Year: 2008
International Journal of Numerical Analysis and Modeling, Vol. 5 (2008), Iss. 1 : pp. 73–76
Abstract
We clarify the validity of a method that decouples a boundary value problem of biharmonic equation to two Poisson equations on polygonal domains. The method provides a way of computing deflections of simply supported polygonal plates by using Poisson solvers. We show that such decoupling is not valid if the polygonal domain is not convex. It may fail even when the right hand side function is infinitely smooth and supported away from the reentrant corners.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2008-IJNAM-798
International Journal of Numerical Analysis and Modeling, Vol. 5 (2008), Iss. 1 : pp. 73–76
Published online: 2008-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 4
Keywords: simply supported plate biharmonic Poisson decoupling.