A new method for numerical solution of checkerboard fields

We consider a generalized version of the standard checkerboard and discuss the difficulties of finding the corresponding field by standard numerical treatment. A new numerical method is presented which converges independently of the local conductivities

Generalized Chessboard Structures Whose Effective Conductivities Are Integer Valued

We consider generalized chessboard structures where the local conductivity takes two values and . All integer combinations of and 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

Generalized Chessboard Structures Whose Effective Conductivities Are Integer Valued

We consider generalized chessboard structures where the local conductivity takes two values � and �. All integer combinations of � and � 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

Livres offerts

Livres offerts. In: Comptes rendus des séances de l'Académie des Inscriptions et Belles-Lettres, 119ᵉ année, N. 3, 1975. pp. 397-400

On heat conduction in domains containing noncoaxial cylinders

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 heat flux are also discussed