Universität Wien

250067 VO Continuum mechanics with applications to image processing (2019S)

5.00 ECTS (3.00 SWS), SPL 25 - Mathematik

Registration/Deregistration

Note: The time of your registration within the registration period has no effect on the allocation of places (no first come, first served).

Details

Language: English

Examination dates

Lecturers

Classes (iCal) - next class is marked with N

Wednesday 06.03. 13:15 - 15:45 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
Wednesday 13.03. 13:15 - 15:45 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
Wednesday 20.03. 13:15 - 15:45 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
Wednesday 27.03. 13:15 - 15:45 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
Wednesday 03.04. 13:15 - 15:45 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
Wednesday 10.04. 13:15 - 15:45 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
Wednesday 08.05. 13:15 - 15:45 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
Wednesday 15.05. 13:15 - 15:45 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
Wednesday 22.05. 13:15 - 15:45 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
Wednesday 29.05. 13:15 - 15:45 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
Wednesday 05.06. 13:15 - 15:45 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
Wednesday 12.06. 13:15 - 15:45 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
Wednesday 19.06. 13:15 - 15:45 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
Wednesday 26.06. 13:15 - 15:45 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock

Information

Aims, contents and method of the course

The course aims to first introduce the modelling and geometric foundations of balance and constitutive laws in continuum mechanics. Then, we will discuss the basic analysis of some such models, with an emphasis on variational methods for linearized and finite elasticity. Finally, time permitting, we will explore some examples of the cross-talk between continuum mechanics and imaging science: image registration using elastic energies, connections between viscoplastic materials and image denoising, and between fracture mechanics and image segmentation.

Assessment and permitted materials

Oral exam, either based on the contents of the course or on the reading of some pre-agreed additional material.

Minimum requirements and assessment criteria

Examination topics

Reading list

P. G. Ciarlet. Mathematical elasticity, Volume I: Three-dimensional elasticity. North-Holland, 1988.

H. Attouch, G. Buttazzo, G. Michaille. Variational analysis in Sobolev and BV spaces: applications to PDEs and optimization. MPS-SIAM series on optimization, 2006/2014.

Association in the course directory

MANV, MAMV

Last modified: Mo 07.09.2020 15:40