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

被引：265

作者：

Eyre, DJ ^{[1
]}

Milton, GW ^{[1
]}

机构：

[1] Univ Utah, Dept Math, Salt Lake City, UT 84112 USA

来源：

EUROPEAN PHYSICAL JOURNAL-APPLIED PHYSICS | 1999年 / 6卷 / 01期

关键词：

D O I：

10.1051/epjap:1999150

中图分类号：

O59 [应用物理学];

学科分类号：

摘要：

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.

引用

页码：41 / 47

页数：7

共 27 条

[1] BULK EFFECTIVE DIELECTRIC-CONSTANT OF A COMPOSITE WITH A PERIODIC MICROGEOMETRY [J].

BERGMAN, DJ ;

DUNN, KJ .

PHYSICAL REVIEW B, 1992, 45 (23) :13262-13271

[2] THE EFFECTIVE CONDUCTIVITY OF RANDOM SUSPENSIONS OF SPHERICAL-PARTICLES [J].

BONNECAZE, RT ;

BRADY, JF .

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1991, 432 (1886) :445-465

[3]

Bruno O. P., 1991, Asymptotic Analysis, V4, P339

[4]

BRUNO OP, 1994, MATH COMPUT, V63, P195, DOI 10.1090/S0025-5718-1994-1240654-9

[5]

CHENG H, 1998, PREPRINT

[6] A method of images for the evaluation of electrostatic fields in systems of closely spaced conducting cylinders [J].

Cheng, HW ;

Greengard, L .

SIAM JOURNAL ON APPLIED MATHEMATICS, 1998, 58 (01) :122-141

[7]

de Boor C, A Practical Guide to Spline1978

[8] ITERATION METHOD IN THE THEORY OF NON-HOMOGENEOUS DIELECTRICS [J].

FOKIN, AG .

PHYSICA STATUS SOLIDI B-BASIC RESEARCH, 1982, 111 (01) :281-288

[9]

FU Y, 1998, PREPRINT

[10]

GRABOVSKY Y, 1998, UNPUB COMM PURE APPL

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