On the conjugate of periodic piecewise harmonic functions

2008, Volume 3, Issue 3: 633-646. doi: 10.3934/nhm.2008.3.633

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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.
- homogenization,
- elliptic functions
Citation: Dag Lukkassen, Annette Meidell, Peter Wall. On the conjugate of periodic piecewise harmonic functions[J]. Networks and Heterogeneous Media, 2008, 3(3): 633-646. doi: 10.3934/nhm.2008.3.633

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Abstract

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.
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