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 Research Report for 2000

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 publications

Journal Articles:
  • Bänsch E, Schmidt A: Simulation of dendritic crystal growth with thermal convection Interfaces and Free Boundaries, 2000; 2: 95-115.
  • Deckelnick K, Siebert K: W^{1,\infty}-convergence of the discrete free boundary for obstacle problems. IMA J. Numer. Anal., 2000; 20: 481-498.
  • Dörfler W., Wilderotter O.: An adaptive finite element method for a linear elliptic equation with variable coefficients. ZAMM, 2000; 80 (7): 481-491.
  • Morin P, Nochetto R H, Siebert K: Data Oscillation and Convergence of Adaptive FEM. SIAM J. Numer. Anal., 2000; 38 (2): 466-488.
  • Nochetto, R. H., Schmidt, A., Verdi, C.: A posteriori error estimation and adaptivity for degenerate parabolic problems. Math. Comp., 2000; 69 (229): 1-24.
  • Schmidt A, Nochetto H R, Chen Z: Error Control and Adaptivity for a Phase Relaxation Model Mathematical Modelling and Numerical Analysis (M2AN), 2000; 34: 775-797.
  • Schmidt A, Nochetto R H, Verdi C: A posteriori error estimation and adaptivity for degenerate parabolic problems Math. Comput., 2000; 69: 1-24.
  • Siebert K, Schmidt A: A posteriori estimators for the h-p version of the finite element method in 1d Applied Numerical Mathematics, 2000; 35: 43-66.
Book Chapters:
  • Schmidt A, Boschert St, Siebert K: Numerical Simulation of Crystal Growth by the Vertical Bridgman Method In: Szmyd J S, Suzuki K (Hrsg.): Modelling of Transport Phenomena in Crystal Growth, Development in Heat Transfer Series, Vol. 6 WIT Press, 2000; 61-96.

Special Scientific Activities

Scientific Dissertations