一类波动方程的全离散H^1-Galerkin混合有限元方法

Fully-discrete H^1-Galerkin mixed finite element method for a class of wave equations

研究一类二阶双曲型方程.通过引入空间和时间的一阶导数得到了混合Galerkin变分形式,进而导出方程的H1-Galerkin混合有限元方法的二层全离散格式,其中时间方向采用中心差商离散,得到了未知函数及流量的最优阶误差估计.

A class of second order hyperbolic equations is studied. The mixed Galerkin variation form is obtained by introducing the first derivatives of space and time, and then two-level fully-discrete scheme of H^1-Galerkin mixed finite element method for the equations is given. The time is discretized by center difference quotient, and the optimal error estimates of the unknown functions and the flows are obtained.