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    Storm Surge Modeling, Numerical Analysis of Finite Element Methods

    • Shallow water equations
      Finite element continuous and DG methods
      Error analysis and implementation
      Storm surge modeling

    • 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

    • A priori L1 and L2 estimates, and a posteriori error estimates

    • Multinumerics and multiphysics models

      Jennifer Proft