On the conjugate of periodic piecewise harmonic functions

Pages: 633 - 646, Volume 3, Issue 3, September 2008

doi:10.3934/nhm.2008.3.633       Abstract        Full Text (259.2K)       Related Articles

Dag Lukkassen - Narvik University College, and Norut Narvik, P.O.B. 385 N-8505 Narvik, Norway (email)
Annette Meidell - Narvik University College, P.O.B. 385 N-8505 Narvik, Norway (email)
Peter Wall - Department of Mathematics, Luleå University, SE-97187 Luleå, Sweden (email)

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.

Keywords:  homogenization, elliptic functions
Mathematics Subject Classification:  35B27, 35J60, 73B27.

Received: March 2007;      Published: June 2008.