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Transport Properties of Doubly Periodic Arrays of Circular Cylinders and Optimal Design Problems

Transport Properties of Doubly Periodic Arrays of Circular Cylinders and Optimal Design Problems . We solve an R -linear problem for a multiple-connected circular domain in a class of doubly periodic functions in analytic form by a method of functional equations. This problem models transport properties of two-dimensional composite materials made from a collection of disks embedded in an otherwise uniform host. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Applied Mathematics & Optimization Springer Journals

Transport Properties of Doubly Periodic Arrays of Circular Cylinders and Optimal Design Problems

Applied Mathematics & Optimization , Volume 44 (1) – Jan 1, 2001

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References (20)

Publisher
Springer Journals
Copyright
Copyright © Springer-Verlag New York Inc. 2001
Subject
Mathematics; Calculus of Variations and Optimal Control; Optimization; Systems Theory, Control; Theoretical, Mathematical and Computational Physics; Mathematical Methods in Physics; Numerical and Computational Physics, Simulation
ISSN
0095-4616
eISSN
1432-0606
DOI
10.1007/s00245-001-0013-y
Publisher site
See Article on Publisher Site

Abstract

. We solve an R -linear problem for a multiple-connected circular domain in a class of doubly periodic functions in analytic form by a method of functional equations. This problem models transport properties of two-dimensional composite materials made from a collection of disks embedded in an otherwise uniform host.

Journal

Applied Mathematics & OptimizationSpringer Journals

Published: Jan 1, 2001

Keywords: Key words. Boundary value problem, Effective conductivity, Functional equation. AMS Classification. 30E25, 73V35.

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