Domain decomposition method for a parabolic variational inequality (Q2485621)

The authors extend direct decomposition method to solve a parabolic variational inequality. They construct a domain decomposition algorithm based on the Euler-Galerkin full discretization scheme of the parabolic variational inequality and prove that the algorithm is convergent and the convergence rate is independent of the space meshsize and the time stepsize, respectively. The paper is augmented with carefully described interpolating bases of the parabolic variational inequality.