一类混合变分不等式有限元解的误差分析

Error Estimates for the Finite Element Approximation of a Class of Mixed Variational Inequalities

用一种新的方法对 Franco等在 1978年文中所提出的一类混合变分不等式进行了分析。首先用凸分析中的有关定理证明了连续问题的存在唯一性。然后提出了一种新的等价变分形式 ,用较为简洁 ,有效的方法 ,获得了与上文相同的有限元逼近结果。

In this paper,a new method is presented to analyze a class of variational inequalities arising in Franco etc,1978.Existence and uniqueness results of the continous problem are obtained through convex analysis method.Based upon an equivalent new variational inequalities,finite element approximation error bounds similar are derived.Comparing with the method in Franco etc,ours is simpler and more effective.