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Constructing non-re...
Abstract
Subject headings
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- 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.
Subject headings
- NATURVETENSKAP -- Matematik -- Beräkningsmatematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Computational Mathematics (hsv//eng)
Keyword
- Non-reflecting boundary conditions
- Summation-by-parts
- Simultaneous approximation terms
- Finite differences
- Stability
- Accuracy
Publication and Content Type
- ref (subject category)
- art (subject category)
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