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The Relation Betwee...
The Relation Between Primal and Dual Boundary Conditions for Hyperbolic Systems of Equations
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- Ghasemi Zinatabadi, Fatemeh, 1988- (författare)
- Linköpings universitet,Beräkningsmatematik,Tekniska fakulteten
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- Nordström, Jan, 1953- (författare)
- Linköpings universitet,Beräkningsmatematik,Tekniska fakulteten
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(creator_code:org_t)
- Linköping : Linköping University Electronic Press, 2019
- Engelska 22 s.
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Serie: LiTH-MAT-R, 0348-2960 ; 2019:6
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Abstract
Ämnesord
Stäng
- In this paper we study boundary conditions for linear hyperbolic systems of equations and the corresponding dual problems. In particular, we show that the primal and dual boundary conditions are related by a simple scaling relation. It is also shown that the weak dual problem can be derived directly from the weak primal problem.Based on the continuous analysis, we discretize and perform computations with a high-order finite difference scheme on summation-by-parts form with weak boundary conditions. It is shown that the results obtained in the continuous analysis lead directly to stability results for the primal and dual discrete problems. Numerical experiments corroborate the theoretical results.
Ämnesord
- NATURVETENSKAP -- Matematik -- Beräkningsmatematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Computational Mathematics (hsv//eng)
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
Nyckelord
- Hyperbolic systems
- boundary conditions
- primal problem
- dual problem
- well-posedness
- dual consistency
Publikations- och innehållstyp
- vet (ämneskategori)
- rap (ämneskategori)