
Accession Number : ADA114479
Title : BSplines From Parallelepipeds.
Descriptive Note : Technical summary rept.,
Corporate Author : WISCONSIN UNIVMADISON MATHEMATICS RESEARCH CENTER
Personal Author(s) : DE Boor,C ; Hoellig,K
PDF Url : ADA114479
Report Date : Feb 1982
Pagination or Media Count : 24
Abstract : Local support bases for piecewise polynomial spaces are important for applications such as finite element methods, data fitting etc. In (BH sub 1) a general construction principle for such Bsplines was described. A special case are the so called boxsplines. They have a particularly regular discontinuity pattern and coincide in special cases with standard finite elements. It is hoped that using translates of boxsplines will lead, at least in two variables, to a unified theory for piecewise polynomial functions on regular meshes. This note is a first attempt in this direction and deals with basic approximation properties of translates of one boxsplines such as stability, degree of approximation etc. (Author)
Descriptors : *Splines(Geometry), *Multivariate analysis, Finite element analysis, Data reduction, Approximation(Mathematics), Stability, Polynomials, Discontinuities, Optimization
Subject Categories : Statistics and Probability
Distribution Statement : APPROVED FOR PUBLIC RELEASE