@Article{CSIAM-AM-2-776,
author = {Yingxia Xi ,  and Ji , Xia},
title = {A Holomorphic Operator Function Approach for the Laplace Eigenvalue Problem Using Discontinuous Galerkin Method},
journal = {CSIAM Transactions on Applied Mathematics},
year = {2021},
volume = {2},
number = {4},
pages = {776--792},
abstract = {<p style="text-align: justify;">The paper presents a holomorphic operator function approach for the Laplace
eigenvalue problem using the discontinuous Galerkin method. We rewrite the problem as the eigenvalue problem of a holomorphic Fredholm operator function of index
zero. The convergence for the discontinuous Galerkin method is proved by using the
abstract approximation theory for holomorphic operator functions. We employ the
spectral indicator method to compute the eigenvalues. Extensive numerical examples
are presented to validate the theory.</p>},
issn = {2708-0579},
doi = {https://doi.org/10.4208/csiam-am.SO-2021-0012},
url = {http://global-sci.org/intro/article_detail/csiam-am/19992.html}
}