Resolution of the Maxwell equations in a domain with reentrant corners. (English) Zbl 0924.65111

The authors discuss the solution of two-dimensional Maxwell equations in a domain with reentrant corners and with a perfectly conducting boundary condition. A decomposition of the \(L_2\)-space is introduced from which a decomposition of the solution in a “regular” part and a “singular” part is obtained which permits to reduce the problem to the numerical computation of the regular part.


65Z05 Applications to the sciences
78A25 Electromagnetic theory (general)
35Q60 PDEs in connection with optics and electromagnetic theory
Full Text: DOI EuDML


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