@Article{AAMM-16-3,
author = {Xiaoying, Dai and Yan, Pan and Yang, Bin and Zhou, Aihui},
title = {Convergence and Complexity of an Adaptive Planewave Method for Eigenvalue Computations},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2024},
volume = {16},
number = {3},
pages = {636--666},
abstract = {<p style="text-align: justify;">In this paper, we study the adaptive planewave discretization for a cluster
of eigenvalues of second-order elliptic partial differential equations. We first design
an a posteriori error estimator and prove both the upper and lower bounds. Based on
the a posteriori error estimator, we propose an adaptive planewave method. We then
prove that the adaptive planewave approximations have the linear convergence rate
and quasi-optimal complexity.</p>},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.OA-2023-0099},
url = {https://global-sci.com/article/90864/convergence-and-complexity-of-an-adaptive-planewave-method-for-eigenvalue-computations}
}