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On heat conduction in domains containing noncoaxial cylinders
(Journal article; Peer reviewed; Tidsskriftartikkel, 2012)
We consider heat conduction in domains containing noncoaxial cylinders. In particular, we present some regularity results for the solution and consider criteria which ensure the single valueness of the corresponding complex potential. Examples are discussed. In addition, we present some classes of cases where the parameters describing the solution are rational. Alternative ways of calculating the ...
Generalized Chessboard Structures Whose Effective Conductivities Are Integer Valued
(Journal article; Tidsskriftartikkel; Peer reviewed, 2012-03-06)
We consider generalized chessboard structures where the local conductivity takes two values
𝑎
and
𝑏
. All integer combinations of
𝑎
and
𝑏
which make the components of effective conductivity matrix integer valued are found. Moreover, we discuss the problem of estimating the effective conductivity matrix by using the finite-element method.