Seminar series
Date
Thu, 05 Feb 2004
Time
14:00 -
15:00
Location
Comlab
Speaker
Prof Marco Picasso
Organisation
Ecole Polytechnique Federale de Lausanne
Following the framework of Formaggia and Perotto (Numer.
Math. 2001 and 2003), anisotropic a posteriori error estimates have been
proposed for various elliptic and parabolic problems. The error in the
energy norm is bounded above by an error indicator involving the matrix
of the error gradient, the constant being independent of the mesh aspect
ratio. The matrix of the error gradient is approached using
Zienkiewicz-Zhu error estimator. Numerical experiments show that the
error indicator is sharp. An adaptive finite element algorithm which
aims at producing successive triangulations with high aspect ratio is
proposed. Numerical results will be presented on various problems such
as diffusion-convection, Stokes problem, dendritic growth.