Advanced Discretization Methods (MSc-CE-WP) (126512-SS 2025)

The lecture covers advanced discretization techniques beyond the conventional finite element
methods for the solution of partial differential equations, such as the finite cell method (FCM) and
isogeometric analysis (IGA). In each case the mathematical formulation as well as the implementation
aspects of the method are discussed and contrasted with conventional methods. Furthermore, the
strengths and shortcomings of each method are highlighted such that their suitability for a given
problem can be evaluated.

After successfully completing the module, the students

• have acquired a solid foundation in the mathematical formulations, implementation aspects
  and application of advanced discretization methods for the solution of partial differential
  equations, such as the finite cell method (FCM) and isogeometric analysis (IGA),
• understand the advantages and disadvantages of each method and can independently evaluate
  their suitability for a given situation,
• can apply their knowledge to the solution of various engineering and scientific problems.