A fast numerical scheme for computing the response of composites using grid refinement

Citation
Dj. Eyre et Gw. Milton, A fast numerical scheme for computing the response of composites using grid refinement, EPJ-APPL PH, 6(1), 1999, pp. 41-47
Citations number
27
Categorie Soggetti
Apllied Physucs/Condensed Matter/Materiales Science
Journal title
EUROPEAN PHYSICAL JOURNAL-APPLIED PHYSICS
ISSN journal
12860042 → ACNP
Volume
6
Issue
1
Year of publication
1999
Pages
41 - 47
Database
ISI
SICI code
1286-0042(199904)6:1<41:AFNSFC>2.0.ZU;2-O
Abstract
A numerical scheme is presented to compute the response of a composite mate rial to an applied field. The scheme is based on an iteration that uses a F ourier transform based projection method to compute the response of a refer ence material to the applied field, and a contraction mapping to relate the response of the reference material to the response of the composite materi al. The scheme also utilizes nested uniform grids to improve performance, a nd to evaluate the refinement of the grid.