After successful completion of the course, students are able to:

• Describe the theoretical foundations of the method of finite elements.
• Numerically solve partial differential equations relevant to heat conduction, elasticity and electrodynamics using open source tools.
• Select suitable numerical methods for static and time-dependent problems.
• Judge the applicability of different types of finite elements and meshes to different problems.
• Estimate the numerical error and the  convergence behavior of finite element solutions.
• Perform numerical eigenmode analysis.
• Process scientific data in Python.
• Create 2D and 3D data visualizations.
• Present and discuss own results

Partial differential equations play an important role in engineering and natural sciences. The Maxwell equations for electromagnetic fields, the Navier Stokes equation for fluid flows and the equations of motion in elasticity theory are examples of such partial differential equations which are fundamental for the modelling of technical systems. In practice partial differential equations are often solved numerically with the method of finite elements. In this lecture, we present the necessary foundations for the practical use of the method of finite elements. We start with a short introduction of the essential theory of the finite element method. In the main part of the course, participants implement particle examples using open source software.

• Lectures
• Programming exercises in Python
• Presentation and discussion of solutions to exercises

• Announcement of ISAS free elective courses: Monday 2 March 2020, 1 pm, EI 3 Sahulka Hörsaal
• A laptop is required for solving and presenting the programming exercises

Oral examination with individual appointment

Basic knowledge of Python is helpful.