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Publikationen
projects
Neueste Arbeiten des Instituts
2017
Numerical homogenization of H(curl)-problems 1706.02966.pdf
arXiv e-prints 1706.02966 - 2017

Non-Conforming Localized Model Reduction with Online Enrichment: Towards Optimal Complexity in PDE constrained Optimization
FINITE VOLUME FOR COMPLEX APPLICATIONS 8 - 2017

MULTIBAT: Unified workflow for fast electrochemical 3D simulations of lithium-ion cells combining virtual stochastic microstructures, electrochemical degradation models and model order reduction
Julian Feinauer, Simon Hein, Stephan Rave, Sebastian Schmidt, Simon Westhoff, Jochen Zausch, Oleg Iliev, Arnulf Latz, Mario Ohlberger, Volker Schmidt
arXiv e-prints arXiv [math.NA] num. 1704.04139 - 2017

Hierarchical model reduction of nonlinear partial differential equations based on the adaptive empirical projection method and reduced basis techniques 1401.0851v3.pdf
M2AN Math. Model. Numer. Anal. pages 641--677 vol. 51 num. 2 - march 2017  doi: 10.1051/m2an/2016031
 
2016
Multiframe Motion Coupling via Infimal Convolution Regularization for Video Super Resolution 1611.07767.pdf
Hendrik Dirks, Jonas Geiping, Daniel Cremers, Michael Moeller
arXiv e-prints - 2016

A-posteriori error estimate for a heterogeneous multiscale approximation of advection-diffusion problems with large expected drift
Discrete and Continuous Dynamical Systems - Series S pages 1393--1420 vol. 9 num. 5 - october 2016  doi: 10.3934/dcdss.2016056


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Software
DUNE

  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

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

  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

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

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



pyMOR

  pyMOR

A modern Python-based model reduction library which can be easily integrated with external PDE solvers   Project Page



dune-gdt

  dune-gdt

DUNE generic discretization toolbox   Project page



dune-xt-common

  dune-xt-common

A Bsd licensed collection of convenience and utility classes for the DUNE framework.   Project Page



dune-xt-grid

  dune-xt-grid

A Bsd licensed collection of convenience and utility classes for the DUNE framework.   Project Page



dune-xt-la

  dune-xt-la

A Bsd licensed collection of convenience and utility classes for the DUNE framework.   Project Page



dune-xt-functions

  dune-xt-functions

A Bsd licensed collection of convenience and utility classes for the DUNE framework.   Project Page



RBmatlab

  RBmatlab

RBmatlab is a MATLAB library containing reduced simulation algorithms for linear and nonlinear, affine or arbitrarily parameter dependent evolution problems with finite element, finite volume or local discontinuous Galerkin discretizations.   RBmatlab Homepage



DUNE-Fem-Localfunctions

  DUNE-Fem-Localfunctions

A Module for using DUNE-Localfunctions in DUNE-FEM   DUNE-Fem-Localfunctions Homepage



Iod

  Iod

Implementation Of Dynamic-Causal-Modelling
  Download



emgr

  emgr

empirical gramian framework
  Project Page



DUNE-FEM-Oseen

  DUNE-FEM-Oseen

A Local Discontinuous Galerkin discretization/solver module based on DUNE-FEM.   Project page



DUNE-FEM-Navier-Stokes

  DUNE-FEM-Navier-Stokes

A DUNE-FEM-Oseen based time discretization module for the incompressible Navier-Stokes equations.   Project page



dune-stuff

  dune-stuff

A Bsd licensed collection of convenience and utility classes for the DUNE framework.   dune-stuff Homepage



DUNE-Multiscale

  DUNE-Multiscale

Multiscale method framework with DUNE   Project Page





Projekte
projects

Ongoing projects of Workgroup Prof. Burger:

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Ongoing projects of Workgroup Prof. Ohlberger:

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