The Numerical Analysis and Simulation of a Linearized Crank-Nicolson H¹-GMFEM for Nonlinear Coupled BBM Equations

Abstract:

In this article, the numerical scheme of a linearized Crank-Nicolson (C-N) method based on H¹-Galerkin mixed finite element method (H¹-GMFEM) is studied and analyzed for nonlinear coupled BBM equations. In this method, the spatial direction is approximated by an H¹-GMFEM and the time direction is discretized by a linearized Crank-Nicolson method. Some optimal a priori error results are derived for four important variables. For conforming the theoretical analysis, a numerical test is presented.

• Periodical: Applied Mechanics and Materials (Volumes 513-517)
• Pages: 1919-1926
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.513-517.1919
• Online since: February 2014
• Authors: Min Zhang*, Zu Deng Yu, Yang Liu, Hong Li
• Keywords: H¹-Galerkin Mixed Finite Element Method, Linearized Crank-Nicolson, Nonlinear Coupled BBM Equations, Numerical Test, Optimal Error Estimates

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