Week 5 (Nov 6)

Long Chen. Uniform Convergence of Multigrid Methods on Adaptive Grids obtained by Newest Vertex Bisection

ABSTRACT: We shall prove multigrid method for solving Poisson equation on adapted grids obtained by newest vertex bisection will converges uniformly with respect to the size of unknowns. Furthermore we shall show the computational cost is also optimal. This is a generalization of the result in \cite{Wu.H;Chen.Z2003} to higher dimensions with a simplified and more straightforward proof.