High-order compact solvers for the three-dimensional poisson equation

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:187

Article

Sutmann, G ; Steffen, B

关键词: Poisson equation;    compact solvers;    iterative solvers;    Pade approximation;   

DOI  :  10.1016/j.cam.2005.03.041

来源: Elsevier

【 摘 要 】

New compact approximation schemes for the Laplace operator of fourth- and sixth-order are proposed. The schemes are based on a Pade approximation of the Taylor expansion for the discretized Laplace operator. The new schemes are compared with other finite difference approximations in several benchmark problems. It is found that the new schemes exhibit a very good performance and are highly accurate. Especially on large grids they outperform noncompact schemes. (c) 2005 Elsevier B.V. All rights reserved.

【 授权许可】

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