CAJ | 학술논문

提出一类二阶伪双曲型方程的新的分裂正定式混合有限元方法.给出了半离散和全离散格式误差估计及其格式的稳定性.与传统的混合元相比,所提出的格式有几个优点:首先所提出的格式能够分裂成两个独立的积分微分子格式并且不需要求解匹配方程组系统;其次不必满足LBB相容性条件.
제출일류이계위쌍곡형방정적신적분렬정정식혼합유한원방법.급출료반리산화전리산격식오차고계급기격식적은정성.여전통적혼합원상비,소제출적격식유궤개우점:수선소제출적격식능구분렬성량개독립적적분미분자격식병차불수요구해필배방정조계통;기차불필만족LBB상용성조건.
A new splitting positive definite mixed finite element method is proposed for a class of second-order pseudo-hyperbolic equations. Error estimates for both semidiscrete and fully discrete schemes and the stability of the proposed scheme are derived. Compared to standard mixed methods,the proposed method has several attractive features. First, the proposed procedure can be split into two independent symmetric positive definite integro-differential sub-schemes and does not need to solve a coupled system of equations. Moreover,it is not subject to the LBB consistency condition.