Numerik IV

Numerik IV for Winter Term 2015/2016

• The new website for 2015/2016 can be found here

News and Important Remarks

• Attention: There will not be a lecture on Oktober 30, 2014.

Dates

General Information

Description

• Classical and stochastic homogenisation of elliptic pdes (periodically oscillating coefficients)
• Multiscale finite elements, Ritz-Galerkin methods for stochastic elliptic pdes (polynomial chaos)
• Heterogeneous multiscale methods

Target audience:

This lecture is a continuation of the preceding course on "Numerical methods for partial differential equations (Numerik III)". It is intended to broaden the way towards a master thesis in the field of computational PDEs.

Prerequisites:

Participants should have some knowledge about PDEs and their numerical approximation by finite elements as provided, e.g., by the preceding course on "Numerical methods for partial differential equations (Numerik III)".

Registration

All participants should register at the KVV, so that we know who is participating. The overall number of participants is also necessary to justify the equipment of the course. In addition, depending on your program of study, you have to register in the Campus Management.

Exercises and Criteria for a Certificate

Tutorial & Exercises

• The tutorial offers the possibility to discuss and better understand the presented material and exercises. Furthermore solutions of exercises are presented by the students.
• A sheet with exercises will be handed out each Thursday during the lecture.
• The exercises are intended to be solved by teams of three members.
• The exercises consist of theoretical and numerical problems. The latter should be solved using Matlab (available at the students computer pool at the institute). Both types of exercises are rated seperately.
• The solutions have to be finished before the tutorial two weeks after they were handed out.
• The solutions of the numerical problems should be delivered by email to adjurdjevac{at}math.fu-berlin.de. Note that a complete solution for a numerical experiment consists of a running Matlab code, a program executing the required test runs, and protocols of the execution of these test runs. Delivering a correct and running code without knowing what is going on in the code will be regarded and rated as attempt of deception.
• The solutions of the theoretical problems have to be presented in the tutorial on request (without regard to preference and presence) by a member of a given group.

Oral Exam

• There will be an oral exam on Monday, February 16, 2015.
• Students who fail in the oral exam have a second chance.

Criteria for the Certificate

Neccessary and sufficient for a certificate are:

• oral exam
• active participation: at least as much success as failure in the presentation of the solution of theoretical problems and 50% of the maximal number of points for numerical problems
• constant participation: 85% attendence in the tutorial (not checked)

Certificates are graded according to the result of the oral exam.

Accompanying Material

Lecture Notes:

The lecture notes on "Numerical methods for partial differential equations (Numerik III)" are available here, in german only.

Contact