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Constructing non-re...
Abstract
Ämnesord
Stäng
- In this paper we provide a new approach for constructing non-reflecting boundary conditions. The boundary conditions are based on summation-by-parts operators and derived without Laplace transformation in time. We prove that the new non-reflecting boundary conditions yield a well-posed problem and that the corresponding numerical approximation is unconditionally stable. The analysis is demonstrated on a hyperbolic system in two space dimensions, and the theoretical results are confirmed by numerical experiments.
Ämnesord
- NATURVETENSKAP -- Matematik -- Beräkningsmatematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Computational Mathematics (hsv//eng)
Nyckelord
- Non-reflecting boundary conditions
- Summation-by-parts
- Simultaneous approximation terms
- Finite differences
- Stability
- Accuracy
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
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