Field lines of a plate capacitor computed using boundary element method along with an innovative meshfree post-processing approach

Finite Element Methods

Lecture with exercise

Finite Element Methods


Finite element methods are standard tools for the solution of partial differential equations, for instance Maxwell equations. They enable a deep insight into a physical problem and therefore support knowledge gain similar to analytical methods or experiments.

Here, fundamentals of two established finite element methods are discussed, namely the finite element method (FEM) and the boundary element method (BEM). This includes basic numerical approaches for numerical integration or the solution of linear systems of equations.

Introduction to the course "Finite Element Methods"

Lecture with exercise

The lecture with exercise is held by Dr. Buchau, who has more than 20 years scientific experience in finite element methods. The lecture part of this course is in the seminar room of the Institute of Smart Sensors. There, theoretical background of numerical methods is presented and discussed. Of course, practical aspects, which are relevant for an application of these methods, are considered, too. Numerical examples using the commercial software COMSOL Multiphysics demonstrate the properties of the studied numerical methods.

The exercise part is in the computer laboratory of the Institute of Smart Sensors. Hence, students learn to use numerical field computations and see immediately their properties. Furthermore, the discussion of real problems with other students or the lecturer helps to understand the theoretical background.

COMSOL Multiphysics (c)
Discretized model of a magnetic circuit using the finite element method in COMSOL Multiphysics


  • Module description, detailed content of lecture with exercise, schedule, and registration in C@mpus
  • Lecture notes in ILIAS
  • Date of oral exam by appointment in ILIAS


André Buchau

André Buchau

Vice Director, Group Leader "Multiphysics problems"

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