A quadrature finite element method for semilinear second-order hyperbolic problems

作者：Mustapha K^*; Mustapha H

来源：Numerical Methods for Partial Differential Equations, 2008, 24(2): 350-367.

DOI：10.1002/num.20262

• Crank-Nicolson
• finite element method
• hyperbolic problems
• quadrature

In this work we propose and analyze a fully discrete modified Crank-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.

• 出版日期2008-3
• 单位中国石油大学（北京）