Matthias Maier

Texas A&M University

My principal field of research lies in the finite element simulation of physical problems with two-scale and multiscale phenomena. These are modeling problems where relevant physical processes act on highly different length and time scales.

Mansi Bezbaruah

Texas A&M University

My research interests are numerical methods for PDEs, finite element methods, finite element software, parallel and distributed computing, PDE-constrained optimization, shape optimization, and time-harmonic Maxwell's equations.

Andrea Bonito

Texas A&M University

My research centers around the design, analysis and implementation of numerical methods for partial differential equation. In particular, I am interested in adaptive methods, free boundary problems, geometric PDEs, non newtonian fluid dynamics, approximation methods in high dimensions, and optimal learning.

Jean-Luc Guermond

Texas A&M University

I am interested in numerical analysis, Computational fluid dynamics, Robust simulation of hyperbolic conservation equations, multi-scale approximation, homogenization and radiative transport.

Diane Guignard

University of Ottawa, CA

I am interested in the design, analysis, and implementation of numerical methods for partial differential equations, in particular methods based on finite elements. Specific applications include the simulation of the deformation of plates or the approximation of parametric/random differential equations.

Matthias Maier

Texas A&M University

Ignacio Tomas

Texas Tech University

Broad interests in the Analysis and development of space and time discretizations that preserve essential structural properties of the PDE. In particular, energy estimates, entropy inequalities, invariant sets, maximum/minimum principles, positivity properties, and asymptotic limits of the original PDE. I am also very interested in PDE physical modeling, with a particular focus on models of electric charge transport.

Crystal Farris

Texas A&M University

I am a first year math PhD student studying under Dr. Matthias Maier. My research interests are in numerical methods for partial differential equations.

Jordan Hoffart

Texas A&M University

I'm a 4th year math PhD student studying under Dr. Matthias Maier. My research focuses on developing and analyzing numerical methods to solve PDE systems that come from fluid dynamics and electromagnetic phenomena.

David (Chris) Pecoraro

Texas A&M University

I am a third year PhD student studying under Dr. Matthias Maier and Dr. Jean Luc Guermond. My research interests include finite element methods and computational fluid dynamics. In particular, I am interested in creating and analyzing robust and efficient numerical methods for fluid dynamics problems where flows with a wide range of Mach numbers appear.

Madison Sheridan

Texas A&M University

I'm a 5th year PhD studying under Dr. Jean-Luc Guermond. My research is in computational fluid dynamics with a focus on solving problems using the finite element method in a Lagrangian framework.