A numerical study on the expanded mixed finite element method for the BBM equation

作者：Li Na; Gao Fuzheng^*; Zhang Tiande

来源：Journal of Information and Computational Science, 2013, 10(2): 355-364.

• BBM equations
• Binary information
• Conservation law
• Finite element techniques
• Mixed finite element methods
• Numerical experiments
• Numerical investigations
• Numerical solution
• Test scenario

In this paper, we present an Expanded Mixed Finite Element Method (EMFEM) to solve the Benjaminbona- mahony (BBM) equation. The conservation laws properties of the BBM equation are emphasized and several test scenarios are designed for a numerical investigation on the accuracy, convergence, and robustness of the EMFEM. Our numerical experiments indicate that the EMFEM is a finite element technique that is easy to implement, and provides very accurate and robust numerical solutions, meanwhile preserves conservative property, for the BBM equation. 2013 Binary Information Press.

• 出版日期2013