Numerical Mathematics and Scientific Computing

ddfermi is a software prototype which simulates drift diffusion processes in classical and organic semiconductors. It uses a finite volume discretization of the basic semiconductor equations as well as thermodynamically consistent, state-of-the-art flux approximations.

ParMooN solves equations from Computational Fluid Mechanics, as convection-diffusion equations, incompressible Navier-Stokes equations and systems consisting of these types of equations, on the basis of finite element discretizations and implicit time stepping schemes.

The toolbox pdelib has been developed for solving partial differential equations in one, two and three dimensions. It includes a grid generator, iterative and direct solvers for systems of equations, an online graphics package and interfaces to packages of other institutes and companies.

TetGen is a program for generating tetrahedral meshes from three-dimensional domains. One of its main applications is to generate suitable meshes for numerically solving PDEs by finite element and finite volume methods. TetGen uses Delaunay-based algorithms which have theoretical guarantees on mesh quality and mesh size.