Numerical treatment of 3-dimensional potential problem
Vladimír Drápalík; Vladimír Janovský
Aplikace matematiky (1988)
- Volume: 33, Issue: 6, page 456-469
- ISSN: 0862-7940
Access Full Article
top
Abstract
topHow to cite
topDrápalík, Vladimír, and Janovský, Vladimír. "Numerical treatment of 3-dimensional potential problem." Aplikace matematiky 33.6 (1988): 456-469. <http://eudml.org/doc/15556>.
@article{Drápalík1988,
abstract = {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 $\mathbf \{R\}^3$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.},
author = {Drápalík, Vladimír, Janovský, Vladimír},
journal = {Aplikace matematiky},
keywords = {3-dimensional potential problem; Ritz-Galerkin approximation; convergence; diffraction; nonlocal boundary condition; finite elements; 3-dimensional potential problem; Ritz-Galerkin approximation; convergence},
language = {eng},
number = {6},
pages = {456-469},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Numerical treatment of 3-dimensional potential problem},
url = {http://eudml.org/doc/15556},
volume = {33},
year = {1988},
}
TY - JOUR
AU - Drápalík, Vladimír
AU - Janovský, Vladimír
TI - Numerical treatment of 3-dimensional potential problem
JO - Aplikace matematiky
PY - 1988
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 33
IS - 6
SP - 456
EP - 469
AB - 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 $\mathbf {R}^3$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.
LA - eng
KW - 3-dimensional potential problem; Ritz-Galerkin approximation; convergence; diffraction; nonlocal boundary condition; finite elements; 3-dimensional potential problem; Ritz-Galerkin approximation; convergence
UR - http://eudml.org/doc/15556
ER -
References
top- V. Drápalík V. Janovský, On a potential problem with incident wave as a field source, Aplikace matematiky 33 (1988), 443-455 (1988) MR0973239
- J. L. Lions E. Magenes, Problèmes aux limites non homogènes et applications, Dunod, Paris 1968. (1968)
- G. C. Hsiao P. Kopp W. L. Wendland, 10.1007/BF02259638, Computing 25 (1980), 89-130. (1980) MR0620387DOI10.1007/BF02259638
- G. C. Hsiao W. L. Wendland, 10.1016/0022-247X(77)90186-X, J. Math. Appl. Anal. 58 (1977), 449-481. (1977) MR0461963DOI10.1016/0022-247X(77)90186-X
- C. Johnson J. C. Nedelec, On the coupling of boundary integral and finite element methods, Math. Соmр. 35 (1980), 1063-1079. (1980) MR0583487
NotesEmbed ?
topYou must be logged in to post comments.
To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.