Good quality point sets and error estimates for moving least square approximations

  • Authors:
  • Carlos Zuppa

  • Affiliations:
  • Departamento de Matemáticas, Universidad Nacional de San Luis, Chacabuco y Pedernera, 5700 San Luis, Argentina

  • Venue:
  • Applied Numerical Mathematics - Special issue on applied and computational mathematics: Selected papers of the fourth PanAmerican workshop
  • Year:
  • 2003

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Abstract

The goal of this paper is to study the relation of the condition number of the star of nodes in normal equations for error estimates of Moving Least Square approximations in Sobolev spaces. The condition numbers are closely related to the good quality of the set of nodes and the approximating power of the method.