Author： Dai Xiaoying
Publisher： Springer Publishing Company
ISSN： 0029-599X
Source： Numerische Mathematik, Vol.110, Iss.3, 2008-09, pp. : 313-355
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Abstract
In this paper, an adaptive finite element method for elliptic eigenvalue problems is studied. Both uniform convergence and optimal complexity of the adaptive finite element eigenvalue approximation are proved. The analysis is based on a certain relationship between the finite element eigenvalue approximation and the associated finite element boundary value approximation which is also established in the paper.
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