A note on the residual type a posteriori error estimates for finite element eigenpairs of nonsymmetric elliptic eigenvalue problems

作者：Yang, Yidu^*; Sun, Lingling; Bi, Hai; Li, Hao

来源：Applied Numerical Mathematics, 2014, 82: 51-67.

DOI：10.1016/j.apnum.2014.02.015

• Nonsymmetric eigenvalue problems
• Finite elements
• A posteriori error estimates

In this paper we study the residual type a posteriori error estimates for general elliptic (not necessarily symmetric) eigenvalue problems. We present estimates for approximations of semisimple eigenvalues and associated eigenvectors. In particular, we obtain the following new results: 1) An error representation formula which we use to reduce the analysis of the eigenvalue problem to the analysis of the associated source problem; 2) A local lower bound for the error of an approximate finite element eigenfunction in a neighborhood of a given mesh element T.

• 出版日期2014-8
• 单位贵州师范大学