A C-Conforming Finite Element Method for Nonlinear Fourth-Order hyperbolic Equation
نویسندگان
چکیده
In this paper, the C-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. Keywords—Nonlinear fourth-order hyperbolic equation; Lyapunov functional; Existence, uniqueness and regularity; Conforming finite element method; Optimal error estimates.
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