Space-time adaptation for purely diffusion problems in an anisotropic framework
Keywords
Advanced Numerical Methods for Scientific Computing
Code:
8/2008
Title:
Space-time adaptation for purely diffusion problems in an anisotropic framework
Date:
Friday 18th April 2008
Author(s):
Micheletti, Stefano; Perotto, Simona
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Abstract:
The main goal of this work is the proposal of an efficient space-time
adaptive procedure for a cGdG approximation of an unsteady diffusion
problem. We derive a suitable a posteriori error estimator where the contribution
of the spatial and of the temporal discretization is kept distinct.
In particular our interest is addressed to phenomena characterized by temporal
multiscale as well as strong spatial directionalities. On the one hand
this leads us to exploit the experience matured on handling anisotropic
grids, to enrich the analysis currently available in the literature. On the
other hand we devise a sound criterion to update the time step, able to
follow the evolution of the problem under investigation. The reliability and
the efficiency of the proposed error estimator are assessed numerically.