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Analytical and Numerical Homogenization (Summer Semester 2021)

Please register for the ILIAS course where we will provide all further information.

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

Schedule
Lecture: Monday 14:00-15:30 20.30 SR 3.61
Problem class: Tuesday 18:00-19:30
Lecturers
Lecturer, Problem classes Dr. Barbara Verfürth
Office hours: by appointment
Room 3.057 Kollegiengebäude Mathematik (20.30)
Email: barbara.verfuerth@kit.edu
Lecturer, Problem classes Dr. Fatima Z. Goffi
Office hours: By appointment
Room 3.037 Kollegiengebäude Mathematik (20.30)
Email: fatima.goffi@kit.edu
Problem classes Dr. Bernhard Maier
Office hours: by appointment
Room 3.005 Kollegiengebäude Mathematik (20.30)
Email: bernhard.maier@kit.edu