Mittagsseminar (in cooperation with J. Lengler, A. Steger, and D. Steurer)

Date and Time: Thursday, January 18, 2007, 12:15 pm

Duration: This information is not available in the database

Location: OAT S15/S16/S17

Speaker: Tobias Christ

An Introduction to Homogenization Theory

The homogenization theory has been invented to study the behavior of composite materials, i.e. materials that contain two or more finely mixed components. The physical parameters of such a material oscillates very rapidly between the physical parameters of its components, thus numerical calculations become tedious or even impossible. But if the components are mixed finely enough, these materials may look homogeneous from a macroscopic point of view. Now the microscopically heterogeneous material is replaced by homogeneous fictious one, whose global characteristics are a good approximation of the initial ones. Mathematically this means the following: We are considering the solutions of a boundary value problem depending on a small parameter epsilon and try to give the (hopefully easier) boundary value problem that is solved by the limit of the initial solutions as epsilon goes to zero.

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