| タイトル | Energy conserving norms for the solution of hyperbolic systems of partial differential equations |
| 著者(英) | Gunzburger, M. D.; Plemmons, R. J. |
| 著者所属(英) | Tennessee Univ. |
| 発行日 | 1979-01-01 |
| 言語 | eng |
| 内容記述 | The hyperbolic system of partial differential equations with a real constant square coefficient matrix A is considered. The problem of finding an energy conserving norm for the solution of the system is reduced to the problem of characterizing those matrices appearing in the boundary conditions which satisfy two specific matrix equations. Necessary and sufficient conditions on the coefficient matrix A and the matrices appearing in boundary conditions are derived for an energy conserving norm. The conditions serve as criteria on a given system which determine whether or not the solution will have its energy conserved in some norm. Examples of specific systems and boundary conditions are also provided. |
| NASA分類 | NUMERICAL ANALYSIS |
| レポートNO | 79A27191 AD-A072343 ARO-14692.1-M |
| 権利 | Copyright |
| URI | https://repository.exst.jaxa.jp/dspace/handle/a-is/427977 |