TY - JOUR
T1 - Space-Time Adaptation for Purely Diffusive Problems in an Anisotropic Framework
AU - S. Micheletti & S. Perotto
JO - International Journal of Numerical Analysis and Modeling
VL - 1
SP - 125
EP - 155
PY - 2010
DA - 2010/07
SN - 7
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/713.html
KW - Space-time adaptation, anisotropic meshes, heat equation, space-time finite elements.
AB - <p style="text-align: justify;">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 we devise a sound
criterion to update the time step, able to follow the evolution of the problem
under investigation. On the other hand we exploit an anisotropic triangular
adapted grid. The reliability and the efficiency of the proposed error estimator
are assessed numerically.</p>