Publications

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Elman H.  2001.  Preconditioners for Saddle Point Problems Arising in Computational Fluid Dynamics. UMIACS-TR-2001-88
Elman H.  1986.  A Stability Analysis of Incomplete LU Factorizations. Mathematics of Computation. 47(175):191-217.
Elman H, Silvester DJ, Wathen AJ.  2002.  Performance and analysis of saddle point preconditioners for the discrete steady-state Navier-Stokes equations. Numerische Mathematik. 90(4):665-688.
Elman H, Ramage A, Silvester DJ.  2007.  IFISS: A Matlab toolbox for modelling incompressible flow. ACM Transactions on Mathematical Software. 33(2)
Elman H.  1994.  Iterative methods for linear systems. Large-Scale Matrix Problems and the Numerical Solution of Partial Differential Equations. 3:69-177.
Elman H.  1997.  Perturbation of eigenvalues of preconditioned Navier-Stokes operators. SIAM Journal on Matrix Analysis and Applications. 18(3):733-751.
Elman H, Saad Y, Saylor PE.  1986.  A Hybrid Chebyshev Krylov Subspace Algorithm for Solving Nonsymmetric Systems of Linear Equations. SIAM Journal on Scientific and Statistical ComputingSIAM J. Sci. and Stat. Comput.. 7(3):840-840.
Elman H, Golub GH.  1991.  Iterative methods for cyclically reduced non-self-adjoint linear systems II. Math. Comp. 56(193):215-242.
Elman H.  1999.  Preconditioning for the steady-state Navier-Stokes equations with low viscosity. SIAM Journal on Scientific Computing. 20(4):1299-1316.
Elman H.  2005.  Preconditioning strategies for models of incompressible flow. Journal of Scientific Computing. 25(1):347-366.
Elman H, Golub GH.  1990.  Line iterative methods for cyclically reduced discrete convection-diffusion problems.
Elman H, Silvester DJ, Wathen AJ.  2005.  Finite Elements and Fast Iterative Solvers : with Applications in Incompressible Fluid Dynamics. :416.
Elman H, Howle VE, Shadid J, Tuminaro R.  2002.  A Parallel Block Multi-level Preconditioner for the 3D Incompressible Navier--Stokes Equations. UMIACS-TR-2002-95
Elman H.  1982.  Iterative methods for large, sparse, nonsymmetric systems of linear equations.. Dissertation Abstracts International Part B: Science and Engineering[DISS. ABST. INT. PT. B- SCI. & ENG.],. 43(5):1982-1982.
Elman H.  1981.  Preconditioned Conjugate-Gradient Methods for Nonsymmetric Systems of Linear Equations..
Elman H, O'Leary DP.  1999.  Eigenanalysis of Some Preconditioned Helmholtz Problems. Numerische Mathematik. 83:231-257.
Elman H.  1997.  Iterative Methods for Linear and Nonlinear Equations.. 66
Elman H, Golub GH.  1994.  Inexact and Preconditioned Uzawa Algorithms for Saddle Point Problems. SIAM Journal on Numerical Analysis. 31(6):1645-1661.
Elman H, Howle VE, Shadid J, Shuttleworth R, Tuminaro R.  2006.  Block preconditioners based on approximate commutators. SIAM Journal on Scientific Computing. 27(5):1651-1668.
Elman H, Lee DK-Y.  1995.  Use of linear algebra kernels to build an efficient finite element solver. Parallel Computing. 21(1):161-173.
Elman H, Chernesky MP.  1993.  Ordering Effects on Relaxation Methods Applied to the Discrete One- Dimensional Convection-Diffusion Equation. SIAM Journal on Numerical Analysis. 30(5):1268-1290.
Elman H, Streit R.  1986.  Polynomial iteration for nonsymmetric indefinite linear systems. Numerical Analysis. :103-117.
Elman H, Furnival DG, Powell CE.  2008.  H (div) preconditioning for a mixed finite element formulation of the stochastic diffusion problem.
Elman H, Silvester DJ, Wathen AJ.  1997.  Iterative methods for problems in computational fluid dynamics. Iterative Methods in Scientific Computing. :271-327.
Ellis J, Tran C, Ryoo J, Shneiderman B.  1998.  Buttons vs. menus: An exploratory study of pull-down menu selection as compared to button bars. Technical Reports of the Computer Science Department.

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