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 Research Report for 2002

Abteilung für Angewandte Mathematik

Hermann-Herder-Str. 10
79104 Freiburg i. Br.
Tel: 49-761-203-5629 Fax: 49-761-203-5632


Scientific Employees

  • Prof. Dr. G. Dziuk
  • Prof. Dr. D. Kröner
  • Prof. Dr. M. Růžička
  • Prof. Dr. R. Scholz
Entries in "Who is Who"

Main Research

  • Analysis partieller Differentialgleichungen und numerische Analysis
  • Gitteradaptionstechniken
  • Numerische Strömungssimulation
  • Parallelisierung
  • Phasenübergänge und Kristallwachstum
  • Strukturmechanik
  • Visualisierung

Financing

  • BMBF
  • DFG

Scientific and Research Projects


  • Adaptive Mehrskalenalgorithmen für konvektionsdominante Strömungen in homogenisierten Medien
    • Project Manager: Dr. M. Ohlberger
    • Start/End of project: 15.11.2002 until 14.11.2005
    • Project Details

Scientific publications

Journal Articles:
  • Bürkle, D., Ohlberger, M.: Adaptive finite volume methods for displacement problems in porous media. Comput . Visual. Sci., 2002; 5 (2): 95-106.
  • Dedner, A., Vollmöller, P.: An Adaptive Higher Order Method for Solving the Radiation Transport Equation on Unstructured Grids. J. Comput. Phys., 2002; 178: 263-289.
  • Demlow, A.: Suboptimal and optimal convergence in mixed finite element methods. SIAM J. Numer. Anal., 2002; 39 (6): 1938-1953.
  • Diehl, D., Rohde, C.: On the Structure of MHD Shock Waves in Diffusive-Dispersive Media. Preprint Fakultät für Mathematik und Physik, Universität Freiburg, 2002; 02-34.
  • Freistühler, H., Rohde, C.: Numerical Computation of Viscous Profiles for Hyperbolic Conservation Laws. Math. Comput., 2002; 71 (239): 1021-1042.
  • Karlsen, K., Ohlberger, M.: A note on the uniqueness of entropy solutions of nonlinear degenerate parabolic equations. J Math Anal Appl, 2002; 275 (1): 439-458.
  • LeFloch, P. G., Mercier, J. M., Rohde, C.: Fully Discrete Entropy Conservative Schemes of Arbitrary Order. SIAM J . Numer. Anal., 2002; 40 (5): 1968-1992.
  • Ohlberger, M., Rohde, C.: Adaptive finite volume approximations for weakly coupled convection dominated parabolic systems. IMA J. Numer. Anal., 2002; 22 (2): 253-280.
Book Chapters:
  • Dedner, A., Rohde, C.: FV Schemes for a Scalar Model Problem of Radiation Magnetohydrodynamics. In: R. Herbin, D. Köner (Hrsg.): Finite Volumes for Complex Applications III: Problems and Perspectives. Paris: Hermes Penton Science, 2002; 179-186.
  • Herbin, R., Ohlberger, M.: A posteriori error estimate for finite volume approximations of convection diffusion problems. In: R. Herbin, D. Kröner (Hrsg.): Finite volumes for complex applications III: Problems and perspectives. London: Hermes Penton Science, 2002; 753-760.

Special Scientific Activities

Scientific Dissertations