Abstract:

This paper deals with the convergence analysis for a kind of nonlinear pseudohyperbolic equations with semidiscretization
 by Adini’s finite element. Error estimates and result of superclose were obtained by  some novel approaches and techniques. Finally, the corresponding global superconvergence was got by taking  the technique of the postprocessing operator.

Key words: pseudohyperbolic equation, Adini’s finite element, error estimate, superclose, superconvergence