In mathematics, a collection of n functions f1, f2, ..., fn is unisolvent on domain Ω if the vectors are linearly independent for any choice of n… (More)

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2016

2016

- Ana Marco, José-Javier Martínez, Raquel Viaña
- Numerical Algorithms
- 2016

The problem of polynomial interpolation with the Lagrange-type data when using the Bernstein basis instead of the monomial basis… (More)

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2011

2011

- Douglas N. Arnold, Gerard Awanou
- Foundations of Computational Mathematics
- 2011

We give a new, simple, dimension-independent definition of the serendipity finite element family. The shape functions are the… (More)

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2010

2010

We study the unisolvence and interpolation properties of the reduced Hsieh-Clough-Tocher triangle. This finite element of class C… (More)

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2010

2010

We discuss Lagrange interpolation on two sets of nodes in two dimensions where the coordinates of the nodes are Chebyshev points… (More)

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2008

2008

The problem of choosing " good " nodes on a given compact set is a central one in multivariate polynomial interpolation. Besides… (More)

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2006

2006

In a recent paper, Y. Xu proposed a set of Chebyshev-like points for polynomial interpolation on the square [−1, 1]. We have… (More)

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Highly Cited

1999

Highly Cited

1999

- Ralf Hiptmair
- Math. Comput.
- 1999

The mixed variational formulation of many elliptic boundary value problems involves vector valued function spaces, like, in three… (More)

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