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Neural network enha...
Neural network enhanced computations on coarse grids
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- Nordström, Jan, 1953- (author)
- Linköpings universitet,Beräkningsmatematik,Tekniska fakulteten,Department of Mathematics and Applied Mathematics, University of Johannesburg, South Africa
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- Ålund, Oskar, 1987- (author)
- Linköpings universitet,Beräkningsmatematik,Tekniska fakulteten
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(creator_code:org_t)
- Elsevier, 2021
- 2021
- English.
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In: Journal of Computational Physics. - : Elsevier. - 0021-9991 .- 1090-2716. ; 425
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https://liu.diva-por... (primary) (Raw object)
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https://urn.kb.se/re...
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https://doi.org/10.1...
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Abstract
Subject headings
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- Unresolved gradients produce numerical oscillations and inaccurate results. The most straightforward solution to such a problem is to increase the resolution of the computational grid. However, this is often prohibitively expensive and may lead to ecessive execution times. By training a neural network to predict the shape of the solution, we show that it is possible to reduce numerical oscillations and increase both accuracy and efficiency. Data from the neural network prediction is imposed using multiple penalty terms inside the domain.
Subject headings
- NATURVETENSKAP -- Matematik -- Beräkningsmatematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Computational Mathematics (hsv//eng)
Keyword
- Boundary layer
- Numerical oscillations
- Neural network
- Summation-by-parts
- Penalty terms
- Coarse grids
Publication and Content Type
- ref (subject category)
- art (subject category)
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