A multipoint interpolation method based on variational principles for functionals of the solution to linear equations
- 1 May 1976
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 17 (5) , 683-687
- https://doi.org/10.1063/1.522948
Abstract
A method is derived for using variational expressions to interpolate among known values of a functional of the solution to linear equations. For linear functionals of the solution to an inhomogeneous equation, the interpolation expression is exact at N distinct points when N distinct functions are used, each of which is the solution of the underlying Euler equation. Two point variational interpolation is derived to interpolate on the value of an eigenvalue using the Rayleigh quotient. Illustrative examples are given based on neutron transport studies of fusion reactor blanket systems and applications to sensitivity and optimization studies in reactor theory are discussed.Keywords
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