Finite difference method and algebraic polynomial interpolation for numerically solving Poisson's equation over arbitrary domains

The finite difference method (FDM) based on Cartesian coordinate systems can be applied to numerical analyses over any complex domain. A complex domain is usually taken to mean that the geometry of an immersed body in a fluid is complex; here, it means simply an analytical domain of arbitrary config...

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Bibliographic Details
Main Author: Tsugio Fukuchi
Format: Article
Language:English
Published: AIP Publishing LLC 2014-06-01
Series:AIP Advances
Online Access:http://dx.doi.org/10.1063/1.4885555