Gudi, Thirupathi (2012) Finite Element Method For A Nonlocal Problem Of Kirchhoff Type. In: SIAM JOURNAL ON NUMERICAL ANALYSIS, 50 (2). pp. 657-668.
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Official URL: http://epubs.siam.org/toc/sjnaam/50/2
Abstract
The nonlocal term in the nonlinear equations of Kirchhoff type causes difficulties when the equation is solved numerically by using the Newton-Raphson method. This is because the Jacobian of the Newton-Raphson method is full. In this article, the finite element system is replaced by an equivalent system for which the Jacobian is sparse. We derive quasi-optimal error estimates for the finite element method and demonstrate the results with numerical experiments.
Item Type: | Journal Article |
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Publication: | SIAM JOURNAL ON NUMERICAL ANALYSIS |
Additional Information: | Copyright for this article belongs to Society for Industrial and Applied Mathematics |
Keywords: | finite element;nonlocal;elliptic;Kirchhoff equation |
Department/Centre: | Division of Physical & Mathematical Sciences > Mathematics |
Date Deposited: | 19 Jun 2012 11:20 |
Last Modified: | 19 Jun 2012 11:33 |
URI: | http://eprints.iisc.ac.in/id/eprint/44558 |
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