Kies de Nederlandse taal
Course module: 191211690
Course infoSchedule
Course module191211690
Credits (ECTS)5
Course typeCourse
Language of instructionEnglish
Contact G.J.M. Krijnen
Contactperson for the course G.J.M. Krijnen
Examiner G.J.M. Krijnen
Academic year2021
Starting block
Application procedureYou apply via OSIRIS Student
Registration using OSIRISYes
Being able to analyse and design electro- and magneto-static systems (and systems in analogue physical domains, e.g. thermostatic) using Finite Element Methods (FEM) techniques 

This course focuses on computation of quasi-static electrical and magnetic fields of technical constructions (as well as systems that can be described physically in analogue fashion). Examples are capacitors, write/read transducers for magnetic recording, periodic systems like patterned recording media, EM-fields shields, particular transducers, MEMS & NEMS devices, transistors, etc.

Analytical computational methods and FEM (Finite Element Methods) will both take 50% of the time. Students will become familiar with the possibilities and (dis)advantages of both methods of approach. They will learn interpreting the FEM results and will apply the analytical methods for validating the FEM results. Some attention will be paid to the analogy of mathematical approach for different application fields such like electrical, magnetic, mechanical, diffusion and heat conduction. EMstatics is positioned between the more or less superficial approach (like for instance in freeFEM++ or Comsol), and the extensive and mathematically profound treatments in the established courses for mathematics and mechanical-engineering students.

Attention will be paid to:

1.      The fundamental mathematics of static EM-field problems.
2.      The choice for an analytic method or a numerical (finite element) approach.
3.      Analytical and numerical computation of one- two-, and three-dimensional electromagnetic fields. Finding the most useful method of approach.
4.      Validation and interpretation of the computational results.
5.      Recognising analogies for computation of fields in the electromagnetic domain on the one hand, and in analogical physical domains (mechanical, heat flow, fluid mechanics) on the other.

The course will be setup with 7 assignments, which will lead to problem-based learning. These cases will be discussed with the instructors on an individual basis, or in small groups. The assessment will be based on the work on a final case. Student will apply the commercial software package “Comsol multiphysics”, using a licence which is valid during the course.
EMstatics focuses on computations for quasi-static electromagnetic problems. Two approaches: 1. Analytic methods, including the application of integration methods and Fourier transforms. 2. Numerical methods, including Finite element methods (FEM).
Educational form(s):
EMstatics is only offered in self-study / capita selecta format (unless a large enough group makes it worthwhile to have group meetings.) and can be taken the entire year.  

Individual assignment (70 hours). Assignment project can be related to the master thesis project.
Assumed previous knowledge
Required, for instance from former courses EE:
Fields & Waves EE module 4, or
Fields & Waves AT module 7, or
Electromagnetism 191403070.
Participating study
Master Electrical Engineering
Required materials
Recommended materials
See Canvas
J. van Kan et. al. "Numerical methods in scientific computing", ISBN 90-71301-50-8
D.K. Cheng "Field and wave electromagnetics" ISBN 0-201-52820-7, or
W.B.J. Zimmerman et. al. "Multiphysics modelling with finite element methods", ISBN 978-981-256-843-4
S. Humphries "Field solutions on computers", ISBN 0-8493-1668-5
Instructional modes
Self study without assistance

Assignments + Paper

Kies de Nederlandse taal