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Seminario / Wihler

SEMINARIO DI MATEMATICA APPLICATA

Martedi` 7 Febbraio 2017, ore 15:30 precise,
nell'Aula di Dottorato del Dipartimento di Matematica
Via Saldini 50, Milano

il Prof. Thomas Wihler
dell'Universitaet Bern

terra` un seminario dal titolo:

Variable-Order Discontinuous Galerkin Time Stepping for Parabolic
Evolution Problems


Sunto:

The discontinuous Galerkin (dG) time marching scheme has become a
popular method for the discretization of parabolic problems. In semi-
discrete form it is based on a temporal FE-type formulation (of
arbitrary order) that naturally inherits the structure of the
underlying evolution problem. In particular, this framework enables the
application of classical FE concepts including, for instance, the use
of local refinements (with respect to both the time step lengths as
well as the approximation orders), or the development of computable a
posteriori error estimates. In this talk we will present a new
technique that provides a discrete calculus for the dG time stepping
scheme. Furthermore, in combination with an elliptic reconstruction
technique, we will show how fully computable a posteriori $L^2(H^1)$-
and $C^0(L^2)$-type error bounds for a fully-discrete method consisting
of the dG time stepping scheme and a standard conforming FEM in space
for linear parabolic PDE can be derived.

03 febbraio 2017
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