Publications
1994. Inexact and Preconditioned Uzawa Algorithms for Saddle Point Problems. SIAM Journal on Numerical Analysis. 31(6):1645-1661.
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.
1999. Preconditioning for the steady-state Navier-Stokes equations with low viscosity. SIAM Journal on Scientific Computing. 20(4):1299-1316.
2006. Block preconditioners based on approximate commutators. SIAM Journal on Scientific Computing. 27(5):1651-1668.
2005. Preconditioning strategies for models of incompressible flow. Journal of Scientific Computing. 25(1):347-366.
1993. Ordering Effects on Relaxation Methods Applied to the Discrete One- Dimensional Convection-Diffusion Equation. SIAM Journal on Numerical Analysis. 30(5):1268-1290.
2002. A Parallel Block Multi-level Preconditioner for the 3D Incompressible Navier--Stokes Equations. UMIACS-TR-2002-95
2008. H (div) preconditioning for a mixed finite element formulation of the stochastic diffusion problem.
1995. Algebraic Analysis of the Hierarchical Basis Preconditioner. SIAM Journal on Matrix Analysis and ApplicationsSIAM. J. Matrix Anal. & Appl.. 16(1):192-192.
2007. Least squares preconditioners for stabilized discretizations of the Navier-Stokes equations. SIAM J. Sci. Comput. 30(1):290-311.
1995. Use of linear algebra kernels to build an efficient finite element solver. Parallel Computing. 21(1):161-173.
1989. Relaxed and stabilized incomplete factorizations for non-self-adjoint linear systems. BIT Numerical Mathematics. 29(4):890-915.
1986. Polynomial iteration for nonsymmetric indefinite linear systems. Numerical Analysis. :103-117.
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.
1997. Iterative methods for problems in computational fluid dynamics. Iterative Methods in Scientific Computing. :271-327.
2003. An Analysis of Smoothing Effects of Upwinding Strategies for the Convection-Diffusion Equation. SIAM Journal on Numerical Analysis. 40(1):254-281.
1986. Preconditioning by Fast Direct Methods for Nonself-Adjoint Nonseparable Elliptic Equations. SIAM Journal on Numerical Analysis. 23(1):44-57.
1994. On the convergence of line iterative methods for cyclically reduced non-symmetrizable linear systems. Numerische Mathematik. 67(2):177-190.
2002. A multigrid method enhanced by Krylov subspace iteration for discrete Helmholtz equations. SIAM Journal on scientific computing. 23(4):1291-1315.
1993. Performance Enhancements and Parallel Algorithms for Two Multilevel Preconditioners. SIAM Journal on Scientific ComputingSIAM J. Sci. Comput.. 14(4):890-890.
2003. A characterisation of oscillations in the discrete two-dimensional convection-diffusion equation. Mathematics of computation. 72(241):263-288.
1996. Multigrid and Krylov subspace methods for the discrete Stokes equations. International journal for numerical methods in fluids. 22(8):755-770.
1998. Buttons vs. menus: An exploratory study of pull-down menu selection as compared to button bars. Technical Reports of the Computer Science Department.