@Article{NMTMA-14-4,
author = {Yingxia, Xi and Xia, Ji and Zhang, Shuo},
title = {Order Reduced Schemes for the Fourth Order Eigenvalue Problems on Multi-Connected Planar Domains},
journal = {Numerical Mathematics: Theory, Methods and Applications},
year = {2021},
volume = {14},
number = {4},
pages = {920--944},
abstract = {<p style="text-align: justify;">In this paper, we study the order reduced finite element method for the
fourth order eigenvalue problems on multi-connected planar domains. Particularly,
we take the biharmonic and the Helmholtz transmission eigenvalue problems as
model problems, present for each an equivalent order reduced formulation and
a corresponding stable discretization scheme, and present rigorous theoretical analysis. The schemes are readily fit for multilevel correction algorithms with optimal
computational costs. Numerical experiments are given for verifications.</p>},
issn = {2079-7338},
doi = {https://doi.org/10.4208/nmtma.OA-2021-0046},
url = {https://global-sci.com/article/90325/order-reduced-schemes-for-the-fourth-order-eigenvalue-problems-on-multi-connected-planar-domains}
}