Howard Elman / Publications

Reports

• Howard C. Elman and Minghao Wu, UMIACS-TR-2012-07, 2012,
  Lyapunov Inverse Iteration for Computing a Few Righmost Eigenvalues of Large Generalized Eigenvalue Problems  
• Howard C. Elman and Christopher W. Miller, UMIACS-TR-2011-16, 2011,
  Stochastic Collocation with Kernel Density Estimation  
• Howard C. Elman, Karl Meerbergen, Alastair Spence and Minghao Wu, UMIACS-TR-2011-04, 2011,
  Lyapunov Inverse Iteration for Identifying Hopf Bifurcations in Models of Incompressible Flow  
• Fei Xue and Howard C. Elman, Technical Report, February 2010,
  Fast Inexact Implicitly Restarted Arnoldi Method for Generalized Eigenvalue Problems with Spectral Transformation

Papers published 2009-

• Elisabeth Ullmann, Howard C. Elman and Oliver G. Ernst
  Efficient iterative Solvers for stochastic Galerkin discretizations of log-transformed random diffusion problems
  SIAM Journal on Scientific Computing 34:A659-A682, 2012. DOI: 10.1137/110836675.  
• Howard Elman, Milan Mihajlović and David Silvester
  Fast iterative solvers for buoyancy driven flow problems
  Journal of Computional Physics 230:3900-3914, 2011. DOI: 10.1016/j.jcp.2011.02.014.  
• Fei Xue and Howard C. Elman
  Fast inexact subspace iteration for generalized eigenvalue problems with spectral transformation
  Linear Algebra and Its Applications 435:601-622, 2011. DOI: 10.1016/j.laa.2010.06.021.  
• Robert R. Shuttleworth, Howard C. Elman, Kevin R. Long and Jeremy A. Templeton
  Fast solvers for models of ICEO microfluidic flows
  International Journal for Numerical Methods in Fluids 65:383-404, 2011.  
• Howard C. Elman, Christopher W. Miller, Eric T. Phipps and Ray S. Tuminaro
  Assessment of collocation and Galerkin approaches to linear diffusion equations with random data
  International Journal for Uncertainty Quantifications 1:19-34, 2011.  
• P. Aaron Lott and Howard Elman
  Fast iterative solver for convection-diffusion systems with spectral elements
  Numerical Methods for Partial Differential Equations 27:231-254, 2011.  
• Howard C. Elman, Darran G. Furnival and Catherine E. Powell
  H(div) Preconditioning for a mixed finite element formulation of the diffusion problem with random data
  Mathematics of Computation 79:733-760, 2010.  
• Howard C. Elman and Ray S. Tuminaro
  Boundary conditions in approximate commutator preconditioners for the Navier-Stokes equations
  Electronic Transactions on Numerical Analysis 35:257-280, 2009.  
• Fei Xue and Howard C. Elman
  Convergence analysis of iterative solvers in inexact Rayleigh quotient iteration
  SIAM Journal on Matrix Analysis and Applications 31:877-899, 2009.
  
  
• Catherine E. Powell and Howard C. Elman
  Block-diagonal preconditioning for spectral stochastic finite element systems
  IMA Journal of Numerical Analysis 29:350-375, 2009.

Papers published 2007-2008

• Howard Elman, V. E. Howle, John Shadid, Robert Shuttleworth and Ray Tuminaro
  A taxonomy and comparison of parallel block multi-level preconditioners for the incompressible Navier-Stokes equations
  Journal of Computational Physics 227:1790-1808, 2008.
  
  
• Howard Elman, Victoria E. Howle, John Shadid, David Silvester and Ray Tuminaro
  Least squares preconditioners for stabilized discretizations of the Navier-Stokes equations
  SIAM Journal on Scientific Computing 30:290-311, 2007.
  
  
• Kouroush Sadegh Zadeh, Howard C. Elman, Hubert J. Montas and Adel Shirmohammadi
  A finite element model for protein transport in vivo
  Biomedical Engineering Online 6: Article No. 24 June 28, 2007.
  
  

  Howard Elman and Darran Furnival
  Solving the stochastic steady-state diffusion problem using multigrid
  IMA Journal of Numerical Analysis 27:675-688, 2007.
  
  

  Howard C. Elman, Alison Ramage and David J. Silvester
  IFISS: A Matlab toolbox for modelling incompressible flow

  ACM Transactions on Mathematical Software 33:14, 2007. Article 14, 18 pages.

Papers published 2005-2006

• Howard C. Elman and Alison Ramage
  Fourier analysis of multigrid for the two-dimensional convection-diffusion equation
  BIT Numerical Mathematics 46:283-306, 2006.
  
  
• Chin-Tien Wu and Howard C. Elman
  Analysis and comparison of geometric and algebraic aultigrid for convection-diffusion equations
  SIAM Journal on Scientific Computing 28:2208-2228, 2006.
  
  
• Howard Elman, Victoria E. Howle, John Shadid, Robert Shuttleworth and Ray Tuminaro
  Block preconditioners based on approximate commutators
  SIAM Journal on Scientific Computing 27:1651-1055, 2006.
  
  

  Howard C. Elman, UMCP-CSD:CS-TR-4543, 2003,
  Preconditioning strategies for models of incompressible flow
  Journal of Scientific Computing 25:347-366, 2005.
  
  

  Howard C. Elman, Oliver G. Ernst, Dianne P. O'Leary and Michael Stewart,
  Efficient iterative algorithms for the stochastic finite element method with application to acoustic scattering
  Computer Methods in Applied Mechanics and Engineering 18:1037-1055, 2005.

Papers published 2003-2004

• Howard C. Elman and Alison Ramage
  A characterisation of oscillations in the discrete two-dimensional convection-diffusion equation
  Mathematics of Computation 72:263-288, 2003.  

  Ilya Zavorin, Dianne P. O'Leary and Howard C. Elman
  Stagnation of GMRES

  Linear Algebra and its Applications 367:165-183, 2003.  

  Howard C. Elman, Victoria E. Howle, John N. Shadid and Ray S. Tuminaro
  A Parallel Block Multi-level Preconditioner for the 3D Incompressible Navier-Stokes Equations

  Journal of Computational Physics 187:504-523, 2003.  

  H. C. Elman, D. Loghin and A. J. Wathen
  Preconditioning techniques for Newton's method for the incompressible Navier-Stokes equations
  BIT 43:961-974, 2003.

Papers published 2001-2002

• David Silvester, Howard Elman, David Kay and Andrew Wathen, UMCP-CSD:CS-TR-4073, 1999,
  Efficient Preconditioning of the Linearized Navier-Stokes Equations
  Published in Journal of Computational and Applied Mathematics 128:261-279, 2001.  

  Howard C. Elman, Oliver G. Ernst and Dianne P. O'Leary, UMCP-CSD:CS-TR-4029, 1999,
  A multigrid method enhanced by Krylov subspace iteration for discrete Helmholtz equations

  SIAM Journal on Scientific Computing 23:1291-1315, 2001.  

  Howard C. Elman and Alison Ramage
  An analysis of smoothing effects of upwinding strategies for the convection-diffusion equation

  SIAM Journal on Numerical Analysis 40:254-281, 2002.  

  Howard C. Elman, David J. Silvester, and Andrew J. Wathen
  Performance and Analysis of Saddle Point Preconditioners for the Discrete Steady-State Navier-Stokes Equations

  Numerische Mathematik 90:641-664, 2002.  

  H. C. Elman, D. J. Silvester and A. J. Wathen

  Block Preconditioners for the Discrete Incompressible Navier-Stokes Equations

  International Journal for Numerical Methods in Fluids 40:333-344, 2002.  

  Howard C. Elman, UMCP-CSD:CS-TR-4311, 2001,
  Preconditioners for Saddle Point Problems Arising in Computational Fluid Dynamics

  Published in Applied Numerical Mathematics 43:75-89, 2002.

Papers published prior to 2001

• Howard Elman and David Silvester
  Fast nonsymmetric iterations and preconditioning for Navier-Stokes equations
  Published in SIAM Journal on Scientific Computing 17:33-46, 1996.  
• Howard C. Elman, UMCP-CSD:CS-TR-3302,
  Multigrid and Krylov Subspace Methods for the Discrete Stokes Equations
  Published in International Journal for Numerical Methods in Fluids 22:755-770, 1996.  
• Aaron E. Naiman, Ivo M. Babuska and Howard C. Elman, UMCP-CSD:CS-TR-3516, 1995,
  A Note on Conjugate Gradient Convergence
  Published in Numerische Mathematik 76:209-230, 1997.  

  Howard C. Elman, UMCP-CSD:CS-TR-3559, 1995,
  Perturbation of Eigenvalues of Preconditioned Navier-Stokes Operators

  Published in SIAM Journal on Matrix Analysis and Applications 18:733-751, 1997.  

  Howard C. Elman, David. J. Silvester and Andrew J. Wathen, UMCP-CSD:CS-TR-3675, 1996,
  Iterative Methods for Problems in Computational Fluid Dynamics

  Published in Iterative Methods in Scientific Computing, R. Chan, T. Chan and G. Golub, Eds., Springer-Verlag, Singapore, 1997, pp. 271-327.  

  Howard C. Elman and Dianne P. O'Leary,
  Efficient iterative solution of the three-dimensional Helmholtz equation

  Published in Journal of Computational Physics 142:163-181, 1998.  

  Howard C. Elman,
  Preconditioning for the steady-State Navier-Stokes equations with low viscosity

  Published in SIAM Journal on Scientific Computing 20:1299-1316, 1999.  

  Yin-Tzer Shih and Howard C. Elman, UMIACS-TR-97-71, 1997,
  Modified Streamline Diffusion Schemes for Convection-Diffusion Problems

  Published in Computer Methods in Applied Mechanics and Engineering 174:137-151, 1999.  

  Howard C. Elman and Dianne P. O'Leary,
  Eigenanalysis of some preconditioned Helmholtz problems

  Published in Numerische Mathematik 83:231-257, 1999.  

  Yin-Tzer Shih and Howard C. Elman, UMCP-CSD:CS-TR-3945, 1998,
  Iterative Methods for Stabilized Discrete Convection-Diffusion Problems

  Published in IMA Journal of Numerical Analysis 20:333-358, 2000.  

  Howard C. Elman and Gene H. Golub
  Inexact and preconditioned Uzawa algorithms for saddle point problems

  Published in SIAM Journal on Numerical Analysis 31:1645-1661, 1994.  

  Howard C. Elman and Gene H. Golub
  Iterative methods for cyclically reduced non-self-adjoint linear systems

  Published in Mathematics of Computation 54:, 1990.