Module Handbook

  • Dynamischer Default-Fachbereich geändert auf MAT

Course MAT-81-20-K-7

PDE based Multiscale Problems and Numerical Approaches for their Solution (2V, 4.5 LP)

Course Type

SWS Type Course Form CP (Effort) Presence-Time / Self-Study
2 V Lecture 4.5 CP 28 h 107 h
(2V) 4.5 CP 28 h 107 h

Basedata

SWS 2V
CP, Effort 4.5 CP = 135 h
Position of the semester 1 Sem. irreg.
Level [7] Master (Advanced)
Language [EN] English
Lecturers
+ further Lecturers of the department Mathematics
Area of study [MAT-TEMA] Industrial Mathematics
Additional informations
Livecycle-State [NORM] Active

Contents

Introduction to PDE based multiscale problems and to approaches for their treatment. Special attention will be given to the following topics:
  • homogenisation of elliptic equations with oscillating coefficients,
  • classification of multiscale problems,
  • advanced numerical algorithms for PDEs and systems of PDEs with oscillating coefficients (including multiscale finite element method, multiscale finite volume method, heterogeneous multiscale method, subgrid approach),
  • numerical approaches for stochastic elliptic PDE.

Literature

The literature will be announced in the lecture.

Requirements for attendance (informal)

Knowledge from the module [MAT-81-11-M-7] is useful, but not necessarily required.

Modules:

Requirements for attendance (formal)

None

References to Course [MAT-81-20-K-7]

Module Name Context
[MAT-81-20-M-7] PDE based Multiscale Problems and Numerical Approaches for their Solution P: Obligatory 2V, 4.5 LP