Finite element approximation of parabolic stochastic PDEs

Stig Larsson
Department of Mathematical Sciences
Chalmers University of Technology
Göteborg


Abstract:

We consider a linear parabolic stochastic differential equation in several spatial variables forced by additive colored space-time noise. The equations are discretized in the spatial variable by a finite element method. In order to capture the multiscale behavior of the colored noise we use a hierarchical wavelet basis for the finite element space. We prove strong and weak convergence estimates. This is joint work with Mihaly Kovacs.