Summary
Transmission problems for Maxwell’s equations can be formulated by boundary integral equations if the material coefficients are constant. If the coefficients are nonconstant in a bounded domain, then a coupled system of differential equations and boundary integral equations is obtained. We describe such a system which leads to a coercive variational formulation. The discretization is a coupling of ordinary finite element and boundary element methods. A convergence proof and asymptotic error estimates are available.
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References
Costabel, M.: Starke Elliptizität von Randintegraloperatoren erster Art. Habilitationsschrift. Preprint 982, Technische Hochschule Darmstadt 1984.
Costabel, M.: Symmetrie methods for the coupling of finite elements and boundary elements. In C.A. Brebbia, W.L. Wendland, (Eds.): Boundary Element Methods IX, Vol. 1, 411–420. Berlin: Springer-Verlag 1987.
Costabel, M.; Stephan, E.P.: Strongly Eliptic Boundary Integral Equations for Electromagnetic Transmission Problems. Preprint 1062, Technische Hochschule Darmstadt 1987. Submitted to Royal Soc. Edinburgh Proc. A.
Müller, C.: Foundations of the Mathematical Theory of Electromagnetic Waves. Berlin: Springer-Verlag 1969.
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© 1988 Springer-Verlag Berlin Heidelberg
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Costabel, M. (1988). Coupling of FEM and BEM for the Numerical Solution of the Problem of Electromagnetic Scattering from an Inhomogeneous Body. In: Atluri, S.N., Yagawa, G. (eds) Computational Mechanics ’88. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-61381-4_32
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DOI: https://doi.org/10.1007/978-3-642-61381-4_32
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-64818-2
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