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    • An Optimal Design Problem for Two-dimensional Composite Materials. A Constructive Approach 

      Makaruk, Svetlana F.; Mityushev, Vladimir; Rogosin, Sergei V. (Cambridge Scientific Publishers Printed, 2006)
      We consider an optimal design problem, when it is necessary to locate circular inclusions of fixed size having a given conductivity in a material of fixed shape and a given conductivity in such a way that with prescribed concentration of the inclusions and prescribed external field the whole composite ...

      2022-02-14

    • Complex-analytic methods for the study of the effective conductivity of composite materials 

      Rogosin, Sergei; Dubatovskaya, Marina; Makaruk, Svetlana; Pesetskaya, Ekaterina (University of Aveiro, 2005)
      The effective conductivity of 2D composite materials is discussed on the base of the complex-analytic methods. Main attention is paid to the application of the methods of boundary value problems for harmonic and analytic functions and functional equations for composite materials having multiply ...

      2020-08-04