| タイトル | A Formulation of Asymptotic and Exact Boundary Conditions Using Local Operators |
| 本文（外部サイト） | http://hdl.handle.net/2060/19980203953 |
| 著者（英） | Hariharan, S. I.; Hagstrom, T. |
| 著者所属（英） | NASA Lewis Research Center |
| 発行日 | 1998-06-01 |
| 言語 | eng |
| 内容記述 | In this paper we describe a systematic approach for constructing asymptotic boundary conditions for isotropic wave-like equations using local operators. The conditions take a recursive form with increasing order of accuracy. In three dimensions the recursion terminates and the resulting conditions are exact for solutions which are described by finite combinations of angular spherical harmonics. First, we develop the expansion for the two-dimensional wave equation and construct a sequence of easily implementable boundary conditions. We show that in three dimensions and analogous conditions are again easily implementable in addition to being exact. Also, we provide extensions of these ideas to hyperbolic systems. Namely, Maxwell's equations for TM waves are used to demonstrate the construction. Finally, we provide numerical examples to demonstrate the effectiveness of these conditions for a model problem governed by the wave equation. |
| NASA分類 | Numerical Analysis |
| レポートNO | E-11225
ICOMP-98-03
NASA/CR-1998-207935
NAS 1.26:207935 |
| 権利 | No Copyright |
| URI | https://repository.exst.jaxa.jp/dspace/handle/a-is/98680 |
