SOLUTION OF THE TWODIMENSIONAL NEUTRON TRANSPORT EQUATION BY A HIERARCHICAL FINITE ELEMENT METHOD

SOLUTION OF THE TWODIMENSIONAL 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 twodimensional neutron transport equation. The combination of mesh refinement with additional basis functions leads to an acc...

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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
Schlagworte:
Finite element method
Neutron transport equation
SOR methods
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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 twodimensional 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
DOI:10.1108/eb017514