The Multigrid Iteration Applied to the Collocation Method ; CU-CS-164-79

We describe an application of the multigrid iteration to the collocation approximation for elliptic equations. A block relaxation and a projection operator specific to the collocation approximation were required to obtain convergence. We illustrate the method with the two point boundary problem. Results are also given for an elliptic problem in two dimensions. Comments on computational efficiency are given along with operational counts