| Title:
|
On a potential problem with incident wave as a field source (English) |
| Author:
|
Drápalík, Vladimír |
| Author:
|
Janovský, Vladimír |
| Language:
|
English |
| Journal:
|
Aplikace matematiky |
| ISSN:
|
0373-6725 |
| Volume:
|
33 |
| Issue:
|
6 |
| Year:
|
1988 |
| Pages:
|
443-455 |
| Summary lang:
|
English |
| Summary lang:
|
Russian |
| Summary lang:
|
Czech |
| . |
| Category:
|
math |
| . |
| 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. (English) |
| Keyword:
|
diffraction |
| Keyword:
|
wave scattering |
| MSC:
|
31A30 |
| MSC:
|
35J05 |
| MSC:
|
35J15 |
| MSC:
|
35J25 |
| MSC:
|
35J67 |
| MSC:
|
65N30 |
| MSC:
|
78A20 |
| MSC:
|
78A45 |
| idZBL:
|
Zbl 0694.35049 |
| idMR:
|
MR0973239 |
| DOI:
|
10.21136/AM.1988.104323 |
| . |
| Date available:
|
2008-05-20T18:35:30Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/104323 |
| . |
| Reference:
|
[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. |
| Reference:
|
[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. |
| Reference:
|
[3] A. N. Tichonov A. A. Samarskij: Equations of Mathematical Physics.(in Russian), Nauka, Moscow 1977. |
| Reference:
|
[4] M. Brelot: Lectures on Potential Theory.Tata Institute of Fundamental Research, Bombay 1960. Zbl 0098.06903, MR 0118980 |
| Reference:
|
[5] J. Nečas: Les Méthodes Directes en Théorie des Equations Elliptiques.Academia, Prague 1967. MR 0227584 |
| Reference:
|
[6] C. Johnson J. C. Nedelec: On the coupling of boundary integral and finite elements methods.Math. Соmр. 35 (1980), 1063-1079. MR 0583487 |
| . |
