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A spectral streamline diffusion finite element coupling method of unsteady transport equation in the field of neutron logging

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Abstract

In this paper, a new numerical method, the coupling method of spherical harmonic function spectral and streamline diffusion finite element for unsteady Boltzmann equation in the neutron logging field, is discussed. The convergence and error estimations of this scheme are proved. Its applications in the field of neutron logging show its effectiveness.

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Communicated by Dai Shiqiang

Foundation item: the National Natural Science Foundation of China (19671067)

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Liquan, M. A spectral streamline diffusion finite element coupling method of unsteady transport equation in the field of neutron logging. Appl Math Mech 20, 739–747 (1999). https://doi.org/10.1007/BF02454895

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  • DOI: https://doi.org/10.1007/BF02454895

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