Numerical Methods to Solve 2-D and 3-D Elliptic Partial Differential Equations Using Matlab on the Cluster maya

The hardware used in the computational studies is part of the UMBC High Performance Computing Facility (HPCF). The facility is supported by the U.S. National Science Foundation through the MRI program (grant nos. CNS–0821258 and CNS–1228778) and the SCREMS program (grant no. DMS–0821311), with additional substantial support from the University of Maryland, Baltimore County (UMBC). See www.umbc.edu/hpcf for more information on HPCF and the projects using its resources. This project began as the class project of the first author in Math 630 Numerical Linear Algebra in Spring 2014 at UMBC. It is a heavily modified version of that report [5], which considered the same test problem on a commodity laptop. The second author acknowledges financial support as HPCF RA.