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Finite difference s...
Finite difference schemes with transferable interfaces for parabolic problems
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- Eriksson, Sofia (författare)
- Linköpings universitet,Linnéuniversitetet,Institutionen för matematik (MA),University of Linköping,Beräkningsmatematik,Tekniska fakulteten,Linnaeus University, Växjö, Sweden
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- Nordström, Jan, 1953- (författare)
- Linköpings universitet,Beräkningsmatematik,Tekniska fakulteten
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(creator_code:org_t)
- Linköping : Elsevier, 2018
- 2018
- Engelska.
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Serie: LiTH-MAT-R, 0348-2960
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Ingår i: Journal of Computational Physics. - Linköping : Elsevier. - 0021-9991 .- 1090-2716. ; 375, s. 935-949
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Abstract
Ämnesord
Stäng
- We derive a method to locally change the order of accuracy of finite difference schemes that approximate the second derivative. The derivation is based on summation-by-parts operators, which are connected at interfaces using penalty terms. At such interfaces, the numerical solution has a double representation, with one representation in each domain. We merge this double representation into a single one, yielding a new scheme with unique solution values in all grid points. The resulting scheme is proven to be stable, accurate and dual consistent. (C) 2018 Elsevier Inc. All rights reserved.
Ämnesord
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
- NATURVETENSKAP -- Matematik -- Beräkningsmatematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Computational Mathematics (hsv//eng)
Nyckelord
- Finite difference methods
- Summation-by-parts
- High order accuracy
- Dual consistency
- Superconvergence
- Interfaces
- Mathematics
- Matematik
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
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