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Analytical and Numerical Homogenization (Sommersemester 2021)

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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 (multiscale expansions, energy method, two-scale convergence) and numerical methods to approximate the homogenized as well as the multiscale solution.

Prerequisites: Basics on partial differential equations and numerics for differential equations

Vorlesung: Montag 14:00-15:30 20.30 SR 3.61
Übung: Dienstag 18:00-19:30
Dozentin, Übungsleiterin JProf. Dr. Barbara Verfürth
Sprechstunde: nach Vereinbarung
Zimmer Kollegiengebäude Mathematik (20.30)
Email: barbara.verfuerth@kit.edu
Dozentin, Übungsleiterin Dr. Fatima Z. Goffi
Sprechstunde: By appointment
Zimmer 3.037 Kollegiengebäude Mathematik (20.30)
Email: fatima.goffi@kit.edu
Übungsleiter Dr. Bernhard Maier
Sprechstunde: Nach Vereinbarung
Zimmer 3.00 Kollegiengebäude Mathematik (20.30)
Email: bernhard.maier@kit.edu