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

Abstract: 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 + Cu zz = f(x, y, z, u, u x , u y , u z ), where A, B and C are constants. Numerical results are given to show the efficiency of the presented approach. [Copyright &y& Elsevier]