By Nicola Bianchi
Define OF ELECTROMAGNETIC FIELDSVector AnalysisElectromagnetic FieldsFundamental Equations SummaryReferencesBASIC rules OF FINITE aspect METHODSIntroductionField issues of Boundary ConditionsClassical process for the sector challenge SolutionThe Classical Residual approach (Galerkin's Method)The Classical Variational strategy (Rayleigh-Ritz's Method)The Finite point MethodReferencesAPPLICATIONS OF THE FINITE Read more...
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4. D. R. Carver, Electromagnetics, McGraw-Hill, New York, 1973. 5. G. Someda, Elementi di Elettrotecnica Generale, Patron Editore, Bologna, 1977 (in Italian). 6. P. R. Corson, Electromagnetism. Principles and Applications, San Francisco, 1978. 7. A. Plonus, Applied Electromagnetics, McGraw-Hill, New York, 1978. 8. E. Collin, Field Theory of Guided Waves, IEEE Press, New York, 1991. 9. K. Cheng, Fundamentals of Engineering Electromagnetics, Addison-Wesley, Reading, MA, 1993. 10. M. Guarnieri and G.
1)] and the boundary conditions at the same time. The first two methods, the classical residual method and the classical variational method, take into account the whole analysis domain. The functions νj are defined on the whole domain. Conversely, in the finite element method the whole domain is divided in subdomains; then the function φ* is a combination of functions νj that are defined in the subdomains. Consequently, since the subdomains are of reduced dimensions, the interpolating functions νj can be very simple.
The essential boundary conditions have to be added to the definition of the functional in order to obtain the exact solution of the field problem. , are directly satisfied by the obtained solution. , they have to be forced in the field solution. 6 The Finite Element Method The finite element method is essentially based on the subdivision of the whole domain in a fixed number of subdomains. Despite of the classical methods described above, where the interpolating functions νi are defined on the whole domain D, in the finite element method they are defined only on each subdomain.