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The Keller-Box Scheme: A Mimetic Method that is a Bit Different Perot, Blair
Description
In an effort to better understand what makes a numerical method mimetic we consider an exceptional case. The Keller-Box scheme is multi-symplectic (Reich 2000), it always propagates waves in the correct direction (Frank, 2006), and it discretizes the problem physics and calculus exactly (mimetic). However, the method is not easily described by algebraic topology or discrete differential forms. The properties of this unusual mimetic method are discussed and compared to the more classical mimetic finite element and finite volume methods.
Item Metadata
Title |
The Keller-Box Scheme: A Mimetic Method that is a Bit Different
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2017-06-15T13:30
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Description |
In an effort to better understand what makes a numerical method mimetic we consider an exceptional case. The Keller-Box scheme is multi-symplectic (Reich 2000), it always propagates waves in the correct direction (Frank, 2006), and it discretizes the problem physics and calculus exactly (mimetic). However, the method is not easily described by algebraic topology or discrete differential forms. The properties of this unusual mimetic method are discussed and compared to the more classical mimetic finite element and finite volume methods.
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Extent |
57 minutes
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Subject | |
Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: University of Massachusetts, Amherst
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Series | |
Date Available |
2017-12-12
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Provider |
Vancouver : University of British Columbia Library
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Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
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DOI |
10.14288/1.0361979
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URI | |
Affiliation | |
Peer Review Status |
Unreviewed
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Scholarly Level |
Faculty
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Rights URI | |
Aggregated Source Repository |
DSpace
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Item Media
Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International