Accuracy comparisons for variational R, T and T-1 response matrix formulations

L. A. Olvey*, E. E. Lewis

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


Three classes of response matrix methods designated by Lindahl and Weiss (1981) as R, T and T-1 are formulated variationally using modified forms of the same diffusion theory functional. With polynomial trial functions of identical form, 1-D model problems are solved and compared with exact analytical solutions. The T-1 formalism which has been shown elsewhere to enforce nodal balance gives superior results. The T formulation, in which essential boundary conditions decrease the available degrees of freedom in the trial function, yields the least accurate results.

Original languageEnglish (US)
Pages (from-to)203-209
Number of pages7
JournalAnnals of Nuclear Energy
Issue number4
StatePublished - 1987

ASJC Scopus subject areas

  • Nuclear Energy and Engineering

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