电报方程H~1-Galerkin非协调混合有限元分析

主要研究一类电报方程的H~1-Galerkin非协调混合有限元方法,在任意四边形网格剖分下,其逼近空间分别取为类Wilson元与双线性Q_1元,在不需要满足LBB相容性条件及不采用传统的Ritz投影的情况下,得到了与常规有限元方法相同的L~2-模和H~1-模的误差估计,进一步拓展了H~1-Galerkin混合有限元和类Wilson元的应用范围.

H1-Galerkin Nonconforming Mixed Finite Element Analysis of Telegraph Equations

In this paper,an H~1-Galerkin nonconforming mixed finite element method telegraph equations is studied on arbitrary quadrilateral meshes,the approximating spaces axe selected as Quasi-Wilson element and bilinear Q_1 element,respectively.Without requiring the LBB consistency condition and traditional Ritz projection,the same error estimates of L~2-norm and H~1-norm as those of the tconventional finite element methods axe obtained. Thus the applications of H~1-Galerkin mixed finite element method and Quasi-Wilson element axe extended.