Invalidity of Decoupling a Biharmonic Equation to Two Poisson Equations on Non-convex Polygons
نویسندگان
چکیده
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
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