期刊
COMMUNICATIONS IN COMPUTATIONAL PHYSICS
卷 16, 期 2, 页码 541-570出版社
GLOBAL SCIENCE PRESS
DOI: 10.4208/cicp.020313.120314a
关键词
Summation-by-parts; weak boundary conditions; penalty technique; high-order accuracy; finite difference schemes; stability; steady-state; non-reflecting boundary conditions
资金
- Higher Education Commission (HEC) of Pakistan
- National Science Foundation [0948304]
- Southern California Earthquake Center
- NSF [EAR-0529922]
- USGS [07HQAG0008, 1806]
- Swedish Research Council (VR)
- Directorate For Geosciences
- Division Of Earth Sciences [0948304] Funding Source: National Science Foundation
A new weak boundary procedure for hyperbolic problems is presented. We consider high order finite difference operators of summation-by-parts form with weak boundary conditions and generalize that technique. The new boundary procedure is applied near boundaries in an extended domain where data is known. We show how to raise the order of accuracy of the scheme, how to modify the spectrum of the resulting operator and how to construct non-reflecting properties at the boundaries. The new boundary procedure is cheap, easy to implement and suitable for all numerical methods, not only finite difference methods, that employ weak boundary conditions. Numerical results that corroborate the analysis are presented.
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