Finite Elements and Fast Iterative Solvers: with Applications in Incompressible Fluid Dynamics HC Elman, DJ Silvester, AJ Wathen Oxford University Press, 2005 | 2513* | 2005 |
Variational iterative methods for nonsymmetric systems of linear equations SC Eisenstat, HC Elman, MH Schultz SIAM Journal on Numerical Analysis 20 (2), 345-357, 1983 | 1367 | 1983 |
Inexact and preconditioned Uzawa algorithms for saddle point problems HC Elman, GH Golub SIAM Journal on Numerical Analysis 31 (6), 1645-1661, 1994 | 655 | 1994 |
Iterative Methods for Large, Sparse, Nonsymmetric Systems of Linear Equations HC Elman Yale University, 1982 | 562 | 1982 |
Algorithm 866: IFISS, a Matlab toolbox for modelling incompressible flow DJ Silvester, HC Elman, A Ramage ACM Transactions on Mathematical Software (TOMS) 33 (2), 14, 2007 | 358* | 2007 |
Fast nonsymmetric iterations and preconditioning for Navier–Stokes equations H Elman, D Silvester SIAM Journal on Scientific Computing 17 (1), 33-46, 1996 | 329 | 1996 |
A multigrid method enhanced by Krylov subspace iteration for discrete Helmholtz equations HC Elman, OG Ernst, DP O'leary SIAM Journal on Scientific Computing 23 (4), 1291-1315, 2001 | 314 | 2001 |
Preconditioning for the steady-state Navier--Stokes equations with low viscosity HC Elman SIAM Journal on Scientific Computing 20 (4), 1299-1316, 1999 | 308 | 1999 |
Efficient preconditioning of the linearized Navier–Stokes equations for incompressible flow D Silvester, H Elman, D Kay, A Wathen Journal of Computational and Applied Mathematics 128 (1-2), 261-279, 2001 | 271 | 2001 |
Performance and analysis of saddle point preconditioners for the discrete steady-state Navier-Stokes equations HC Elman, DJ Silvester, AJ Wathen Numerische Mathematik 90, 665-688, 2002 | 266 | 2002 |
Block preconditioners based on approximate commutators H Elman, VE Howle, J Shadid, R Shuttleworth, R Tuminaro SIAM Journal on Scientific Computing 27 (5), 1651-1668, 2006 | 257 | 2006 |
A taxonomy and comparison of parallel block multi-level preconditioners for the incompressible Navier–Stokes equations H Elman, VE Howle, J Shadid, R Shuttleworth, R Tuminaro Journal of Computational Physics 227 (3), 1790-1808, 2008 | 210 | 2008 |
Block-diagonal preconditioning for spectral stochastic finite element systems CE Powell, HC Elman IMA Journal of Numerical Analysis 29, 350-375, 2009 | 193 | 2009 |
A stability analysis of incomplete LU factorizations HC Elman Mathematics of Computation, 191-217, 1986 | 187 | 1986 |
Multigrid and Krylov subspace methods for the discrete Stokes equations HC Elman International Journal for Numerical Methods in Fluids 22, 755-770, 1996 | 145 | 1996 |
IFISS: A computational laboratory for investigating incompressible flow problems HC Elman, A Ramage, DJ Silvester SIAM Review 56 (2), 261-273, 2014 | 130 | 2014 |
A hybrid Chebyshev Krylov subspace algorithm for solving nonsymmetric systems of linear equations HC Elman, Y Saad, PE Saylor SIAM Journal on Scientific and Statistical Computing 7 (3), 840-855, 1986 | 127 | 1986 |
Preconditioners for saddle point problems arising in computational fluid dynamics HC Elman Applied Numerical Mathematics 43 (1-2), 75-89, 2002 | 122 | 2002 |
Fourier analysis of iterative methods for elliptic problems TF Chan, HC Elman SIAM Review 31 (1), 20-49, 1989 | 121 | 1989 |
Preconditioning by fast direct methods for nonself-adjoint nonseparable elliptic equations HC Elman, MH Schultz SIAM Journal on Numerical Analysis 23 (1), 44-57, 1986 | 110 | 1986 |