Convergence And Numerical Analysis, Some Of The Narrow Rectangular Plate Elements

In this paper,we focus on the plate bending problem. A theorem about the anistropic interpolation is proved which is easier to be applied than Apel's. Based on the theorem, it is proved that the bicubic Hermite rectangular element and the ACM element have the anistropic interpolation property.It is a precondition in FEM that the subdivision of a region fi is of regularity. Using the analytic method of the anisotropic element,it is proved that the precondition is unnec-essary to the two finite element spaces- the bicubic Hermite rectangular element and the ACM element. Then the error estimates of the narrow bicubic Hermite rectangular element and the narrow ACM element for the plate bending problem is obtained.In the end of the paper, numerical results are given.