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中文摘要：
1 引言 众所周知，最小二乘混合有限元方法具有两个显著的优点：一是不必满足经典混合元要求LBB条件，因此一般的有限元空间可供选择；二是算法系统是对称正定的，从而利于问题的求解．Pehlivanov等[1]提出了一种最小二乘混合有限元算法求解椭圆型边值问题，并给出了H’×H（div，．）模误差估计．之后，Cai等人[213]把此方法推广应用到带有对流和反应项的二阶偏微分方程．
英文摘要：
Abstract material derivative term. The result- ing least-squares procedure can be split into two independent symmetric positive definite sub-schemes and does not need to solve a coupled system of equations.Theoretical analysis shows that the method yields the approximate solutions with optimal accuracy in L2（Ω） norm for the primal unknown and in H（div; Ω） norm for the unknown flux, respectively.
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A characteristic finite element method for constrained convection-diffusion-reaction optimal control
Two splitting positive definite mixed finite element methods for parabolic integro-differential equa
A split least-squares characteristic mixed element method for nonlinear nonstationary convection-dif
A combined mixed finite element method and local discontinuous Galerkin method for miscible displace
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