Geodesic
On a potential problem with incident wave as a field source
Applications of Mathematics, Tome 33 (1988) no. 6, pp. 443-455
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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.
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.
DOI : 10.21136/AM.1988.104323
Classification : 31A30, 35J05, 35J15, 35J25, 35J67, 65N30, 78A20, 78A45
Keywords: diffraction; wave scattering 
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Drápalík, Vladimír; Janovský, Vladimír. On a potential problem with incident wave as a field source. Applications of Mathematics, Tome 33 (1988) no. 6, pp. 443-455. doi: 10.21136/AM.1988.104323

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[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 | Zbl

[5] J. Nečas: Les Méthodes Directes en Théorie des Equations Elliptiques. Academia, Prague 1967. | MR

[6] C. Johnson J. C. Nedelec: On the coupling of boundary integral and finite elements methods. Math. Соmр. 35 (1980), 1063-1079. | MR

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