279
Views
3
CrossRef citations to date
0
Altmetric
Original Articles

The p-Version of the Finite Element Method for the Solution of Two-Dimensional Neutron Diffusion Equations

&
Pages 242-253 | Received 27 Nov 2000, Published online: 07 Feb 2012

References

  • Hennart , J. P. 1996 . Efficient higher order nodal finite element formulations for neutron multigroup diffusion equations . Nucl Sci. Eng. , 124 : 97
  • Noh , J. M. and Cho , N. Z. 1995 . A new approach of analytic basis function expansion to neutron diffusion nodal calculation . Nucl Sci. Eng. , 116 : 165
  • Cheng , H. W. and Cho , N. Z. 1997 . A spectral-Galerkin coarsemesh approach to solving the two-dimensional multigroup diffusion equations . Ann. Nucl. Energy , 24 : 883
  • Babuska , I. 1981 . The p-version of the finite element method . SI AM. Numer. Anal , 18 : 515
  • Kang , C. M. and Hansen , K. F. 1973 . Finite element methods for reactor analysis . Nucl Sci. Eng. , 51 : 456
  • Nakata , H. and Martin , W. R. 1983 . The finite element response matrix method . Nucl Sci. Eng. , 85 : 289
  • Dilber , I. and Lewis , E. E. 1985 . Variational nodal methods for neutron transport . Nucl Sci. Eng. , 91 : 132
  • Becker , E. B. 1981 . Finite Elements An Introduction , Vol. I , Prentice-Hall Inc. .
  • Hu , N. and Katz , I. N. 1995 . Multi-p methods: Iterative algorithms for the p-version of the finite element analysis . SI AM J. Sci. Comput. , 16 : 1308
  • Koebke , K. 1986 . Application and verification of the simplified equivalence theory for burnup states . Nucl Sci. Eng. , 92 : 56
  • Kim , D. S. and Cho , N. Z. Acceleration of three- dimensional AFEN nodal codes via coarse group rebalance and direct matrix inverse . Proc. M & C, Reactor Physics and Environmental Analysis in Nuclear Applications . Madrid , Spain. pp. 168
  • 1985 . ANL Benchmark Problem Book, ANL-7416 Suppl. 3
  • Cho , N. Z. and Noh , J. M. A multigroup diffusion nodal scheme: Hybrid of AFEN and PEN methods . Proc. Korean Nuclear Society Autumn Meeting . Seoul , Korea. pp. 29

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.