CSM Research Team:

Background

Clint Dawson's research interests include development, analysis, and implementation of numerical methods for flow and transport in porous media and shallow water equations. Of particular interest are Discontinuous Galerkin schemes, finite volume schemes, and multialgorithmic strategies.

Other interests include data assimilation and a posteriori error estimation.

Education

• NSF Postdoctoral Fellowship, Mathematics, University of Chicago, 1988-90.
• Ph.D., Mathematical Sciences, Rice University, 1988.
• M.S. in Mathematics, Texas Tech University, 1984
• B.A. in Mathematics, Texas Tech University, summa cum laude, 1982

Professional Experience

• Professor, The University of Texas at Austin, 2000-present
• Associate Professor, The University of Texas at Austin, 1995-00
• Associate Professor, Rice University, 1994-95
• Assistant Professor, Rice University, 1990-94
• Dickson Instructor, University of Chicago 1988-90

Publications

Related Publications:

• 1. V. Aizinger, C. Dawson, B. Cockburn and P. Castillo, The local discontinuous Galerkin method for contaminant transport, Advances in Water Resources, 24, pp.73-87, 2000.
• 2. C. S. Woodward and C. Dawson, Analysis of expanded mixed finite element methods for a nonlinear parabolic equation modeling flow into variably saturated porous media, SIAM J. Numer. Anal., 23, pp. 517-530, 2000.
• 3. C. Dawson and R. Kirby, High resolution schemes for conservation laws with locally varying time steps, SIAM J. Sci. Comp., pp. 2256-2284, 2001.
• 4. V. Aizinger and C. Dawson, A discontinuous Galerkin method for two-dimensional flow and transport in shallow water, Advances in Water Resources, 25, pp. 67-84, 2002.
• 5. B. Cockburn and C. Dawson, Approximation of the velocity by coupling discontinuous Galerkin and mixed finite element methods for flow problems, Computational Geosciences, 6, pp. 505-522, 202.
• 6. C. Dawson and J. Proft, Coupling of continuous and discontinuous Galerkin methods for transport problems, Comp. Meth. Appl. Mech. Eng., 191, pp. 3213-3231, 2002.
• 7. C. Dawson and J. Proft, Discontinuous and coupled continuous/discontinuous Galerkin methods for the shallow water equations, Comp. Meth. Appl. Mech. Eng., 191, pp. 421-4746, 2002.
• 8. C. Dawson, S. Sun and M. F. Wheeler, Compatible algorithms for coupled flow and transport, to appear in Comp. Meth. Appl. Mech. Eng.
• 9. C. Dawson, The Pk+1-Sklocal discontinuous Galerkin method for flow problems, to appear in SIAM J. Numer. Anal.
• 10. D. Dawson and J. Proft, Coupled discontinuous and continuous Galerkin finite element methods for the depth-integrated shallow water equations, to appear in Comp. Meth. Appl. Mech. Eng.

Synergistic Activities

• Graduate Advisor, Computational and Applied Mathematics Program, The University of Texas at Austin, 1997-present.
• Chair, SIAM Activity Group on Geosciences, 2001-2004.
• Program Chair, 7th SIAM Conference on the Geosciences, March 2003.
• Organizing Committee, SIAM Annual Meeting, Portland, Oregon, 2004.

Collaborators & Affiliations

Latest Collaborators

• Todd Arbogast, University of Texas at Austin
• Steven Bryant, University of Texas at Austin
• Bernardo Cockburn, University of Minnesota
• Martin Guillot, University of New Orleans
• Tahsin Kurc, Ohio State University
• Randy Kolar, University of Oklahoma
• Rick Luettich, University of North Carolina
• Manish Parashar, Rutgers University
• Malgorzata Peszynska, Oregon State University
• Joel Saltz, Ohio State University
• Mrinal Sen, University of Texas at Austin
• Paul Stoffa, University of Texas at Austin
• Joannes Westerink, University of Notre Dame

Graduate and Postdoctoral Advisees

• Burak Aksoylu, Post-doc, 2003-present
• John Baird, Ph.D. student
• Heriberto Gonzalez, Ph.D. student
• Vadym Aizinger, Ph.D. student
• Dharhas Pothina, M.S., 2002
• Jennifer Proft, Ph.D., 2002
• Ruijie Liu, Ph.D. student
• Robert Kirby, Ph.D., 2000
• Carlos Celentano, Post-doc, 1997-2000
• Monica Martinez-Canales, Ph.D., 1998
• Susan Minkoff, Post-doc, 1996-1998
• Srinivas Chippada, Post-doc, 1995-1998
• Phillip Keenan, Post-doc, 1994-1998
• Carol San Soucie Woodward, Ph.D., 1996
• Hector Klie, Ph.D., 1996
• Victor Parr, Ph. D., 1995
• Jesse Money, Professional Master‚s Degree, 1995
• Ashok Chilikipati, Ph.D., 1992

Advisors

• Mary F. Wheeler (Ph.D.)
• Todd F. Dupont (Post-doctoral)