On the estimate of deviations from the exact solution of the Reissner–Mindlin plate problem

In this paper, a majorant of the difference between the exact solution and any conforming approximate solution of the Reissner–Mindlin plate problem is derived. This majorant is explicitly computable and involves constants that depend only on given data of the problem. It provides the ability to compute guaranteed upper bounds of errors with any desired accuracy and vanishes if and only if an approximate solution coincides with the exact one.