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Zbl 1156.35315
Lukkassen, Dag; Meidell, Annette; Wall, Peter
On the conjugate of periodic piecewise harmonic functions.
(English)
[J] Netw. Heterog. Media 3, No. 3, 633-646 (2008). ISSN 1556-1801; ISSN 1556-181X/e

Summary: The paper considers the conjugate of periodic functions which are piecewise harmonic. In particular, we consider the harmonic conjugate of the solution of the problem of stationary heat conduction through a periodic network of fibres and matrix of arbitrary shape. A numerical example is also presented.
MSC 2000:
*35B27 Homogenization, etc.
35J60 Nonlinear elliptic equations

Keywords: homogenization; elliptic functions

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Highlights
Scientific prize winners of the ICM 2010
Overhang
Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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