中文摘要：

本文对拟抛物方程构造两种分裂对称正定混合元方法．通过适当选取变分形式，格式分裂成两个独立对称正定子格式，并且方法不需要验证LBB条件．收敛性分析表明方法关于变量“和引进的变量口分别具有L2（Ω）和H（div Ω）范数意义下的最优收敛阶．最后，通过数值实验验证了方法的有效性．

英文摘要：

In this paper, we establish two novel mixed finite element procedures for pseudo-parabol- ic equations. The resulting schemes can be split into two independent symmetric positive definite sub-schemes and does not need to solve a coupled system of equations. Optimal error estimates are proved in the framework of L2 （Ω） theory for u and H（div Ω） theory for the unknown fluxa without requiring the LBB consistency condition. Finally some numerical results are presented.