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Constructing non-re...
Constructing non-reflecting boundary conditions using summation-by-parts in time
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- Frenander, Hannes (author)
- Linköpings universitet,Beräkningsmatematik,Tekniska fakulteten
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- Nordström, Jan (author)
- Linköpings universitet,Beräkningsmatematik,Tekniska fakulteten
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(creator_code:org_t)
- Linköping : Linköping University Electronic Press, 2016
- English 19 s.
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Series: LiTH-MAT-R, 0348-2960 ; 2016:14
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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 approximations terms
- finite differences
- stability
- accuracy
Publication and Content Type
- vet (subject category)
- rap (subject category)
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