Leibnizgruppe ''Gekoppelte Strömungsprozesse in Energie- und Umweltforschung''

Seminar Numerische Mathematik / Numerical mathematics seminars
aktuelles Programm / current program

Donnerstag, 18. 3. 2010, 14:00 Uhr (ESH)

Prof. F. Schieweck   (Otto-von-Guericke Universität Magdeburg)
A stable discontinuous Galerkin--Petrov time discretization of higher order

Abstract:
We present a time discretization for evolution equations in a Hilbert space which is based on a discontinuous Galerkin-Petrov technique. The discrete solution space is constructed with continuous piecewise polynomial functions of degree k and the discrete test space with discontinuous polynomial functions of degree k-1. The method is A-stable and of optimal order k+1 in the maximum norm. Moreover, numerical experiments show that the method dGP(2), where k=2, is super-convergent of order 4 in the end points of the discrete time intervals. Applied to a gradient flow of an energy functional, the method guarantees that the discrete energy approximation decays monotonously for each time step.

Donnerstag, 4. 3. 2010, 15:00 Uhr (ESH)

D. Naumov   (Helmholtz-Zentrum Potsdam, Deutsches GeoForschungsZentrum)
Fluid flow in sandstones

Donnerstag, 4. 3. 2010, 14:00 Uhr (ESH)

Dr. G. Blöcher and Dr. M. Cacace   (Helmholtz-Zentrum Potsdam, Deutsches GeoForschungsZentrum)
Meshing and numerical solvers - Requirements for geosciences

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