Abstract
Exact non-reflecting boundary conditions for a linear incompletely parabolic system in one dimension have been studied. The system is a model for the linearized compressible Navier–Stokes equations, but is less complicated which allows for a detailed analysis without approximations. It is shown that well-posedness is a fundamental property of the exact non-reflecting boundary conditions. By using summation by parts operators for the numerical approximation and a weak boundary implementation, it is also shown that energy stability follows automatically.
| Original language | English |
|---|---|
| Pages (from-to) | 957-986 |
| Number of pages | 30 |
| Journal | Foundations of Computational Mathematics |
| Volume | 17 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - 1 Aug 2017 |
| Externally published | Yes |
Keywords
- Non-reflecting boundary conditions
- Stability
- Summation by parts
- Weak boundary implementation
- Well-posedness
ASJC Scopus subject areas
- Analysis
- Computational Mathematics
- Computational Theory and Mathematics
- Applied Mathematics