【摘要】 本文讨论二维Burgers方程的一类非协调有限元近似,从理论上证明了此类方法具有最佳阶的收敛速度,并通过数值例子表明方法的有效性。更多还原

【Abstract】 This paper is devoted to a class of nonconforming finite element methods for solving two-dimensional Burgers’ equation, It is proved that these methods admit convergence estimate of optimal order for regular solutions and that under certain conditions there exist regular solutions to the Burgers’ equation. Finally, the efficiency of the linear nonconforming finite element method is tested by numerical experiments.更多还原