
Todd J Arbogast
Professor, Core Faculty
Department of Mathematics, Institute for Computational Engineering and Science
W. A. "Tex" Moncrief, Jr. Distinguished Professorship in Computational Engineering and Sciences  Applied Mathematics  W. A. "Tex" Moncrief, Jr. SimulationBased Engineering and Sciences Professorship INumerical Analysis, Partial Differential Equations, Subsurface Modelingarbogast@ices.utexas.edu
Phone: 5124710166
Office Location
RLM 11.162
Postal Address
The University of Texas at Austin
MATHEMATICS
2515 SPEEDWAY, Stop C1200
AUSTIN, TX 787121202

Ph.D., University of Chicago (1987)
S.M., University of Chicago (1983)
B.S., University of Minnesota (1981)
B.S., University of Minnesota (1981)Research Interests
Todd Arbogast's areas of expertise include the numerical analysis of partial differential systems, mathematical modeling, and scientific computation. His research includes the development of a characteristicsmixed scheme for advective flow, the study of cellcentered finite differences (mixed methods) for nonlinear and geometrically irregular problems, the modeling and simulation of flow through fractured and vuggy media, and numerical subgrid upscaling of heterogeneous media and nonlinear problems. He is a member of the Institute for Computational Engineering and Sciences and its Center for Subsurface Modeling at The University of Texas at Austin, and an associated faculty in the Division of Statistics and Scientific Computation.

Publications
(Articles in progress)
[1] T. Arbogast. Composite materials and homogenization. In B. Engquist et al., editor, Encyclopedia of Applied and Computational Mathematics. Springer, 2012, submitted.[2] T. Arbogast and J. L. Bona. Functional Analysis for the Applied Mathematician. In preparation, 2012.
[3] T. Arbogast, D. Estep, B. Sheehan, and S. Tavener. Aposteriori error estimates for mixed nite element and nite volume methods for problems coupled through a boundary with nonmatching grids. Submitted, 2012.
[4] T. Arbogast, M. Juntunen, J. Pool, and M. F. Wheeler. A discontinuous Galerkin method for twophase ow in a porous medium enforcing H(div) velocity and continuous capillary pressure. Submitted, 2012.
Articles in Journals and Other Refereed Works
[1] T. Arbogast and Hailong Xiao. A multiscale mortar mixed space based on homogenization for heterogeneous elliptic problems. SIAM J. Numer. Anal., 51(1):377{399, 2013.
[2] T. Arbogast, Zhen Tao, and Hailong Xiao. Multiscale mortar mixed methods for heterogeneous elliptic problems. In Hongtao Yang Jichun Li and Eric Machorro, editors, Recent Advances in Scientic Computing and Applications, volume 586 of Contemporary Mathematics, Providence, Rhode Island, 2013, to appear. American Mathematical Society.
[3] T. Arbogast, Ch.S. Huang, and Ch.H. Hung. A fully conservative EulerianLagrangian streamtube method for advectiondiusion problems. SIAM J. Sci. Comput., 34(4):B447{ B478, 2012.
[4] T. Arbogast, Ch.S. Huang, and T. F. Russell. A locally conservative EulerianLagrangian method for a model twophase ow problem in a onedimensional porous medium. SIAM J. Sci. Comput., 34(4):A1950{A1974, 2012.
[5] Ch.S. Huang, T. Arbogast, and Jianxian Qiu. An EulerianLagrangian WENO nite volume scheme for advection problems. J. Comput. Phys., 231(11):4028{4052, 2012. DOI 10.1016/j.jcp.2012.01.030.
[6] T. Arbogast and WenHao Wang. Stability, monotonicity, maximum and minimum principles, and implementation of the volume corrected characteristic method. SIAM J. Sci. Comput., 33(4):1549{1573, 2011.

 Fellow of the Society for Industrial and Applied Mathematics, 2018
 Fellow of the American Mathematical Society, 2012
 Moncrief Grand Challenge Faculty Award, 2012 (The University of Texas at Austin)
 ICES Distinguished Research Award, 2011 (The University of Texas at Austin)
 Frank Gerth III Faculty Fellowship, 20082012 (The University of Texas at Austin)
 The President's Associates Centennial Teaching Fellowship in Mathematics, 19971998 (TheUniversity of Texas at Austin)
 National Science Foundation Mathematical Sciences Postdoctoral Research Fellowship, 19891992 (University of Houston and Rice University)
 Robert R. McCormick Fellowship, 19811984 (University of Chicago)
 Sigma Pi Sigma (physics) and Tau Beta Pi (engineering) honor societies
 Century Fund Scholarship, 19761977 (University of Minnesota