关键词: Stokes problem, stabilized format, mixed element format, error analysis

Abstract: The bending of a cantilever rectangular plate is a very complicated problem in the theory of plates. For a long time, there have been only approximate solutions for this problem by energy methods and numerical methods.since 1979. Prof. F. V. Chang of Tsing Hua University obtained, by the method of superposition, a series of analytic solutions for cantilever rectangular plates under uniform load and concentrated load.In this paper, the two-direction trigonometric series is used to obtain the solution for the bending of cantilever rectangular plates under uniform load. The obtained results are compared with the results by the method oj superposition. The comparison shows that the results of these two methods are in good agreement, hence they are mutually confirmed to be correct.

Key words: Stokes problem, stabilized format, mixed element format, error analysis