Lecture Computational PDEs II (SS 2025)
Theorie und Numerik partieller Differentialgleichungen II

Basic information

Lecture and exercises: Dietmar Gallistl
Friedolin info
Dates: see table below
Required preliminaries: basic knowledge on the finite element method^*; basic programming skills; basic linear functional analysis (Höhere Analysis I can be attendend in parallel)
(^* for example from one of the courses Iterative solvers for PDEs / Computational PDEs I / Numerical Analysis of instationary PDEs)
If you meet these requirements, you can follow the course without having attended Computational PDEs I.
This is a 6 ECTS course. We will meet roughly every second week (see schedule below) 8-12 for lectures and exercises. It is essential for the students to solve the theoretical problems and the programming assignments.
Oral exams on individual appointment.

Saddle-point problems; mixed finite elements; Stokes equations; linear elasticity; a posteriori error estimation

There will be lecture notes.
Earlier version of the lecture notes (only parts of it will conincide with this lecture): pdf file (last update 29-Jan-2024)

In addition to the lecture notes, the students are encouraged to consult the textbooks by Brenner/Scott, Braess, Boffi/Brezzi/Fortin.

Problem solving: The table below displays the exercises to be discussed in the respective week (e.g., the exercises formulated in week 19 can be found in the row for week 20).
Legend:
orange=lecture

magenta=programming project (no class, individual appointments)

grey=no class (holiday)