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SOLUTION OF THE TWO‐DIMENSIONAL NEUTRON TRANSPORT EQUATION BY A HIERARCHICAL FINITE ELEMENT METHOD

AWONO ONANA (Laboratory of Applied Mathematics and Simulation, and Automation and Control Laboratory, Ecole Polytechnique, BP 8390, Yaounde, Cameroon)
S. YUNKAP KWANKAM (Laboratory of Applied Mathematics and Simulation, and Automation and Control Laboratory, Ecole Polytechnique, BP 8390, Yaounde, Cameroon)
MVOGO NGONO JOSEPH (Laboratory of Applied Mathematics and Simulation, and Automation and Control Laboratory, Ecole Polytechnique, BP 8390, Yaounde, Cameroon)

International Journal of Numerical Methods for Heat & Fluid Flow

ISSN: 0961-5539

Article publication date: 1 January 1993

94

Abstract

Following the results obtained by Marchuk et al. concerning the variational principles for kinetic equations, a hierarchical finite element method is proposed for solving the two‐dimensional neutron transport equation. The combination of mesh refinement with additional basis functions leads to an accurate and efficient iterative solution of the resulting block linear systems. Numerical results are provided to illustrate the efficiency of the method.

Keywords

Citation

ONANA, A., YUNKAP KWANKAM, S. and NGONO JOSEPH, M. (1993), "SOLUTION OF THE TWO‐DIMENSIONAL NEUTRON TRANSPORT EQUATION BY A HIERARCHICAL FINITE ELEMENT METHOD", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 3 No. 1, pp. 35-47. https://doi.org/10.1108/eb017514

Publisher

:

MCB UP Ltd

Copyright © 1993, MCB UP Limited

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