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The 2-D, Unsteady, Transport Equation Solved by the Combined Use of the Finite Element Method and the Method of Characteristics

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Finite Elements in Water Resources

Abstract

The 2-D transport equation is split into separate convection and dispersion equations. The first is solved by a backwards method of characteristics, and the second by a quadratic Galerkin FEM. Accuracy is briefly discussed, both theoretically and through solution of test problems.

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© 1984 Springer-Verlag Berlin Heidelberg

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Baptista, A.M., Adams, E.E., Stolzenbach, K.D. (1984). The 2-D, Unsteady, Transport Equation Solved by the Combined Use of the Finite Element Method and the Method of Characteristics. In: Laible, J.P., Brebbia, C.A., Gray, W., Pinder, G. (eds) Finite Elements in Water Resources. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-11744-6_30

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  • DOI: https://doi.org/10.1007/978-3-662-11744-6_30

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-11746-0

  • Online ISBN: 978-3-662-11744-6

  • eBook Packages: Springer Book Archive

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