Selected Publications

Normal Modes of Orthotropic Plates, Proceedings 12th International Congress on Acoustics, International Union of Pure and Applied Physics (IUPAP), Toronto, July 1986, (with M. D. Gunzburger & R. T. Schumacher).
On the Existence, Uniqueness and Finite Element Approximation of Solutions of the Equations of Stationary, Incompressible MHD, Los Alamos Report LA-UR-2708, Los Alamos National Laboratory, Los Alamos, NM, 1989, (with M. D. Gunzburger & J. S. Peterson).
On the Existence, Uniqueness, and Finite Element Approximation of Solutions of the Equations of Stationary, Incompressible Magnetohydrodynamics, Math. Comp. 56 194 (1991) 523-563, (with M. D. Gunzburger & J. S. Peterson).
Vorticity Constraints in Velocity-Vorticity Formulation of Steady, Viscous, Incompressible Flow, in Proceedings of the Seventh International Conference on Numerical Methods in Laminar and Turbulent Flow, C. Taylor, J. H. Chin and G. M. Homsy eds., Pineridge Press, Swansea, United Kingdom, 1991, 774-781, (with Q. Du & M. D. Gunzburger).
On Some Control Problems Related to MHD Flows, in Proceedings of the Seventh International Conference on Numerical Methods in Laminar and Turbulent Flow, C. Taylor, J. H. Chin and G. M. Homsy eds., Pineridge Press, Swansea, United Kingdom, 1991, 1680-1689, (with L. S. Hou).
Analysis of Some Boundary Optimal Control Problems for the MHD Equations with Mixed Boundary Conditions, Research Report No. 93-01, Department of Mathematics and Statistics, Simon Fraser University, (with L. S. Hou).
The Equations of Stationary, Incompressible Magnetohydrodynamics with Mixed Boundary Conditions, Computers Math. Applic. 25 12 (1993) 13-29.
Finite Element Analysis of Magnetohydrodynamic Pipe Flow, Appl. Math. Comput. 57 2&3 (1993) 177-196.
Thermally Coupled Magnetohydrodynamics Flow, Appl. Math. Comput. 65 1-3 (1994) 79-94.
A Velocity-Current Formulation for Stationary MHD Flow, Appl. Math. Comput. 65 1-3 (1994) 95-109, (with P. G. Schmidt).
Boundary Optimal Control of MHD Flows, Appl. Math. Optim. 32 (1995) 143-162, (with L. S. Hou).
Thermally Coupled Stationary, Incompressible MHD Flow; Existence, Uniqueness and Finite Element Approximation, Numerical Methods Partial Differential Equations 11 (1995), 311-337.
Variational Methods for Stationary MHD Flow Under Natural Interface Conditions, Nonlinear Anal. 26 4 (1996) 659-689, (with P. G. Schmidt).
On DGS Relaxation: The Stokes Problem, Seventh Copper Mountain Conference on Multigrid Methods, NASA Conference Publication 3339, N. D. Melson, T. A. Manteuffel, S. F. McCormick, and C. C. Douglas, eds., Hampton, 1996, 551-563.
A Two-Level Discretization Method for the Stationary MHD Equations, Electronic Transactions on Numerical Analysis 6 (1997) 198-210 (with W. J. Layton & P. G. Schmidt).
Analysis and Finite-Element Simulation of MHD Flows, with an Application to Seawater Drag Reduction, in: Proceedings of the International Symposium on Seawater Drag Reduction, Newport, July 22-23, 1998, 401-406, (with P. G. Schmidt).
An Elliptic Problem with Integral Constraints, with Application to Large-Scale Geophysical Flows, Computational Geosciences 2 4 (1998) 337-346 (with Irad Yavneh).
Analysis and Finite-Element Simulation of MHD Flows, with an Applications to Liquid Metal Processing, in: Fluid Flow Phenomena in Metals Processing (N. El-Kaddah, et al. eds.), Proceedings of a Symposium at the 1999 Annual Meeting of the Minerals, Metals and Materials Society, San Diego, January 28-March 4, 1999, 561-569, TMS, Warrendale, PA, 1999 (with P. G. Schmidt).
Analysis and Numerical Approximation of a Stationary MHD Flow Problem with Nonideal Boundary, SIAM J. Numer. Anal. 36 4 (1999) 1304-1332 (with P. G. Schmidt).
Velocity, potential, and temperature distributions in molten metals during electromagnetic stirring, Part~I: Numerical simulations, in: Proceedings of a Symposium at the 1999 ASME International Mechanical Engineering Congress and Exhibition, Nashville, Tennessee, November 14-19, 1999 (with P. G. Schmidt, S. I. Bakhtiyarov, and R. A. Overfelt).
Velocity, potential, and temperature distributions in molten metals during electromagnetic stirring, Part~II: Numerical simulations, in: Proceedings of a Symposium at the 1999 ASME International Mechanical Engineering Congress and Exhibition, Nashville, Tennessee, November 14-19, 1999 (with P. G. Schmidt, S. I. Bakhtiyarov, and R. A. Overfelt).
Amperometric Pulse Train Detection as Improved Pseudo Voltammetric Mode for Solvent Polymeric Ion Sensors, (with S. Jadhav and E. Bakker, submitted).

Home

Background

Current Projects