引入流函数的Burgers方程空间/时间有限元方法研究

Space/Time Method for Burgers Equation with Stream Function

本文在Burgers方程中引入流函数 ,然后结合稳定化思想 ,即在方程中添加最小二乘项以增强稳定性 ,提出了引入流函数的Burgers方程的空间 /时间有限元格式 ,我们对空间 /时间有限元方法进行了研究 ,并得出了相应的误差估计。

The author discussed the space/time finite element method of a class of one dimensional Burgers equation using a stabilization method, and gave a space/time finite element scheme corresponding these problems. With some supposition, the general error estimation is obtained.