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A high-order compact formulation for the 3D Poisson equation

✍ Scribed by W. F. Spotz; G. F. Carey

Publisher: John Wiley and Sons
Year: 1996
Tongue: English
Weight: 354 KB
Volume: 12
Category: Article
ISSN: 0749-159X
DOI: 10.1002/(sici)1098-2426(199603)12:2<235::aid-num6>3.0.co;2-r

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✦ Synopsis

In this work we construct an extension to a class of higher-order compact methods for the threedimensional Poisson equation. A superconvergent nodal rate of O( ) is predicted, or O(h4) if the forcing function derivatives are not known exactly. Numerical experiments are conducted to verify these theoretical rates.

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