65038Elman, Howard C.; Agrón, Elvira 7 1989 Approximate Schur complement preconditioners on serial and parallel computers. Zbl 0678.65018Elman, Howard C. 4 1989 A stability analysis of incomplete LU factorizations. Zbl 0621.65024Elman, Howard C. 31 1986 Preconditioning by fast direct methods for nonself-adjoint nonseparable elliptic equations. Zbl 0619.65093Elman, Howard C.; Schultz, Martin H. 28 1986 A hybrid Chebyshev Krylov subspace algorithm for solving nonsymmetric systems of linear equations. Zbl 0613.65031Elman, Howard C.; Saad, Youcef; Saylor, Paul E. 24 1986 Polynomial iteration for nonsymmetric indefinite linear systems. Zbl 0605.65020Elman, Howard C.; Streit, Roy L. 8 1986 The (new) Yale sparse matrix package. Zbl 0562.65014Eisenstat, Stanley C.; Elman, Howard C.; Schultz, Martin H.; Sherman, Andrew H. 2 1984 Variational iterative methods for nonsymmetric systems of linear equations. Zbl 0524.65019Eisenstat, Stanley C.; Elman, Howard C.; Schultz, Martin H. 252 1983 all cited Publications top 5 cited Publications all top 5 Cited by 2,280 Authors 37 Zhang, Guofeng 32 Ma, Changfeng 30 Liang, Zhaozheng 29 Wathen, Andrew John 28 Elman, Howard C. 25 Bai, Zhongzhi 21 Stoll, Martin 20 Axelsson, Axel Owe Holger 19 Cao, Yang 19 Huang, Ting-Zhu 18 Benzi, Michele 18 Wu, Yujiang 18 Yang, Aili 17 Olshanskii, Maxim A. 17 Vuik, Cornelis 15 Shang, Yueqiang 15 Silvester, David J. 14 Ferronato, Massimiliano 14 Simoncini, Valeria 13 Khojasteh Salkuyeh, Davod 13 Quarteroni, Alfio M. 13 Saad, Yousef 13 Zhang, Jun 12 Fan, Hongtao 11 Badia, Santiago 11 Benner, Peter 11 Cao, Zhihao 11 Cui, Jingjing 11 Greif, Chen 11 Huang, Na 11 Huang, Zhengge 11 Pestana, Jennifer 11 Rebholz, Leo G. 11 Spence, Euan A. 11 Wang, Ligong 11 Wei, Yimin 11 Xu, Zhong 11 Zhang, Naimin 11 Zheng, Bing 10 Castelletto, Nicola 10 White, Joshua A. 10 Zikatanov, Ludmil T. 9 Graham, Ivan G. 9 He, Yinnian 9 Hu, Xiaozhe 9 MacLachlan, Scott P. 9 Neytcheva, Maya G. 9 Niu, Qiang 9 Pearson, John W. 9 Powell, Catherine Elizabeth 9 Sousedík, Bedřich 9 Szyld, Daniel B. 9 Vanroose, Wim 9 Wu, Shiliang 9 Xu, Jinchao 9 Zheng, Qingqing 8 Bergamaschi, Luca 8 Deparis, Simone 8 Karátson, János 8 Li, Wen 8 Miao, Shu-Xin 8 Ramage, Alison 8 Shadid, John N. 8 Zhu, Xinyun 7 Adler, James H. 7 Auricchio, Ferdinando 7 Bespalov, Alexei 7 Chao, Zhen 7 Dou, Yan 7 Feng, Xinlong 7 Gambolati, Giuseppe 7 Han, Danfu 7 Il’in, Valeriĭ Pavlovich 7 Li, Changjun 7 Peng, Xiaofei 7 Schwab, Christoph 7 Shao, Xinhui 7 Shao, Xinping 7 Wang, Zengqi 7 Zhang, Guodong 6 Aulisa, Eugenio 6 Bacuta, Constantin 6 Cai, Xiao-Chuan 6 Chen, Guoliang 6 Cyr, Eric C. 6 Golub, Gene Howard 6 Heil, Matthias 6 Howle, Victoria E. 6 Janna, Carlo 6 Jia, Zhongxiao 6 Ke, Guoyi 6 Li, Cuixia 6 Liao, Lidan 6 Liao, Qifeng 6 Lin, Yiqin 6 Lu, Junfeng 6 Manzoni, Andrea 6 Martín, Alberto F. 6 Ng, Michael Kwok-Po 6 Notay, Yvan ...and 2,180 more Authors all top 5 Cited in 164 Serials 148 Journal of Computational and Applied Mathematics 140 Journal of Computational Physics 129 Computer Methods in Applied Mechanics and Engineering 113 SIAM Journal on Scientific Computing 107 Applied Mathematics and Computation 97 Computers & Mathematics with Applications 76 Applied Numerical Mathematics 70 Numerical Linear Algebra with Applications 63 Numerical Algorithms 48 Numerische Mathematik 48 International Journal of Computer Mathematics 46 Linear Algebra and its Applications 39 BIT 39 Journal of Scientific Computing 30 Mathematics of Computation 26 SIAM Journal on Matrix Analysis and Applications 25 Computational and Applied Mathematics 21 International Journal for Numerical Methods in Engineering 21 SIAM/ASA Journal on Uncertainty Quantification 19 Computers and Fluids 19 International Journal for Numerical Methods in Fluids 16 Applied Mathematics Letters 15 Mathematics and Computers in Simulation 15 Advances in Computational Mathematics 15 East Asian Journal on Applied Mathematics 13 SIAM Journal on Numerical Analysis 12 Numerical Methods for Partial Differential Equations 11 Computational Geosciences 10 Computational Mechanics 10 Computational Optimization and Applications 10 Engineering Analysis with Boundary Elements 9 Journal of Applied Mathematics and Computing 9 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 8 Journal of Fluid Mechanics 8 Calcolo 8 Japan Journal of Industrial and Applied Mathematics 8 Applied Mathematical Modelling 8 Computing and Visualization in Science 8 Journal of Numerical Mathematics 7 Archives of Computational Methods in Engineering 7 Computational Methods in Applied Mathematics 7 Communications in Computational Physics 6 Computing 6 Numerical Functional Analysis and Optimization 6 International Journal of Numerical Methods for Heat & Fluid Flow 6 ETNA. Electronic Transactions on Numerical Analysis 6 International Journal of Computational Methods 5 Advances in Applied Mathematics and Mechanics 4 Applications of Mathematics 4 Applied Mathematics. Series B (English Edition) 4 Engineering Computations 4 Journal of Applied Mathematics 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Acta Numerica 3 Mathematical Methods in the Applied Sciences 3 Mathematical and Computer Modelling 3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 3 SIAM Review 3 Journal of Mathematical Imaging and Vision 3 Advances in Engineering Software 3 Communications in Numerical Methods in Engineering 3 Journal of Mathematical Sciences (New York) 3 Mathematical Problems in Engineering 3 International Journal of Computational Fluid Dynamics 3 Mathematical Modelling and Analysis 3 Multiscale Modeling & Simulation 3 Frontiers of Mathematics in China 3 Science China. Mathematics 3 International Journal for Numerical Methods in Biomedical Engineering 3 S\(\vec{\text{e}}\)MA Journal 3 ISRN Applied Mathematics 2 Computer Physics Communications 2 Communications on Pure and Applied Mathematics 2 Journal of Engineering Mathematics 2 Journal of the Korean Mathematical Society 2 Applied Mathematics and Mechanics. (English Edition) 2 Mitteilungen der Gesellschaft für Angewandte Mathematik und Mechanik 2 Parallel Computing 2 RAIRO. Modélisation Mathématique et Analyse Numérique 2 SIAM Journal on Mathematical Analysis 2 Vietnam Journal of Mathematics 2 Optimization Methods & Software 2 Journal of Inequalities and Applications 2 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 2 Mediterranean Journal of Mathematics 2 Journal of Computational Acoustics 2 Inverse Problems in Science and Engineering 2 Advances in Numerical Analysis 2 Journal of Applied Mathematics & Informatics 2 ISRN Computational Mathematics 2 Communications on Applied Mathematics and Computation 1 Applicable Analysis 1 International Journal of Engineering Science 1 International Journal for Numerical and Analytical Methods in Geomechanics 1 Journal of Mathematical Analysis and Applications 1 Journal of Mathematical Biology 1 Linear and Multilinear Algebra 1 Transport Theory and Statistical Physics 1 Wave Motion 1 ACM Transactions on Mathematical Software ...and 64 more Serials all top 5 Cited in 38 Fields 1,582 Numerical analysis (65-XX) 516 Fluid mechanics (76-XX) 441 Partial differential equations (35-XX) 136 Mechanics of deformable solids (74-XX) 135 Linear and multilinear algebra; matrix theory (15-XX) 76 Calculus of variations and optimal control; optimization (49-XX) 72 Probability theory and stochastic processes (60-XX) 49 Optics, electromagnetic theory (78-XX) 40 Operations research, mathematical programming (90-XX) 31 Geophysics (86-XX) 30 Biology and other natural sciences (92-XX) 28 Computer science (68-XX) 20 Systems theory; control (93-XX) 18 Operator theory (47-XX) 17 Classical thermodynamics, heat transfer (80-XX) 14 Ordinary differential equations (34-XX) 13 Statistics (62-XX) 11 Approximations and expansions (41-XX) 11 Integral equations (45-XX) 11 Statistical mechanics, structure of matter (82-XX) 10 Information and communication theory, circuits (94-XX) 9 Combinatorics (05-XX) 5 Dynamical systems and ergodic theory (37-XX) 4 Potential theory (31-XX) 3 Difference and functional equations (39-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Functional analysis (46-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 History and biography (01-XX) 2 Functions of a complex variable (30-XX) 2 Integral transforms, operational calculus (44-XX) 2 Quantum theory (81-XX) 1 General and overarching topics; collections (00-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) Citations by Year