WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 11, 2012
High Accuracy and Multiscale Multigrid Computation for Three Dimensional Biharmonic Equations
Author:
Abstract: The multiscale multigrid method is presented in this article to solve the linear systems arising from a fourth order discretisation. We used a symbolic algebra package Mathematica to derive a family of finite difference approximations on a 27 point compact stencil. The unknown solution and its second derivatives are carried as unknowns at selected grid points. A set of test problems are presented to demonstrate the efficiency and accuracy of the fourth order compact scheme.