Convergence and optimal complexity of adaptive finite element eigenvalue computations
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- Dai, X., Xu, J. & Zhou, A. Numer. Math. (2008) 110: 313. doi:10.1007/s00211-008-0169-3
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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.