Professional Home Page of Todd Arbogast

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 Eulerian-Lagrangian and WENO schemes for advective flow; the study of mixed methods and cell-centered finite differences for nonlinear and geometrically irregular elliptic problems; the modeling and simulation of multi-phase flow through porous media, including fractured and vuggy media, with applications to petroleum production and groundwater resources; numerical homogenization, subgrid upscaling, and domain decomposition of heterogeneous media; and simulation of the dynamics of the Earth's mantle. He is a core member of the Oden Institute for Computational Engineering and Sciences and associate director of the Center for Subsurface Modeling at The University of Texas at Austin, and an associated faculty of the Department of Statistics and Date Sciences.

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Graduate Programs

Lecture Notes for Applied Mathematics (2008 corrected version) Methods of Applied Mathematics

Overview of CSEM program for incoming students

Undergraduate Advising

MPA Advising office (E-Mail: mpaadv@austin.utexas.edu)

Mathematics Degree Options. (For older degree catalogues: Specialization in Scientific Computation degree requirements.)
Suggested coursework: Mathematics Degree Pathways

Computational Science and Engineering (CSE) Certificate Program. Undergraduate opportunity for in-depth study and research in CSE.

Careers in applied mathematics and MAA career profiles.
Careers in mathematics and Unique jobs for math majors
Experiential Learning Resources. Portal for finding research experiences, internships, and study abroad.

Software Links

Demonstration code for the paper: T. Arbogast and C. Wang, Direct Serendipity and Mixed Finite Elements on Convex Polygons, Numerical Algorithms (2022)
directpoly

Parallel Subsurface Simulator
Parssim Manual
Parssim code (gzip tar file)

Miscellaneous Links