Summary.
We use the integral equation approach to study electromagnetic scattering by perfectly conducting (non-orientable) Lipschitz screens. The well-posedness of the electric field integral equation is derived. The Galerkin method for this problem is analysed in a general setting and optimal error bounds are proved for conforming finite elements in natural norms.
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Received September 7, 2001 / Revised version received May 15, 2002 Published online October 29, 2002
Mathematics Subject Classification (1991): 65R20
Work of the second author was sponsored by Thales Airborne Systems.
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Buffa, A., Christiansen, S. The electric field integral equation on Lipschitz screens: definitions and numerical approximation. Numer. Math. 94, 229–267 (2003). https://doi.org/10.1007/s00211-002-0422-0
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DOI: https://doi.org/10.1007/s00211-002-0422-0