Finite element approximations for a linear fourth-order parabolic SPDE in two and three space dimensions with additive space-time white noise
A linear fourth-order parabolic equation with space-time white noise is considered in 2 or 3 space dimensions. The equation is regularized by a discrete approximate form of the space-time noise, which brings in a modeling error, and then the Galerkin finite element method discretization in space and the backward Euler method discretization in time are used. The main results of this paper are some priori estimates of these two errors.
scientific article; zbMATH DE number 6155402