A variational solution to the transport equation subject to an affine constraint.

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Description

We establish an existence and uniqueness theorem for the transport equation subject to an inequality affine constraint, viewed as a constrained optimization problem. Then we derive a Space-Time Integrated Least Squares (STILS) scheme for its numerical approximation. Furthermore, we discuss some L{sup 2}-projection strategies and with numerical examples we show that there are not relevant for that problem.

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17 p.

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Pousin, Jerome G. (National Institute of Applied Sciences, Villeurbanne Cedex, France); Najm, Habib N.; Picq, Martine (National Institute of Applied Sciences, Villeurbanne Cedex, France) & Pebay, Philippe Pierre February 1, 2004.

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Description

We establish an existence and uniqueness theorem for the transport equation subject to an inequality affine constraint, viewed as a constrained optimization problem. Then we derive a Space-Time Integrated Least Squares (STILS) scheme for its numerical approximation. Furthermore, we discuss some L{sup 2}-projection strategies and with numerical examples we show that there are not relevant for that problem.

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17 p.

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  • Report No.: SAND2004-8096
  • Grant Number: AC04-94AL85000
  • DOI: 10.2172/921135 | External Link
  • Office of Scientific & Technical Information Report Number: 921135
  • Archival Resource Key: ark:/67531/metadc894306

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Office of Scientific & Technical Information Technical Reports

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  • February 1, 2004

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  • Sept. 27, 2016, 1:39 a.m.

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  • Dec. 8, 2016, 1:47 p.m.

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Pousin, Jerome G. (National Institute of Applied Sciences, Villeurbanne Cedex, France); Najm, Habib N.; Picq, Martine (National Institute of Applied Sciences, Villeurbanne Cedex, France) & Pebay, Philippe Pierre. A variational solution to the transport equation subject to an affine constraint., report, February 1, 2004; United States. (digital.library.unt.edu/ark:/67531/metadc894306/: accessed June 23, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.