Application of Newton's method to a homogenization problem

Kesavan, S. (1981) Application of Newton's method to a homogenization problem Proceedings of the Indian Academy of Sciences - Mathematical Sciences, 90 (3). pp. 229-238. ISSN 0253-4142

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Official URL: http://www.ias.ac.in/j_archive/mathsci/90/3/229-23...

Related URL: http://dx.doi.org/10.1007/BF02838078

Abstract

The homogenization of a family (Pε) of uniformly elliptic semilinear partial differential equations of second order is studied. The main result is that any non-singular solutionu of the homogenized problem (P) is the limit of non-singular solutions of (Pε). The method consists of specifying a functionw ε starting from which the Newton iterates converge to a solutionu uε of Pε. These solutions uε converge to the given solution u of (P).

Item Type:Article
Source:Copyright of this article belongs to Indian Academy of Sciences.
Keywords:Elliptic; Homogenization; Newton's Method; Semilinear
ID Code:16356
Deposited On:15 Nov 2010 13:48
Last Modified:17 May 2016 01:07

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