Publications
2006. Fourier analysis of multigrid for a model two-dimensional convection-diffusion equation. BIT Numerical Mathematics. 46(2):283-306.
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.
1991. Iterative methods for cyclically reduced non-self-adjoint linear systems II. Math. Comp. 56(193):215-242.
2001. Preconditioners for Saddle Point Problems Arising in Computational Fluid Dynamics. UMIACS-TR-2001-88
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.
2007. IFISS: A Matlab toolbox for modelling incompressible flow. ACM Transactions on Mathematical Software. 33(2)
1998. Efficient Iterative Solution of the Three-Dimensional Helmholtz Equation. Journal of Computational Physics. 142(1):163-181.
1994. Iterative methods for linear systems. Large-Scale Matrix Problems and the Numerical Solution of Partial Differential Equations. 3:69-177.
1994. Inexact and Preconditioned Uzawa Algorithms for Saddle Point Problems. SIAM Journal on Numerical Analysis. 31(6):1645-1661.
1999. Preconditioning for the steady-state Navier-Stokes equations with low viscosity. SIAM Journal on Scientific Computing. 20(4):1299-1316.
2005. Preconditioning strategies for models of incompressible flow. Journal of Scientific Computing. 25(1):347-366.
2006. Block preconditioners based on approximate commutators. SIAM Journal on Scientific Computing. 27(5):1651-1668.
2002. A Parallel Block Multi-level Preconditioner for the 3D Incompressible Navier--Stokes Equations. UMIACS-TR-2002-95
1993. Ordering Effects on Relaxation Methods Applied to the Discrete One- Dimensional Convection-Diffusion Equation. SIAM Journal on Numerical Analysis. 30(5):1268-1290.
2008. H (div) preconditioning for a mixed finite element formulation of the stochastic diffusion problem.
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.
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.
1986. Polynomial iteration for nonsymmetric indefinite linear systems. Numerical Analysis. :103-117.
1989. Relaxed and stabilized incomplete factorizations for non-self-adjoint linear systems. BIT Numerical Mathematics. 29(4):890-915.
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.