Abstract
The main idea behind FDM is the approximation of the derivative operations ∂u/∂x and ∂ 2 u/∂x 2 by the difference quotients Δu(x)/Δx and Δ 2 u(x)/Δx 2, which reduces the partial differential equation to a set of algebraic equations. The application of FDM has two serious limitations. First, the regular steps of h x , h y , h z which construct an array of grid nodes in the x, y, z directions are not suitable for a field with a rapidly changing gradient or for problems having a curved boundary. Second, different formulae must be derived for specific interfaces between different media and for the various shapes of boundaries.
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© 1993 Springer-Verlag Berlin Heidelberg
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Zhou, Pb. (1993). Fundamentals of Finite Element Method (FEM). In: Numerical Analysis of Electromagnetic Fields. Electric Energy Systems and Engineering Series. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-50319-1_4
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DOI: https://doi.org/10.1007/978-3-642-50319-1_4
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