The adaptive finite element method based on multi-scale discretizations for eigenvalue problems

被引：15

作者：

Li, Hao ^{[1
]}

Yang, Yidu ^{[1
]}

机构：

[1] Guizhou Normal Univ, Sch Math & Comp Sci, Guiyang 550001, Peoples R China

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2013年 / 65卷 / 07期

基金：

中国国家自然科学基金;

关键词：

Eigenvalue; Finite element; Multi-scale discretizations; A posterior error; Adaptive algorithms; APPROXIMATIONS; CONVERGENCE; COMPUTATION; ALGORITHMS; COMPLEXITY;

D O I：

10.1016/j.camwa.2013.01.043

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, adaptive finite element methods for differential operator eigenvalue problems are discussed. For multi-scale discretization schemes based on Rayleigh quotient iteration (see Scheme 3 in [Y. Yang, H. Bi, A two-grid discretization scheme based on shifted-inverse power method, SIAM J. Numer. Anal. 49 (2011) 1602-1624]), a reliable and efficient a posteriori error indicator is given, in addition, a new adaptive algorithm based on the multi-scale discretizations is proposed, and we apply the algorithm to the Schrodinger equation for hydrogen atoms. The algorithm is performed under the package of Chen, and satisfactory numerical results are obtained. (C) 2013 Elsevier Ltd. All rights reserved.

引用

页码：1086 / 1102

页数：17

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