WIAS-ALEA - Framework for high-dimensional functional Uncertainty Quantification
ALEA is a free python library for research in Uncertainty Quantification (UQ). Its focus is on functional spectral approximations on the basis of polynomial chaos and on the treatment of high-dimensional discretisations. For this, methods for adaptive sparse grid quadrature and low-rank approximations based on hierarchical tensors are incorporated.
DiPoG - Direct and Inverse Problems for Optical Gratings
Based on coupled generalized finite/boundary elements and gradient type optimization methods this program package provides simulation and optimization of periodic diffractive structures with multilayer stacks.
WIAS-MeFreSim - 3D-Simulation of Multifrequency Induction Hardening
Simulation of multi-frequency induction hardening for arbitrary workpiece geometries in 3D. The software uses the finite element method for Maxwell's equations based on edge elements, adaptive grid generation and efficient solvers for the linearized systems of partial differential equations.
- Partial Differential Equations
- Laser Dynamics
- Numerical Mathematics and Scientific Computing
- Nonlinear Optimization and Inverse Problems
- Interacting Random Systems
- Stochastic Algorithms and Nonparametric Statistics
- Thermodynamic Modeling and Analysis of Phase Transitions
- Nonsmooth Variational Problems and Operator Equations