%0 Journal Article %A Yang Liu and Hong Li and Siriguleng He and Wei Gao and Zhichao Fang %D 2011 %J International Journal of Mathematical and Computational Sciences %B World Academy of Science, Engineering and Technology %I Open Science Index 56, 2011 %T A C1-Conforming Finite Element Method for Nonlinear Fourth-Order Hyperbolic Equation %U https://publications.waset.org/pdf/912 %V 56 %X In this paper, the C1-conforming finite element method is analyzed for a class of nonlinear fourth-order hyperbolic partial differential equation. Some a priori bounds are derived using Lyapunov functional, and existence, uniqueness and regularity for the weak solutions are proved. Optimal error estimates are derived for both semidiscrete and fully discrete schemes. %P 1429 - 1433