Extremal Eigenvalues of the Sturm-Liouville Problems with Discontinuous Coefficients  

作　　者：Shuangbing Guo Dingfang Li Hui Feng Xiliang Lu 

机构地区：[1]School of Mathematics and Statistics,Wuhan University,Wuhan 430072,Hubei,China

出　　处：《Numerical Mathematics(Theory,Methods and Applications)》2013年第4期657-684,共28页高等学校计算数学学报（英文版）

基　　金：supported by the National Natural Science Foundation of China(10971159,91130022,11101316).

摘　　要：In this paper,an extremal eigenvalue problem to the Sturm-Liouville equations with discontinuous coefficients and volume constraint is investigated.Liouville transformation is applied to change the problem into an equivalent minimization problem.Finite element method is proposed and the convergence for the finite element solution is established.A monotonic decreasing algorithm is presented to solve the extremal eigenvalue problem.A global convergence for the algorithm in the continuous case is proved.A few numerical results are given to depict the efficiency of the method.

关 键 词：Extremal eigenvalue problem Sturm-Liouville problem finite element method convergence analysis 

分 类 号：O17[理学—数学]