@Article{IJNAM-5-1,
author = {},
title = {Invalidity of Decoupling a Biharmonic Equation to Two Poisson Equations on Non-Convex Polygons},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2008},
volume = {5},
number = {1},
pages = {73--76},
abstract = {<p style="text-align: justify;">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.</p>},
issn = {2617-8710},
doi = {https://doi.org/2008-IJNAM-798},
url = {https://global-sci.com/article/83691/invalidity-of-decoupling-a-biharmonic-equation-to-two-poisson-equations-on-non-convex-polygons}
}