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Grade: 11


Pls Can anyone explain the concept of homogenization of straight lines (as soon as possible ).

9 years ago

Answers : (1)

879 Points

Dear student,

athematical homogenization theory dates back to the French, Russian and Italian schools. The method of asymptotic homogenization proceeds by introducing the fast variable ξ = x / ε and posing a formal expansion in ε:

u(x) = u(x,\xi) = u_0(x,\xi)+\epsilon u_1(x,\xi)+\epsilon^2 u_2(x,\xi)+O(\epsilon^3)\,

which generates a hierarchy of problems. The homogenized equation is obtained and the effective coefficients are determined by solving the so-called "cell problems" for the function u1(x,x / ε).


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Askiitians Expert

Sagar Singh

B.Tech, IIT Delhi

9 years ago
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