Applications using DUNE - FEM

Method Development

Convection Dominated Problems

• Stabilization of Discontinuous Galerkin Schemes (University of Freiburg)
• Numerical Schemes on Manifolds
• Finite Volume Schemes for the Shallow Water Equations on the Sphere (Tsunami Modeling) (University of Freiburg)
• Finite Volume Schemes for scalar Equations (University of Freiburg)
• Local-adaptive Time Discretization of Evolution Equations (University of Freiburg)
• Compact Discontinuous Galerkin 2 (CDG2) Method for Navier-Stokes equations (University of Freiburg)

Elliptic Problems

• Compact Discontinuous Galerkin Method (University of Freiburg)

Hamilton-Jacobi Equations

• Evolution of Hamilton-Jacobi Equations (University of Freiburg)

Applications

Fuel Cells

• Simulation of PEM Fuel Cells (University of Freiburg, University of Münster)

Geophysical Flow Problems

• Local Discontinuous Galerkin method for shallow 3D free surface flows (University of Freiburg)
• Adaptive Numerics for Multiscale Phenomena - Metström project (University of Freiburg)

Multiscale Problems

• The heterogeneous multiscale finite element method (University of Münster)

Two-Phase Flow Problems

• The isothermal Navier-Stokes-Korteweg model (University of Freiburg)

Biological Problems

Teaching Applications

dune-ash

Interactive volcano ash simulation with advection-diffusion equations (University of Freiburg)