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

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

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 ac...

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Veröffentlicht in:International journal of numerical methods for heat & fluid flow 1993-01, Vol.3 (1), p.35-47
Hauptverfasser: ONANA, AWONO, YUNKAP KWANKAM, S, NGONO JOSEPH, MVOGO
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:0961-5539
1758-6585
DOI:10.1108/eb017514