RESEARCH

Numerical Analysis of Discontinuous Galerkin (DG) Finite Element Methods

Kinetic and Boltzmann equations
DG methods applied to linear Boltzmann equation and Fokker-Planck equations
Chemotaxis models
DG methods applied to chemotaxis models for biological applications
hp adaptive implementation
Time dependent convection-diffusion equations
Modeling porous media applications with highly varying diffusion coefficients
Shallow water equations
Coupling of continuous and DG methods
Error analysis and implementation
Turbulence modeling
Storm surge modeling
A priori L1 and L2 estimates, and a posteriori error estimates
Multinumerics and multiphysics models

COLLABORATORS
Clint Dawson, CSM, ICES, The University of Texas at Austin
Alexandre Ern, CERMICS, Ecole Nationale des Ponts et Chaussees
Irene Gamba, Mathematics, ICES, The University of Texas at Austin
Theirry Goudon, INRIA, Universite des sciences et Technologies Lille 1
Maria Pia Gualdani, ICES, The University of Texas at Austin
Armando Majorana, Mathematics, University of Catania
Beatrice Riviere, Mathematics, University of Pittsburgh

STUDENTS
Sylvia Payet, Ecole Normale Superieure de Cachan

Jennifer Proft