Convergence and Complexity of an Adaptive Planewave Method for Eigenvalue Computations Article Swipe

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Xiaoying Dai , Yan Pan , Bin Yang Bin Yang , Aihui Zhou ·

YOU? · · 2023 · Open Access · · DOI: https://doi.org/10.4208/aamm.oa-2023-0099

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.

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Metadata

Type: article
Language: en
Landing Page: https://doi.org/10.4208/aamm.oa-2023-0099
PDF: https://global-sci.org/intro/online/preview?online_id=2160&pdf=https://doc.global-sci.org/uploads/admin/article_pdf/20231222/2a25007c3addce3bf7811d7d2313c0f8.pdf
OA Status: bronze
References: 37
Related Works: 10
OpenAlex ID: https://openalex.org/W4390115864

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