| タイトル | Boundary conditions for the numerical solution of elliptic equations in exterior regions |
| 本文（外部サイト） | http://hdl.handle.net/2060/19800015552 |
| 著者（英） | Bayliss, A.; Gunzburger, M.; Turkel, E. |
| 著者所属（英） | NASA Langley Research Center |
| 発行日 | 1980-01-01 |
| 言語 | eng |
| 内容記述 | Elliptic equations in exterior regions frequently require a boundary condition at infinity to ensure the well-posedness of the problem. Examples of practical applications include the Helmholtz equation and Laplace's equation. Computational procedures based on a direct discretization of the elliptic problem require the replacement of the condition on a finite artificial surface. Direct imposition of the condition at infinity along the finite boundary results in large errors. A sequence of boundary conditions is developed which provides increasingly accurate approximations to the problem in the infinite domain. Estimates of the error due to the finite boundary are obtained for several cases. Computations are presented which demonstrate the increased accuracy that can be obtained by the use of the higher order boundary conditions. The examples are based on a finite element formulation but finite difference methods can also be used. |
| NASA分類 | NUMERICAL ANALYSIS |
| レポートNO | 80N24044
NASA-CR-153185
REPT-80-1 |
| 権利 | No Copyright |
| URI | https://repository.exst.jaxa.jp/dspace/handle/a-is/172518 |
