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A fast numerical scheme for computing the responseof composites using grid refinement*

Published online by Cambridge University Press:  15 April 1999

D. J. Eyre  and
G. W. Milton
D. J. Eyre*
Affiliation:
Department of Mathematics, University of Utah, Salt Lake City UT 84112, USA
G. W. Milton
Affiliation:
Department of Mathematics, University of Utah, Salt Lake City UT 84112, USA
*
eyre@math.utah.edu
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Abstract

A numerical scheme is presented to compute the response of a composite material to an applied field. The scheme is based on an iteration that uses a Fourier transform based projection method to compute the response of a reference material to the applied field, and a contraction mapping to relate the response of the reference material to the response of the composite material. The scheme also utilizes nested uniform grids to improve performance, and to evaluate the refinement of the grid.

Keywords

Type
Research Article
Information
The European Physical Journal - Applied Physics , Volume 6 , Issue 1 , April 1999 , pp. 41 - 47
Copyright
© EDP Sciences, 1999

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Footnotes

*

This paper was presented at the PIERS 98 conference (Progress in Electromagnetics Research Symposium) held at Nantes (France), July 13-17, 1998.

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