基于Lagrange乘子法的一种二阶椭圆问题混合元格式

A Mixed Method for Second-Oder Elliptic Problem Based on Lagrange Multiplier

本文利用 Lagrange乘子法的思想 ,修改了传统的混合变分形式 ,将二阶椭圆问题转化为与其等价的新的变分形式 ,并给出了针对该新形式进行离散求解的一种混合元格式 ,与现在已知格式相比 ,用较少的自由度获得了较高的逼近阶 .

Using the idea of Lagrange multiplier method, we convert the classic mixed variational form for second-order elliptic problem to an equivalnet one. Depending on the new form, a discret schem is constructed, which possesses not only less freedom but higher approximating order.