Finite element method for the solution of Maxwell's equations in multiple media
The paper deals with a collocation finite element method which is applied to solve the electromagnetic equations in two or more media. The main problem is that the solution is discontinuous. The proof of the convergence of the collocation method is given. Unfortunately, the paper contains several inexact definitions and statements. For example, the definition of matrix \(P_{ij}\), when \({\bar \Omega}_ i\cap \Omega_ j=\Phi.\) Moreover, in definition of \(S_ h\) the author should assume that \(n\times v\) \(h=0\) only at net points of the boundary, since \(\partial \Omega\) is curved. The author presents an estimate in the norm \(\| v\quad h-v\|_ 2,\) which is not defined when v h is piecewise linear. The list of references could be more complete.
scientific article; zbMATH DE number 4035080