BMS Lecture:

Discontinuous Galerkin Finite Element Method,

Theory and Applications to Computational Fluid Dynamics

14.07 - 16.07.2009

Miloslav Feistauer

Faculty of Mathematics and Physics, Charles University in Prague


Institut für Mathematik
Rudower Chaussee 25 - Johann von Neumann - Haus
12489 Berlin


Tuesday, July 14, 15:15 - 17:45, room 3.007 (including break)
Wednesday, July 15, 09:15 - 10:45 room 3.007 (including break)
13:15 - 16:45 room 2.009 (including break)
Thursday, July 16, 14:15 - 16:45 room 2.009 (including break)

Language of the course: English


The discontinuous Galerkin finite element method (DGFEM) is a nonconforming finite element technique using piecewise polynomial approximations of a solution of initial-boundary value problems without any requirement on the continuity of approximate solutions on interfaces between neighbouring elements. This allows to derive in a natural way sufficiently accurate and robust numerical schemes for the numerical treatment of problems with solutions containing boundary and internal layers or discontinuities. From this point of view, the DGFEM is suitable for the solution of linear or nonlinear convection-diffusion problems with dominating convection and the solution of compressible flow, where shock waves, contact discontinuities and boundary layers have to be resolved.


Recommended literature

V. Dolejsi, M. Feistauer: Error estimates of the discontinuous Galerkin method for nonlinear nonstationary convection-diffusion problems. Numerical Functional Analysis and Optimization, 26 (2005), 349-383.

M. Feistauer, V. Kucera: On a robust discontinuous Galerkin technique for the solution of compressible flow. J. Comput. Phys. 224 (2007), 208-221.

M. Feistauer, J. Felcman, I. Straskraba: Mathematical and Computational Methods for Compressible Flow. Oxford University Press, Oxford, 2003, ISBN 0 19 850588 4

Previous knowledge expected

differential and integral calculus, Green's theorem, basic knowledge of numerical methods