摘要
This paper proposes and analyzes a new weak Galerkin method for the eigenvalue problem by using the shifted-inverse power technique.A high order lower bound can be obtained at a relatively low cost via the proposed method.The error estimates for both eigenvalue and eigenfunction are provided and asymptotic lower bounds are shown as well under some conditions.Numerical examples are presented to validate the theoretical analysis.
基金
The work of Q.Zhai was partially supported by China Postdoc total Science Foundation(2018M640013,2019T120008)
The work of X.Hu was partially supported by NSF grant(DMS-1620063)
The work of R.Zhang was supported in part by China Natural National Science Foundation(91630201,11871245,11771179)
by the Program for Cheung Kong Scholars of Ministry of Education of China,Key Laboratory of Symbolic Computation and Knowledge Engineering of Ministry of Education,Jilin University,Changchun,130012,P.R.China.
