Todd Arbogast earned his Ph.D. in mathematics from the University of Chicago. He is professor of mathematics, chair of the Computational Sciences, Engineering and Mathematics Graduate Studies Committee, and a founding member and associate director of the Center for Subsurface Modeling at the Oden Institute for Computational Engineering and Sciences at UT Austin. He is the faculty co-adviser of the university’s student chapter of the Society for Industrial and Applied Mathematics. He is the current holder of the W. A. "Tex" Moncrief, Jr. Simulation-Based Engineering and Sciences Professorship I.
His research contributes to the development and analysis of numerical algorithms for the approximation of partial differential systems, high performance and parallel scientific computation, and multi-scale mathematical modeling, as applied to fluid flow and transport in geologic porous media. Important applications include petroleum production, groundwater contamination, carbon sequestration, and mantle dynamics.
Arbogast’s research includes Eulerian-Lagrangian schemes for transport, mixed finite element and mortar techniques for flow, homogenization and modeling of flow through multi-scale fractured and vuggy geologic media, simulation of partially molten materials, and variational multi-scale methods for heterogeneous media.
Arbogast has authored more than 70 scientific and technical publications, and serves on the editorial boards of three scientific journals and technical series. He is the recipient of Oden Institute's Distinguished Research Award and Moncrief Grand Challenge Faculty Award as well as a Frank Gerth III Faculty Fellowship.