广义神经传播方程一个新的H^1-Galerkin非协调混合有限元格式

A New H^1-Galerkin Nonconforming Mixed Finite Element Scheme of Generalized Nerve Conduction Equations

对广义神经传播方程提出了一个新的H1-Galerkin非协调混合有限元格式.其逼近空间不需满足LBB相容条件,并且在不采用Ritz投影的情况下,通过利用插值函数得到了与以往协调有限元方法相同的H1-模和L2-模的误差估计.

A new H1-Galerkin nonconforming mixed finite element scheme of generalized nerve conduction equations is proposed.The approximating spaces needn＇t satisfy LBB consistency condition.Moreover,without employing Ritz projection, the error estimates of H1-norm and L2-norm,which are the same as those of the conforming finite element methods in previously studies,are obtained by the interpolation functions.