Accession Number : AD0702432

Title :   INTERPOLATION ON A NET OF CONVEX QUADRILATERALS,

Corporate Author : RAND CORP SANTA MONICA CALIF

Personal Author(s) : Kaplan,M. A. ; Papetti,R. A.

Report Date : DEC 1969

Pagination or Media Count : 38

Abstract : The problem of forming a surface of interpolation over a mesh of convex quadrilateral cells is investigated. The requirements that the surface be continuous and practical to generate lead to the consideration of interpolation across a space quadrilateral by a set of ruled surfaces. A single surface is selected from this set by use of certain invariance requirements and by simplicity. This surface, an hyperboloid of one sheet, is shown to achieve its maximum and minimum values on its boundary and to have no relative maxima or minima in its interior. The resulting interpolation scheme reproduces the most widely used form of rectangular interpolation in the special case when the quadrilateral is a rectangle. Triangular interpolation is also discussed. (Author)

Descriptors :   (*EXPLOSION EFFECTS, *NUMERICAL ANALYSIS), NUCLEAR EXPLOSIONS, BLAST, IMPACT, INTERPOLATION, TOPOLOGY, DIFFERENTIAL GEOMETRY

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE