Forschung
DUNE
DUNE, the Distributed and Unified Numerics Environment is a modular toolbox
for solving partial differential equations with grid-based methods.
It supports easy discretization using methods like Finite Elements, Finite Volumes,
and also Finite Differences.
DUNE Homepage
DUNE-FEM
DUNE-FEM is a DUNE module which defines interfaces for implementing discretization methods like
Finite Element Methods (FEM) and Finite Volume Methods (FV) and Discontinuous Galerkin Methods (DG).
The module is developed in cooperation with the group of Dietmar Kröner Freiburg.
DUNE-FEM Homepage
ALUGrid
For numerical computation in the field of fluid dynamics a flexible implementation
of a discretization grid is needed. The ALUGrid Library provides both hexahedral and
tetrahedral grids which can be locally adapted and when used for parallel computations
the decomposition of the domain can be recomputed.
ALUGrid Homepage
GRAPE
GRAPE is a package for mathematical visualization. It has been particularly effective in the
fields of differential geometry and continuum mechanics. But it will probably help to understand
any other problem involving the numerics of partial differential equations or the need of advanced
three-dimensional computer graphics.
GRAPE Homepage
GFLOW
Gflow is a numerical toolbox for the approximation of density driven and two phase flow
problems in porous media. It provides adaptive triangular meshes in two space dimensions.
Developer M. Ohlberger
RBmatlab
RBmatlab is a
MATLAB library containing all our reduced simulation
approaches for linear and nonlinear, affine or arbitrarily
parameter dependent evolution problems with finite element,
finite volume or local discontinuous Galerkin
discretizations.
RBmatlab Homepage
Ongoing projects of Workgroup Prof. Burger:
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PET Reconstruction with Prior Knowledge
SFB Molecular Cardiovascular Imaging, Subproject B2 (DFG, 2005-2009, 2009-2013)
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INVERS
Segmentation and Cartoon Reconstruction in Optical Nanoscopy (BMBF, 2007-2010)
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Sparsity and Bayesian Inversion
Sparsity-constrained inversion with tomographic applications (DFG, Inverse Problems Initiative, 2011-2013)
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Regularization with Singular Energies
Regularisierung mit singulären Energien (DFG, 2008-2011)
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Ion Channels
Multiscale Simulation of Ion Transport through Biological and Synthetic Channels (VW-Stiftung, 2009-2012)
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4D Imaging
4D Imaging in Tomography and Optical Nanoscopy (Deutsche Telekom Stiftung, 2008-2010)
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Semiconductor Design
Optimal Control of Self-Consistent Classical and Quantum Particle Systems (DFG, 2009-2012)

Ongoing projects of Workgroup Prof. Ohlberger:
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DFG-Project: RBEvol
Reduced basis methods for model reduction of parametrized non-linear evolution equations.
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DFG-Project: Multiscale
Multiscale analysis of two-phase flow in porous media with complex heterogeneities.
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SFB 656: PM 09
Modellierung der Blutströmung für ein Atherosklerose Modell



