WASET
	%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