Past Forthcoming Seminars

9 February 2004
Elena Zhizhina
A reveiw of results about spectral analysis of generators of some stochastic lattice models (a stochastic planar rotators model, a stochastic Blume-Capel model etc.) will be presented. Then I'll discuss new results by R.A. Minlos, Yu.G. Kondratiev and E.A. Zhizhina concerning spectral analysis of the generator of stochastic continuous particle system. The construction of one-particle subspaces of the generators and the spectral analysis of the generator restricted on these subspaces will be the focus of the talk.
  • Stochastic Analysis Seminar
5 February 2004
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.
  • Computational Mathematics and Applications Seminar