Národní úložiště šedé literatury Nalezeno 1 záznamů.  Hledání trvalo 0.00 vteřin. 
Homogenization in Perforated Domains
Rozehnalová, Petra ; Bock, Igor (oponent) ; Rohan, Eduard (oponent) ; Franců, Jan (vedoucí práce)
The numerical solving of mathematical models describing the mechanical behavior of materials with a fine structure (composite materials, finely perforated materials etc.) usually requires huge computational performance. Hence in numerical modeling the original material is replaced by an equivalent homogeneous one. In this work a two-scale convergence based on a periodical unfolding operator is used to find the homogenized material. The operator was for the first time used by J. Casado-Díaz. In this Ph.D. thesis, the operator is defined in a slightly different way which allows us to prove some of its new properties. The unfolding operator for functions defined on a perforated domain is defined analogically and its properties are proved. Finally, this operator is used to find the homogenized solution of a special family of problems with an integral boundary condition; some numerical results are presented.

Chcete být upozorněni, pokud se objeví nové záznamy odpovídající tomuto dotazu?
Přihlásit se k odběru RSS.