The Error Analysis Of Mixed Finite Elements Method For Two Order Elliptic Problems

A general two order elliptic eigenvalue problem is studied in the paper,I obtain the L~2 - norm and L~∞ — norm estimations for the corresponding eigenpairs.In my paper,first,I define operators T, T_h ,and get the abstract error estimations(these similar estimations can be seen in [1] [23])according to their property,then on the base of these estimations I obtain 1? — norm estimations for the eigenpairs;Second,I obtain the L~∞-norm estimations for the eigen-function with respect to the property of the regular Green functions in [25]; Last,I present some numerical results for one dimensal and two dimensal eigenvalue problems.