The classical approach to dual methods for plates
I. Chudinovich · The Quarterly Journal of Mechanics and Applied Mathematics · 2000
Dirichlet, Neumann and mixed boundary-value problems are studied for thin elastic plates with transverse shear deformation on an elastic foundation. The aim is to construct dual problems that make it possible to obtain bilateral error estimates for approximate solutions. In the absence of an elastic foundation, the dual functionals are maximized in function spaces whose elements satisfy certain differential restrictions. The theory is illustrated by means of a numerical example.