E-lesson

EM FE Method Applied for Transformers Design – e-lesson#8 – Finite Element Method Formulation

Master’s level Thursday, 3 September 2026, 2:00 PM TZ Europe/Zagreb
Master’s level

Hosted by: Zlatko Hanic

Explains the mathematical principles behind FEM and how physical equations are solved numerically.

This lesson provides a rigorous introduction to the mathematical formulation of the finite element method. Participants learn how differential equations describing physical phenomena are transformed into algebraic equations suitable for numerical computation. We will explain weak formulations, discretization of the computational domain, and the assembly of system matrices used in FEM solvers. Numerical stability, convergence, and solution strategies are also discussed. A worked example demonstrates how FEM models are constructed and solved step by step.

Learning Outputs

  • Understand the mathematical foundations of FEM
  • Explain weak formulation and discretization concepts
  • Recognize system matrix assembly and solution strategies
  • Apply FEM concepts to engineering simulations
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About the author

Zlatko Hanic

Zlatko Hanić is an Associate Professor at the University of Zagreb Faculty of Electrical Engineering and Computing (FER). He has over 15 years of experience in the analysis, design, and optimization of electromechanical and electromagnetic devices, including transformers. His work bridges academic research and practical engineering, specializing in advanced modeling, numerical analysis, and performance optimization of electrical machines.