Comparison of preconditioning techniques for solving linear systems arising from the fourth order approximation of the three-dimensional elliptic equation
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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 Auxx + Buyy + Cuzz = f(x, y, z, u, ux, uy, uz), where A, B and C are constants. Numerical results are given to show the efficiency of the presented approach.
论文关键词：Fourth order techniques,Elliptic partial differential equations,Finite difference schemes,Block alternating group explicit method,ADI method,Krylov subspace methods
论文评审过程：Available online 22 August 2006.
论文官网地址：https://doi.org/10.1016/j.amc.2006.05.182
