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.

翻译：在本文中,我们研究了一种适应性平流波方法,用于第二阶椭圆部分方程的多重等值。 在适应性有限要素分析技术的启发下,我们证明适应性平流波方法具有线性汇合率和最佳复杂度。