@Article{NMTMA-6-657,
author = {Shuangbing Guo, Dingfang Li, Hui Feng and Xiliang Lu},
title = {Extremal Eigenvalues of the Sturm-Liouville Problems with Discontinuous Coefficients},
journal = {Numerical Mathematics: Theory, Methods and Applications},
year = {2013},
volume = {6},
number = {4},
pages = {657--684},
abstract = {<p style="text-align: justify;">In this paper, an extremal eigenvalue problem to the Sturm-Liouville equations with
discontinuous coefficients and volume constraint is investigated. Liouville
transformation is applied to change the problem into an equivalent minimization
problem. Finite element method is proposed and the convergence for the finite
element solution is established. A monotonic decreasing algorithm is presented
to solve the extremal eigenvalue problem. A global convergence for the algorithm
in the continuous case is proved. A few numerical results are given to depict the
efficiency of the method.</p>},
issn = {2079-7338},
doi = {https://doi.org/10.4208/nmtma.2013.1208nm},
url = {http://global-sci.org/intro/article_detail/nmtma/5924.html}
}