| タイトル | Domain decomposition methods for systems of conservation laws: Spectral collocation approximations |
| 本文（外部サイト） | http://hdl.handle.net/2060/19890011264 |
| 著者（英） | Quarteroni, Alfio |
| 著者所属（英） | Institute for Computer Applications in Science and Engineering|Consiglio Nazionale delle Ricerche|NASA Langley Research Center |
| 発行日 | 1989-01-01 |
| 言語 | eng |
| 内容記述 | Hyperbolic systems of conversation laws are considered which are discretized in space by spectral collocation methods and advanced in time by finite difference schemes. At any time-level a domain deposition method based on an iteration by subdomain procedure was introduced yielding at each step a sequence of independent subproblems (one for each subdomain) that can be solved simultaneously. The method is set for a general nonlinear problem in several space variables. The convergence analysis, however, is carried out only for a linear one-dimensional system with continuous solutions. A precise form of the error reduction factor at each iteration is derived. Although the method is applied here to the case of spectral collocation approximation only, the idea is fairly general and can be used in a different context as well. For instance, its application to space discretization by finite differences is straight forward. |
| NASA分類 | COMPUTER PROGRAMMING AND SOFTWARE |
| レポートNO | 89N20635
NASA-CR-181773
NAS 1.26:181773
ICASE-89-5 |
| 権利 | No Copyright |
| URI | https://repository.exst.jaxa.jp/dspace/handle/a-is/142709 |
