Publications

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[ Author(Desc)] Title Type Year
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E
Elman H.  1997.  Perturbation of eigenvalues of preconditioned Navier-Stokes operators. SIAM Journal on Matrix Analysis and Applications. 18(3):733-751.
Elman H, O'Leary DP.  1998.  Efficient Iterative Solution of the Three-Dimensional Helmholtz Equation. Journal of Computational Physics. 142(1):163-181.
Elman H.  2005.  Preconditioning strategies for models of incompressible flow. Journal of Scientific Computing. 25(1):347-366.
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, 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, Golub GH.  1990.  Line iterative methods for cyclically reduced discrete convection-diffusion problems.
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.  1997.  Iterative Methods for Linear and Nonlinear Equations.. 66
Elman H.  1981.  Preconditioned Conjugate-Gradient Methods for Nonsymmetric Systems of Linear Equations..
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, Ernst OG, O’Leary DP, Stewart M.  2005.  Efficient iterative algorithms for the stochastic finite element method with application to acoustic scattering. Computer Methods in Applied Mechanics and Engineering. 194(9–11):1037-1055.
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, Silvester DJ, Wathen AJ.  2005.  Finite Elements and Fast Iterative Solvers : with Applications in Incompressible Fluid Dynamics. :416.
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, Streit R.  1986.  Polynomial iteration for nonsymmetric indefinite linear systems. Numerical Analysis. :103-117.
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, Silvester DJ, Wathen AJ.  1997.  Iterative methods for problems in computational fluid dynamics. Iterative Methods in Scientific Computing. :271-327.
Elman H, Schultz MH.  1986.  Preconditioning by Fast Direct Methods for Nonself-Adjoint Nonseparable Elliptic Equations. SIAM Journal on Numerical Analysis. 23(1):44-57.
Elman H, Furnival DG, Powell CE.  2008.  H (div) preconditioning for a mixed finite element formulation of the stochastic diffusion problem.
Elman H, Zhang X.  1995.  Algebraic Analysis of the Hierarchical Basis Preconditioner. SIAM Journal on Matrix Analysis and ApplicationsSIAM. J. Matrix Anal. & Appl.. 16(1):192-192.
Elman H, Ernst OG, O'Leary DP, others.  2002.  A multigrid method enhanced by Krylov subspace iteration for discrete Helmholtz equations. SIAM Journal on scientific computing. 23(4):1291-1315.
Elman H, Howle VE, Shadid J, Silvester D, Tuminaro R.  2007.  Least squares preconditioners for stabilized discretizations of the Navier-Stokes equations. SIAM J. Sci. Comput. 30(1):290-311.
Elman H, Ramage A.  2003.  A characterisation of oscillations in the discrete two-dimensional convection-diffusion equation. Mathematics of computation. 72(241):263-288.
Elman H.  1989.  Relaxed and stabilized incomplete factorizations for non-self-adjoint linear systems. BIT Numerical Mathematics. 29(4):890-915.

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