Content of Learning Activity

Review of the concepts of 2-D and 3-D scalar and vector fields, operators, and partial differential equations (PDE). Maxwell equations and classical formulations of static and transient fields. Particular case of A-V formulation for 3-D eddy current and magnetostaitc problems, and in-depth treatment of the 2-D case. Local and global quantities. Basic numerical techniques for the solution of PDEs: finite differences, finite elements, method of moments and boundary element method. Solution methods for systems of linear equations.

Required Learning Resources/Tools

Not applicable

Recommended Learning Resources/Tools

Not applicable

Other Recommended Reading

P.P. Silvester. R.L. Ferrari, Finite Elements for Electrical Engineers, Cambridge University Press, 1996.
M.V.K. Chari, S.J. Salon, Numerical Methods in Electromagnetism, Academic Press, 2000.
The Finite Element Method for Electromagnetic Modelling, Ed. G. Meunier, ISTE, 2008.
M.N.O. Sadiku, Numerical Techniques in Electromagnetics with Matlab®, CRC Press, 2009.
T. Rylander, P. Ingelström, A. Bondeson, Computational Electromagnetics, Springer, 2013.
A. Quarteroni, Numerical Models for Differential Problems, Springer, 2017
G. Allaire, Numerical analysis and optimization, Oxford University Press, 2007
H. Elman, D. Silvester, A. Wathen, Finite Elements and Fast Iterative Solvers - With Applications in Incompressible Fluid Dynamics, Oxford University Press, 2014
C.A. Brebbia, J. Dominguez, Boundary elements - An introductory course, WIT Press, 1992
W. Ford, Numerical Linear Algebra with Applications Using MATLAB®, Academic Press, 2015.

Mode of delivery

• Face to face

Type of Teaching Activity/Activities

• Cours magistraux
• Exercices dirigés
• Utilisation de logiciels
• Ateliers et projets encadrés au sein de l'établissement

Evaluations

The assessment methods of the Learning Activity (AA) are specified in the course description of the corresponding Educational Component (UE)