Howard Elman

Professor
3125 A.V. Williams Building
(301) 405-2694
(301)405-6707
Education: 
Ph.D., Yale University (Computer Science)
Biography: 

Howard Elman is a professor in the Department of Computer Science.

Elman's research focus is numerical solution of partial differential equations, computational fluid dynamics, sparse matrix methods, and uncertainty quantification.

He has held visiting positions at Stanford University, the University of Manchester Institute of Science and Technology, and the University of Oxford. Elman has been selected as a SIAM Fellow and serves on the SIAM Committee on Science Policy and SIAM Financial Management Committee.

He has been designated a "highly cited researcher" by Thomson Reuters. In addition, he has served on the editorial boards of SIAM Journal on Scientific Computing, where he was editor-in-chief from 1998-2004, as well as Mathematics of Computation and Numerical Linear Algebra with Applications. Elman's book, "Finite Elements and Fast Iterative Solvers," co-authored with D. J. Silvester and A. J. Wathen, was published by Oxford University Press.

He received his doctorate in computer science from Yale University in 1982.

Publications

2011


Shuttleworth RR, Elman H, Long KR, Templeton JA.  2011.  Fast solvers for models of ICEO microfluidic flows. International Journal for Numerical Methods in Fluids. 65(4):383-404.

2009


Powell CE, Elman H.  2009.  Block-diagonal preconditioning for spectral stochastic finite-element systems. IMA Journal of Numerical Analysis. 29(2):350-350.

2008

2007


Elman H, Ramage A, Silvester DJ.  2007.  IFISS: A Matlab toolbox for modelling incompressible flow. ACM Transactions on Mathematical Software. 33(2)

Elman H, Furnival D.  2007.  Solving the stochastic steady-state diffusion problem using multigrid. IMA journal of numerical analysis. 27(4):675-675.

Ramage A, Elman H.  2007.  Some observations on multigrid convergence for convection–diffusion equations. Computing and Visualization in Science. 10(1):43-56.

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.

2006


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.

2005


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.  2005.  Preconditioning strategies for models of incompressible flow. Journal of Scientific Computing. 25(1):347-366.

2003


Zavorin I, O’Leary DP, Elman H.  2003.  Complete stagnation of GMRES. Linear Algebra and its Applications. 367:165-183.

Zavorin I, O'Leary DP, Elman H.  2003.  Complete stagnation of. Linear Algebra and its Applications. 367:165-183.

2002


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, 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.

2001

2000


Shih YT, Elman H.  2000.  Iterative methods for stabilized discrete convection-diffusion problems. IMA journal of numerical analysis. 20(3):333-333.

1999


Shih Y-T, Elman H.  1999.  Modified streamline diffusion schemes for convection-diffusion problems. Computer Methods in Applied Mechanics and Engineering. 174(1-2):137-151.

1998

1997


Elman H, Silvester DJ, Wathen AJ.  1997.  Iterative methods for problems in computational fluid dynamics. Iterative Methods in Scientific Computing.
:271-327.

Elman H.  1997.  Perturbation of eigenvalues of preconditioned Navier-Stokes operators. SIAM Journal on Matrix Analysis and Applications. 18(3):733-751.

Naiman AE, Babuška IM, Elman H.  1997.  A note on conjugate gradient convergence. Numerische Mathematik. 76(2):209-230.

1996


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.  1996.  Multigrid and Krylov subspace methods for the discrete Stokes equations. International journal for numerical methods in fluids. 22(8):755-770.

1995


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.

1994


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.  1994.  Iterative methods for linear systems. Large-Scale Matrix Problems and the Numerical Solution of Partial Differential Equations. 3:69-177.

1993


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.

1992

1991

1990

1989


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.

Babuska I, Elman H.  1989.  Some aspects of parallel implementation of the finite-element method on message passing architectures. Journal of Computational and Applied Mathematics. 27(1-2):157-187.

1988

1986


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.  1986.  A Stability Analysis of Incomplete LU Factorizations. Mathematics of Computation. 47(175):191-217.

1983


Eisenstat SC, Elman H, Schultz MH, Sherman AH.  1983.  The (new) Yale sparse matrix package. Elliptic problem solvers II.
:45-52.

Eisenstat SC, Elman H, Schultz MH.  1983.  Variational Iterative Methods for Nonsymmetric Systems of Linear Equations. SIAM Journal on Numerical Analysis. 20(2):345-357.

1982


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.

1981