Lecture "Mixed Finite Element Methods" (SoSe 2025)
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 as well as from basic computational partial differential
equations (standard Galerkin FEM).
Content:
This lecture is devoted to the numerical approximation
of solutions of partial differential equations (PDEs)
in a saddle point formulation.
These kind of problems
arise for example in mixed formulations of, e.g., the Poisson problem,
if the gradient is approximated with an additional variable,
or in the Stokes equations that describe fluid flows.
The lecture will provide an abstract theory for the
approximation of saddle point problems, discusses finite
elements for the approximation of stress-like variables
for mixed formulations, and finite elements for the
Stokes equations.
Time of lectures
The lecture will take place on monday from 11:15-12:45 in
P-701.
News
Am 12.5.25 muss die Vorlesung entfallen. Sie
wird am 21.5.25 um 11:15 Uhr in HS 17 nachgeholt werden.
Am 28.4.25 findet keine Vorlesung statt.
The first lecture will take place on monday, April 07 at 11:15.
Material
Literature
- S. Bartels. Numerical approximation of partial differential
equations. Springer, 2016.
- D. Braess. Finite Elements. Springer, 2017.
- S.C. Brenner, L.R. Scott. The mathematical theory of finite element
methods. Springer, 2008.
- D. Boffi, F. Brezzi, M. Fortin. Mixed finite element methods
and applications. Springer, 2010.
Script
Skript
Code