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Lecture WS 22/23 Advanced Topics in Scientific Computing

Analytical and Numerical Homogenization

Prof. Barbara Verfürth
Tuesdays 8-10 and Wednesdays 12-14 in room 2.035 in FHA7 (INS building)

On Tuesdays, the lecture starts at 8.30.

The lecture deals with analytical and numerical homogenization for multiscale problems, which will be illustrated for elliptic diffusion problems. Multiscale problems are partial differential equations where the coefficients vary rapidly on small spatial scales. Such problems arise in various applications in science and engineering, where materials with fine structures of different components play an important role. Analytical and numerical homogenization provide tools to describe and simulate the so-called macroscopic behavior of the materials. Contents include classical analytical homogenization theory (asymptotic expansions, two-scale convergence) and in particular numerical methods to approximate the homogenized as well as the multiscale solution.

Further information and course material will be provided in the eCampus course.

The eCampus course is finally available under this link.