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1. Problem formulations
Formulating the problem is an essential step before applying the numerical method for solving it. It requires a good knowledge of electromagnetism and, to a certain extent, in-depth mathematical knowledge of operator manipulation and properties. The mathematical equations describing a physical phenomenon can either be solved directly, or manipulated to eliminate certain unknown quantities. In both cases, the equation(s) must usually be solved numerically. It's important to stress that the formulation dictates the advantages, disadvantages and limitations of the numerical procedure that will then be applied.
We'll also see that the choice of one or more unknowns dictates the type of spatial sampling used in the formulation. For example, the integral equation will be formulated in terms of sources (real or fictitious currents or associated loads). Consequently, the...
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Problem formulations
Numerical methods
Bibliography
Works
A few books have been published, providing a detailed overview of all methods. They are generally specialized in a group of methods. There are, however, three books that cover a wide range of methods, with the exception of asymptotic approaches:
Numerical Methods for Passive Microwave and Millimeter Wave Structures, Edited by (R.) SORRENTINO, IEEE Press, 1989 ;
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Software tools
As far as electromagnetic calculation software is concerned, there's a website http://emclab.mst.edu/csoft/index.html which lists dozens of companies and laboratories in alphabetical order. Products are listed with a description of the method and range of applications. For many examples, a link is provided to the company...
Directory
Electromagnetic computing activities in France
There is a recognized research activity in the development of numerical methods for electromagnetism. Several university laboratories are working fundamentally on the subject. These include
XLIM (CNRS, University of Limoges: FDTD, FEM, GTD);
Lab-STICC (CNRS, TELECOM-Bretagne/Université...
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