Dr. Martin Nolte

Martin Nolte

Abteilung für Angewandte Mathematik
Albert-Ludwigs-Universität Freiburg
Hermann-Herder-Str. 10, Raum 204
79104 Freiburg im Breisgau

Tel: 0761 / 203 5630
E-Mail: nolte@mathematik.uni-freiburg.de
Sprechstunde: Di 10:00 - 11:00 und n. V.

Lehre

Sommersemester 2015

Wintersemester 2014/15

  • Vorlesung: Einführung in die Theorie und Numerik partieller Differentialgleichungen

Sommersemester 2014

Wintersemester 2013/14

Sommersemester 2013

  • Praktische Übung: Theorie und Numerik partieller Differentialgleichungen II [D. Kröner]

Wintersemester 2012/13

Sommersemester 2012

Wintersemester 2011/12

  • Proseminar: Mathematische Modellierung [D. Kröner]

 

Publikationen

  • M. Nolte: Efficient Numerical Approximation of the Effective Hamiltonian, Dissertation, Universtität Freiburg, 2011
  • A. Dedner, M. Nolte: Construction of Local Finite Element Spaces Using the Generic Reference Elements, Advances in DUNE, Springer, 2012
  • A. Dedner, R. Klöfkorn, M. Nolte, M. Ohlberger: DUNE-FEM. A General Purpose Discretization Toolbox for Parallel and Adaptive Scientific Computing, Advances in DUNE, Springer, 2012
  • R. Klöfkorn, M. Nolte: Performance Pitfalls in the DUNE Grid Interface, Advances in DUNE, Springer, 2012
  • M. Nolte: A Fast Sweeping Method for Computing the Effective Hamiltonian, Proceedings of the 13th International Conference on Hyberbolic Problems: Theory, Numerics, Applications, Beijing, 2010
  • A. Dedner, R. Klöfkorn, M. Nolte, M. Ohlberger: A Generic Interface for Parallel and Adaptive Scientific Computing: Abstraction Principles and the DUNE-FEM Module, Computing 90 (3-4), 165-196, 2010
  • M. Nolte:Computing the Effective Hamiltonian for a Time-Dependent Hamiltonian, Proceedings of the 12th International Conference on Hyperbolic Problems: Theory, Numerics, Applications, Maryland, 2008
  • M. Nolte, D. Kröner: Convergence of Well-Balanced Schemes for the Initial Boundary Value Problem for Scalar Conservation Laws in 1D, Proceedings of the 11th International Conference on Hyperbolic Problems: Theory, Numerics, Applications, Lions, 2006
  • M. Nolte: Ein balanciertes Verfahren zur numerischen Lösung von Anfangsrandwertproblemen für skalare Erhaltungsgleichungen mit Quellterm in 1D, Diplomarbeit, Universität Freiburg, 2005

 

Software

  • DUNE: A modular toolbox for solving partial differential equations with grid-based methods.
  • DUNE-FEM: A DUNE module defining abstract interfaces for the discretization of Finite Element Methods, Finite Volume Methods, and Discontinuous Galerkin Methods.
  • DUNE-SPGrid: A DUNE module providing a performant implementation of a structured, parallel grid through the DUNE grid interface.
  • DUNE-Ash: The interactive volcano simulation is a winning module of the competition for the open source MPE exhibition. It is based on DUNE-FEM and DUNE-SPGrid.