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
![]()
|
PDF
- Publisher Version
1MB |
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 |
Repository Staff Only: item control page