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Weakly Admissible Meshes and Discrete Extremal Sets

Published online by Cambridge University Press:  28 May 2015

Len Bos,
Stefano De Marchi,
Alvise Sommariva and
Marco Vianello
Len Bos
Affiliation:
Department of Computer Science, University of Verona, Strada Le Grazie 15 - 37134 Verona, Italy
Stefano De Marchi
Affiliation:
Department of Pure and Applied Mathematics, University of Padua, Via Trieste 63 - 35121 Padua, Italy
Alvise Sommariva
Affiliation:
Department of Pure and Applied Mathematics, University of Padua, Via Trieste 63 - 35121 Padua, Italy
Marco Vianello
Affiliation:
Department of Pure and Applied Mathematics, University of Padua, Via Trieste 63 - 35121 Padua, Italy

Abstract

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We present a brief survey on (Weakly) Admissible Meshes and corresponding Discrete Extremal Sets, namely Approximate Fekete Points and Discrete Leja Points. These provide new computational tools for polynomial least squares and interpolation on multidimensional compact sets, with different applications such as numerical cubature, digital filtering, spectral and high-order methods for PDEs.

Keywords

65D0565D32Weakly admissible meshesApproximate Fekete pointsDiscrete Leja points

Information

Type
Research Article
Information
Numerical Mathematics: Theory, Methods and Applications , Volume 4 , Issue 1 , February 2011, pp. 1 - 12
Copyright
Copyright © Global Science Press Limited 2011

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