| Title:
|
Numerical treatment of 3-dimensional potential problem (English) |
| Author:
|
Drápalík, Vladimír |
| Author:
|
Janovský, Vladimír |
| Language:
|
English |
| Journal:
|
Aplikace matematiky |
| ISSN:
|
0373-6725 |
| Volume:
|
33 |
| Issue:
|
6 |
| Year:
|
1988 |
| Pages:
|
456-469 |
| Summary lang:
|
English |
| Summary lang:
|
Russian |
| Summary lang:
|
Czech |
| . |
| Category:
|
math |
| . |
| Summary:
|
Assuming an incident wave to be a field source, we calculate the field potential in a neighborhood of an inhomogeneous body. This problem which has been formulated in $\bold R^3$can be reduced to a bounded domain. Namely, a boundary condition for the potential is formulated on a sphere. Then the potential satisfies a well posed boundary value problem in a ball containing the body. A numerical approximation is suggested and its convergence is analyzed. (English) |
| Keyword:
|
3-dimensional potential problem |
| Keyword:
|
Ritz-Galerkin approximation |
| Keyword:
|
convergence |
| Keyword:
|
diffraction |
| Keyword:
|
nonlocal boundary condition |
| Keyword:
|
finite elements |
| MSC:
|
31B10 |
| MSC:
|
35J05 |
| MSC:
|
35J15 |
| MSC:
|
35J25 |
| MSC:
|
35J67 |
| MSC:
|
65E05 |
| MSC:
|
65N30 |
| MSC:
|
78-08 |
| MSC:
|
78A20 |
| MSC:
|
78A45 |
| idZBL:
|
Zbl 0694.65052 |
| idMR:
|
MR0973240 |
| DOI:
|
10.21136/AM.1988.104324 |
| . |
| Date available:
|
2008-05-20T18:35:34Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/104324 |
| . |
| Reference:
|
[1] V. Drápalík V. Janovský: On a potential problem with incident wave as a field source.Aplikace matematiky 33 (1988), 443-455 MR 0973239 |
| Reference:
|
[2] J. L. Lions E. Magenes: Problèmes aux limites non homogènes et applications.Dunod, Paris 1968. |
| Reference:
|
[3] G. C. Hsiao P. Kopp W. L. Wendland: A Galerkin collocation method for some integral equations of the first kind.Computing 25 (1980), 89-130. MR 0620387, 10.1007/BF02259638 |
| Reference:
|
[4] G. C. Hsiao W. L. Wendland: A finite element method for some integral equations of the first kind.J. Math. Appl. Anal. 58 (1977), 449-481. MR 0461963, 10.1016/0022-247X(77)90186-X |
| Reference:
|
[5] C. Johnson J. C. Nedelec: On the coupling of boundary integral and finite element methods.Math. Соmр. 35 (1980), 1063-1079. MR 0583487 |
| . |
