B-Splines From Parallelepipeds.

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 B-splines was described. A special case are the so called box-splines. They have a particularly regular discontinuity pattern and coincide in special cases with standard finite elements. It is hoped that using translates of box-splines 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 box-splines such as stability, degree of approximation etc. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1982
Accession Number
ADA114479

Entities

People

  • C. De Boor
  • K. Hoellig

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Computer Science
  • Construction
  • Contracts
  • Finite Element Analysis
  • Fourier Analysis
  • Interpolation
  • Materials
  • Mathematical Analysis
  • Mathematics
  • Military Research
  • North Carolina
  • Polynomials
  • Rocky Mountains
  • Sequences
  • Standards
  • United States
  • Wisconsin

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Graph Algorithms and Convex Optimization.
  • Systems Analysis and Design

Technology Areas

  • Space