250048 VO Numerics of Partial Differential Equations (2022W)
Labels
ON-SITE
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
Thursday
02.02.2023
Friday
10.02.2023
Thursday
23.02.2023
Thursday
09.03.2023
Wednesday
22.03.2023
Friday
07.07.2023
Friday
01.09.2023
Lecturers
Classes (iCal) - next class is marked with N
Lectures and exams will take place on site. They will be moved to a digital format if required by the University regulations.
Monday
03.10.
13:15 - 14:45
Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
Wednesday
05.10.
09:45 - 11:15
Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
Monday
10.10.
13:15 - 14:45
Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
Wednesday
12.10.
09:45 - 11:15
Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
Monday
17.10.
13:15 - 14:45
Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
Wednesday
19.10.
09:45 - 11:15
Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
Monday
24.10.
13:15 - 14:45
Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
Monday
31.10.
13:15 - 14:45
Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
Monday
07.11.
13:15 - 14:45
Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
Wednesday
09.11.
09:45 - 11:15
Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
Monday
14.11.
13:15 - 14:45
Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
Wednesday
16.11.
09:45 - 11:15
Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
Monday
21.11.
13:15 - 14:45
Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
Wednesday
23.11.
09:45 - 11:15
Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
Monday
28.11.
13:15 - 14:45
Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
Wednesday
30.11.
09:45 - 11:15
Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
Monday
05.12.
13:15 - 14:45
Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
Wednesday
07.12.
09:45 - 11:15
Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
Monday
12.12.
13:15 - 14:45
Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
Wednesday
14.12.
09:45 - 11:15
Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
Monday
09.01.
13:15 - 14:45
Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
Wednesday
11.01.
09:45 - 11:15
Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
Monday
16.01.
13:15 - 14:45
Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
Wednesday
18.01.
09:45 - 11:15
Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
Monday
23.01.
13:15 - 14:45
Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
Wednesday
25.01.
09:45 - 11:15
Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
Monday
30.01.
13:15 - 14:45
Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
Information
Aims, contents and method of the course
The course mainly focuses on Finite Element Methods for the numerical approximation of Partial Differential Equations. Three aspects of the finite element method will be considered: i) theoretical foundations, ii) examples of applications to the numerical approximation of partial differential equations arising in different application domains, iii) implementation details. After revising some basic concepts in functional analysis, finite element methods for the Poisson problem will be introduced; their stability and error analysis, as well as the basic tools for their implementation, will be presented. Then, finite element approximations of the heat equation, of the Helmholtz problem and of advection-dominated advection-diffusion problems will be considered, discussing the respective specific issues. Implementation details will be discussed. The last part of this course, depending on the students' interests, will concern either other applications (fluid mechanics, electromagnetics, elasticity), or non standard finite element methods (as discontinuous Galerkin methods).
Assessment and permitted materials
Final oral exam (by appointment)
Minimum requirements and assessment criteria
Presentation of theoretical and numerical aspects of Finite Element Methods for the numerical approximation of Partial Differential Equations arising from different applications.
Examination topics
Content of the lectures.
Reading list
Suggested reading: A. Quarteroni, Numerical Models for Differential Problems, Springer, 2014. Additional material and course notes will be distributed during the course.
Association in the course directory
MAMV; MANV
Last modified: Fr 01.09.2023 10:27