Publications

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[ Author(Asc)] Title Type Year
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E
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, Golub GH.  1994.  Inexact and Preconditioned Uzawa Algorithms for Saddle Point Problems. SIAM Journal on Numerical Analysis. 31(6):1645-1661.
Elman H, O'Leary DP.  1999.  Eigenanalysis of Some Preconditioned Helmholtz Problems. Numerische Mathematik. 83:231-257.
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, 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, 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, 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, Silvester DJ, Wathen AJ.  2005.  Finite Elements and Fast Iterative Solvers : with Applications in Incompressible Fluid Dynamics. :416.
Elman H, Furnival DG, Powell CE.  2008.  H (div) preconditioning for a mixed finite element formulation of the stochastic diffusion problem.
Elman H.  1997.  Iterative Methods for Linear and Nonlinear Equations.. 66
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, O'Leary DP.  1998.  Efficient Iterative Solution of the Three-Dimensional Helmholtz Equation. Journal of Computational Physics. 142(1):163-181.
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, Lee DK-Y.  1995.  Use of linear algebra kernels to build an efficient finite element solver. Parallel Computing. 21(1):161-173.
Elman H.  1989.  Relaxed and stabilized incomplete factorizations for non-self-adjoint linear systems. BIT Numerical Mathematics. 29(4):890-915.
Elman H, Streit R.  1986.  Polynomial iteration for nonsymmetric indefinite linear systems. Numerical Analysis. :103-117.
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, Silvester DJ, Wathen AJ.  1997.  Iterative methods for problems in computational fluid dynamics. Iterative Methods in Scientific Computing. :271-327.
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, 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, 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, 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, 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.
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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