For the 20-minute teaching sample I will pick a section where the basic idea of finite element (FE) error analysis is explained. This lecture could either form part of a basic undergraduate introductory numerical analysis course (2nd year) or be the starting point of a more comprehensive FE course (3rd year Bachelor, or 1st year Master). The sample will be taken from the end of the respective lecture, assuming that the weak formulation of the stationary diffusion equation in one spatial dimension, existence and uniqueness of the solution, as well as its discretisation with piecewise linear FEs have already been presented to the students. It will start with an abstract best approximation result for a general variational problem in a Hilbert space and finish with its application to bound the FE error for piecewise linear approximation in one dimension.
An Introduction to Finite Element Error Analysis
30.04.2024 15:00 - 15:20
Organiser:
Fakultät für Mathematik
Location: