Year: 2013
Numerical Mathematics: Theory, Methods and Applications, Vol. 6 (2013), Iss. 4 : pp. 657–684
Abstract
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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/nmtma.2013.1208nm
Numerical Mathematics: Theory, Methods and Applications, Vol. 6 (2013), Iss. 4 : pp. 657–684
Published online: 2013-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 28
Keywords: Extremal eigenvalue problem Sturm-Liouville problem finite element method convergence analysis.
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Finite element approximation to the extremal eigenvalue problem for inhomogenous materials
Liang, Kewei
Lu, Xiliang
Yang, Jerry Zhijian
Numerische Mathematik, Vol. 130 (2015), Iss. 4 P.741
https://doi.org/10.1007/s00211-014-0678-1 [Citations: 2]