A Quadrature Finite Element Method for Semilinear Second-Order Hyperbolic Problems*
نویسندگان
چکیده
In this workwe propose and analyze a fully discretemodifiedCrank–Nicolson finite element (CNFE)method with quadrature for solving semilinear second-order hyperbolic initial-boundary value problems. We prove optimal-order convergence in both time and space for the quadrature-modified CNFE scheme that does not require nonlinear algebraic solvers. Finally, we demonstrate numerically the order of convergence of our scheme for some test problems. © 2007Wiley Periodicals, Inc. NumerMethods Partial Differential Eq 24: 350–367, 2008
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