Article
MSC:
31A30,
35J05,
35J15,
35J25,
35J67,
65N30,
78A20,
78A45 | MR 0973239 | Zbl 0694.35049 | DOI: 10.21136/AM.1988.104323
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Keywords:
diffraction; wave scattering
diffraction; wave scattering
Summary:
A field source which is given by an incident wave in a neighborhood of an inhomogeneous body (in $\bold R^2) zields an integral equation on the boundary of $\Omega$. This integral equation may serve as a boundary condition for the field equation on $\Omega$. If $\Omega$ is a circle then the existence and uniqueness of the new boundary value problem is proved and an algorithm for the approximate solution is proposed.
References:
[1] V. Janovský I. Marek J. Neuberg: Maxwell's equations with incident wave as a field source. Technical Report KNM-0105057/81, Charles University, Prague 1981.
[2] V. Janovský I. Marek J. Neuberg: Maxwell's equations with incident wave as a field source. Proceedings of Equadiff 5, Teubner-Texte zur Mathematik, Leipzig 1982, 237-240.
[3] A. N. Tichonov A. A. Samarskij: Equations of Mathematical Physics. (in Russian), Nauka, Moscow 1977.
[4] M. Brelot: Lectures on Potential Theory. Tata Institute of Fundamental Research, Bombay 1960. MR 0118980 | Zbl 0098.06903
[5] J. Nečas: Les Méthodes Directes en Théorie des Equations Elliptiques. Academia, Prague 1967. MR 0227584
[6] C. Johnson J. C. Nedelec: On the coupling of boundary integral and finite elements methods. Math. Соmр. 35 (1980), 1063-1079. MR 0583487
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