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Gives introductory remarks about chapter 1 of this group of 31 papers, from ISEF 1999 Proceedings, in the methodologies for field analysis, in the electromagnetic community. Observes that computer package implementation theory contributes to clarification. Discusses the areas covered by some of the papers ‐ such as artificial intelligence using fuzzy logic. Includes applications such as permanent magnets and looks at eddy current problems. States the finite element method is currently the most popular method used for field computation. Closes by pointing out the amalgam of topics.

In presented paper the algorithm for 2‐d electromagnetic field calculation using the simple layer potential is describing. Owing to the simple operation — the location of lines of integration in the metall medium (line Γ1) and in the nonconducting medium (line Γ2) — it succeeded to eliminate of integral singularities. The boundary conditions are taking on the Γ0 — line which separates above — mentioned two media.

In the paper, basing on the electromagnetic field analysis in a system with a thin conducting plate, infinitely extended, a set of equations approximately representing the boundary conditions on the plate is presented as well as the scope of their validity is estimated. Developing the idea announced in the eddy current problem is examined in a system with a thin plate having finite surface dimensions and with an external source of any configuration. The problem has been reduced to the Fredholm's equation of the second kind which, for regular‐shaped plates, can be solved in an explicite form Results of calculations are verified by experiment.