## Lecture Computational partial differential equations (WS 2022/2023)
(Numerik partieller Differentialgleichungen)

Jun.-Prof. Dr. Mira Schedensack

Universität Leipzig

Fakultät für Mathematik und Informatik

Mathematisches Institut

#### Participants:

The lecture is suitable for students in mathematics (Diplom Mathematik
and Diplom Wirtschaftsmathematik) and in mathematical physics with the
standard knowledge from the introductory lectures and from functional
analysis. It is possible to attend the lecture functional analysis in parallel.
#### Content:

Partial differential equations play a fundamental role in many applications.
In most cases it is, however, not possible to solve them exactly.
This lecture discusses numerical methods that approximate their solutions.
The focus of the lecture will lie on the theoretical understanding
of finite element methods, but also practical and implementational aspects
are part of the lecture as well as finite difference methods.
#### Time of lectures

The lecture will take place on wednesday and friday at 09:15 in SG 3-13.
The tutorial classes will be on friday 13:15 in SG 3-12.

#### News

Die Vorlesung wird ab dem 26. Oktober immer Mittwochs und
Freitags um 9:15 Uhr stattfinden.
The lecture will take place on monday, October 17 at 9:15.

There will be no tutorial class in the first week.

The tutorial class in the second week will be interchanged with a lecture:
There will be a lecture on friday, October 21, in the time for the
tutorial class and there will be a tutorial class on wednesday, October 26,
at the time of the lecture.

#### Material

##### Exercise sheets

Exercise sheet 1

Exercise sheet 2

Exercise sheet 3

Exercise sheet 4

Exercise sheet 5

Exercise sheet 6

Exercise sheet 7

Exercise sheet 8

Exercise sheet 9

Exercise sheet 10

Exercise sheet 11

Exercise sheet 12

Exercise sheet 13

##### Code

Code for introduction
Code for heat equation

Code for transport and wave equation

Code for mesh refinement

Code for FEM program

Code for RT FEM

Code for Mini FEM

Code for a posteriori analysis

##### Script

Skript (aktuelle Version)