Multiscale methods for elliptic problems



Lecture Fr, 14:15 - 15:45 Arnimallee 7, SR E.31
Tutorial Tue, 16:15 - 17:45 Arnimallee 6, SR 032
oral exam Tue, 21.02.2017

General Information


Multiple scales are ubiquitous in a plurality of processes and phenomena and therefore attract considerable attention both in mathematical and natural science research (see, e.g., here). In this lecture we will concentrate on elliptic problems with an highly oscillatory or random behavior due to corresponding coefficient functions. In particular, we will present new results on a class of variational multiscale methods based on subspace decomposition and adaptive multilevel Monte Carlo (MLMC) methods. If time permits, parabolic problems and stochastic pdes will be also addressed.

Target Audience

Students in the Master Course Mathematics or BMS (Phase I)


Basic knowledge on theory and numerics of elliptic pdes as taught, e.g. in the lecture "Numerik von partiellen Differentialgleichungen" (Numerik III)


Depending on your program of study, registration in the Campus Management is mandatory. In addition, all participants should register at the KVV.

Exercises and Criteria for a Certificate

Tutorial & Exercises


Criteria for the Certificate

Neccessary and sufficient for a certificate are:

Certificates are graded according to the result of the exam.




Prof. Dr. Ralf Kornhuber Arnimalle 6, Room 130
Secretary Frau Engel: Arnimallee 6, Room 131
Consultation-Hour: Thu, 11-12
email: kornhube{at}
Ana Djurdjevac Arnimalle 6, Room 120
Consultation-Hour: on appointment
email: adjurdjevac{at}