期刊论文

Wang, Qisheng

英文

Computers & Mathematics with Applications

0898-1221

2019

78

8

2560-2574

10.1016/j.camwa.2019.03.061

National Natural Science Foundation of ChinaNational Natural Science Foundation of China (NSFC) [11671157]; Natural Science Foundation of Guangdong Province, ChinaNational Natural Science Foundation of Guangdong Province [2015A030313643, 2016A030313005]; Postgraduate Demonstration Course Construction Project of Guangdong Province [2018SFKC38]; Postgraduate Demonstration Course Construction Project of Wuyi University, China [YJS-SFKC-18-01]

本校为第一机构

In this paper, an expanded mixed finite element method is developed to approximate the solution of second order hyperbolic equations. We discuss and theoretically prove the existence and uniqueness of solution for the semidiscrete formulation, and obtain the optimal order error estimates in the L-infinity(L-2) norm. In addition, we also construct the fully discrete approximations and provide the corresponding error analysis. Some numerical examples are presented to demonstrate the theor...