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Multigrid schemes f...
Multigrid schemes for high order discretizations of hyperbolic problems
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- Ruggiu, Andrea Alessandro (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)
- 2019-01-06
- 2019
- Engelska.
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Ingår i: 2019 AIAA Aerospace Sciences Meeting, AIAA Scitech Forum. - Reston, Virginia : American Institute of Aeronautics and Astronautics. - 9781624105784 ; , s. 1-25
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Abstract
Ämnesord
Stäng
- Total variation diminishing multigrid methods have been developed for first order accurate discretizations of hyperbolic conservation laws. This technique is based on a so-called upwind biased residual interpolation and allows for algorithms devoid of spurious numerical oscillations in the transient phase. In this paper, we justify the introduction of such prolongation and restriction operators by rewriting the algorithm in a matrix-vector notation. This perspective sheds new light on multigrid procedures for hyperbolic problems and provides a direct extension for high order accurate difference approximations. The new multigrid procedure is presented, advantages and disadvantages are discussed and numerical experiments are performed.
Ämnesord
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
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