Convergence and Optimal Complexity of the Adaptive Planewave Method for Eigenvalue Computations

06/02/2021

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by   Xiaoying Dai, et al.

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In this paper, we study an adaptive planewave method for multiple eigenvalues of second-order elliptic partial equations. Inspired by the technique for the adaptive finite element analysis, we prove that the adaptive planewave method has the linear convergence rate and optimal complexity.