Analytical and Numerical Homogenization (Summer Semester 2021)
- Lecturer: JProf. Dr. Barbara Verfürth, Dr. Fatima Z. Goffi
- Classes: Lecture (0165700), Problem class (0165710)
- Weekly hours: 3+1
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 | ||
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Lecture: | Monday 14:00-15:30 | 20.30 SR 3.61 |
Problem class: | Tuesday 18:00-19:30 |
Lecturers | ||
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Lecturer, Problem classes | JProf. Dr. Barbara Verfürth | |
Office hours: by appointment | ||
Room 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 3.00 Kollegiengebäude Mathematik (20.30) | ||
Email: bernhard.maier@kit.edu |