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Weakly Admissible Meshes and Discrete Extremal Sets

  • Len Bos (a1), Stefano De Marchi (a2), Alvise Sommariva (a2) and Marco Vianello (a2)

Abstract

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.

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Copyright

Corresponding author

Corresponding author.Email address:leonardpeter.bos@univr.it
Corresponding author.Email address:demarchi@math.unipd.it
Corresponding author.Email address:alvise@math.unipd.it
Corresponding author.Email address:marcov@math.unipd.it

References

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[4]Bos, L., Calvi, J.-P., Levenberg, N., Sommariva, A. and Vianello, M., Geometric weakly admissible meshes, discrete least squares approximation and approximate Fekete points, Math. Comp., to appear (preprint online at: http://www.math.unipd.it/~marcov/CAApubl.html).
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Keywords

Weakly Admissible Meshes and Discrete Extremal Sets

  • Len Bos (a1), Stefano De Marchi (a2), Alvise Sommariva (a2) and Marco Vianello (a2)

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