Publications

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[ Author(Desc)] Title Type Year
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E
Elman H.  1989.  Approximate Schur Complement Preconditioners on Serial and Parallel Computers. SIAM Journal on Scientific and Statistical ComputingSIAM J. Sci. and Stat. Comput.. 10(3):581-581.
Elman H, Streit R.  1986.  Polynomial iteration for nonsymmetric indefinite linear systems. Numerical Analysis. :103-117.
Elman H, O'Leary DP.  1999.  Eigenanalysis of Some Preconditioned Helmholtz Problems. Numerische Mathematik. 83:231-257.
Elman H, Ramage A.  2003.  An Analysis of Smoothing Effects of Upwinding Strategies for the Convection-Diffusion Equation. SIAM Journal on Numerical Analysis. 40(1):254-281.
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, Golub GH, Starke G.  1994.  On the convergence of line iterative methods for cyclically reduced non-symmetrizable linear systems. Numerische Mathematik. 67(2):177-190.
Elman H, Guo X-Z.  1993.  Performance Enhancements and Parallel Algorithms for Two Multilevel Preconditioners. SIAM Journal on Scientific ComputingSIAM J. Sci. Comput.. 14(4):890-890.
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.  1996.  Multigrid and Krylov subspace methods for the discrete Stokes equations. International journal for numerical methods in fluids. 22(8):755-770.
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, Silvester D.  1996.  Fast nonsymmetric iterations and preconditioning for Navier-Stokes equations. SIAM Journal on Scientific Computing. 17(1):33-46.
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, Silvester DJ, Wathen AJ.  2002.  Block preconditioners for the discrete incompressible Navier–Stokes equations. International Journal for Numerical Methods in Fluids. 40(3‐4):333-344.
Elman H, Agrón E.  1989.  Ordering techniques for the preconditioned conjugate gradient method on parallel computers. Computer Physics Communications. 53(1-3):253-269.
Elman H, Silvester DJ, Wathen AJ.  2005.  Finite Elements and Fast Iterative Solvers : with Applications in Incompressible Fluid Dynamics. :416.
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, Furnival D.  2007.  Solving the stochastic steady-state diffusion problem using multigrid. IMA journal of numerical analysis. 27(4):675-675.
Elman H.  1997.  Perturbation of eigenvalues of preconditioned Navier-Stokes operators. SIAM Journal on Matrix Analysis and Applications. 18(3):733-751.
Elman H, Golub GH.  1990.  Iterative methods for cyclically reduced non-self-adjoint linear systems. Math. Comp. 54(190):671-700.
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, 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, Golub GH.  1991.  Iterative methods for cyclically reduced non-self-adjoint linear systems II. Math. Comp. 56(193):215-242.
Elman H, Ramage A.  2006.  Fourier analysis of multigrid for a model two-dimensional convection-diffusion equation. BIT Numerical Mathematics. 46(2):283-306.

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