Comparison of preconditioning techniques for solving linear systems arising from the fourth order approximation of the three-dimensional elliptic equation

摘要

In this article, we introduce a suitable preconditioner for the class of fourth order approximations employed for solving the elliptic partial differential equations Au-xx + Bu-yy + CUzz = f(x, y, z, u, ux, u(y), u(2),), where A, B and C are constants. Numerical results are given to show the efficiency of the presented approach. (C) 2006 Elsevier Inc. All rights reserved.