CONVERGENCE OF ADAPTIVE FINITE ELEMENT METHODS FOR EIGENVALUE PROBLEMS

被引：45
|
作者：
Garau, Eduardo M. [1 ]
Morin, Pedro
Zuppa, Carlos [2 ]
机构：
[1] Consejo Nacl Invest Cient & Tecn, Buenos Aires, DF, Argentina
[2] Univ Nacl San Luis, Fac Ciencias Fis Matemat & Nat, Dept Matemat, RA-5700 San Luis, Argentina
来源：
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES | 2009年 / 19卷 / 05期
关键词：
Eigenvalue problems; adaptivity; finite elements; convergence; ELLIPTIC-EQUATIONS; A-POSTERIORI; BOUNDARY-CONDITIONS; APPROXIMATION; COEFFICIENTS;
D O I：
10.1142/S0218202509003590
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we prove convergence of adaptive finite element methods for second-order elliptic eigenvalue problems. We consider Lagrange finite elements of any degree and prove convergence for simple as well as multiple eigenvalues under a minimal refinement of marked elements, for all reasonable marking strategies, and starting from any initial triangulation.
引用
收藏
页码：721 / 747
页数：27
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