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Unisolvent functions

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… 
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Broader (3)

Approximation theoryInterpolationNumerical analysis
List of numerical analysis topicsPolynomialPolynomial interpolation

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2020
2020
On the unisolvence for the quasi-polynomial spaces of differential forms
We consider quasi-polynomial spaces of differential forms defined as weighted (with a positive weight) spaces of differential… 
2019
2019
Rate of convergence of multinode Shepard operators
The triangular Shepard method, introduced by Little in 1983 [7], is a convex combination of triangular basis functions with… 
2018
2018
Approximation capabilities of immersed finite element spaces for elasticity Interface problems
We construct and analyze a group of immersed finite element (IFE) spaces formed by linear, bilinear, and rotated Q1 polynomials… 
Highly Cited
2016
Highly Cited
2016
A group of immersed finite-element spaces for elliptic interface problems
We present a unified framework for developing and analysing immersed finite element (IFE) spaces for solving typical elliptic… 
Highly Cited
2011
Highly Cited
2011
The Serendipity Family of Finite Elements
We give a new, simple, dimension-independent definition of the serendipity finite element family. The shape functions are the… 
Highly Cited
2005
Highly Cited
2005
Bivariate polynomial interpolation on the square at new nodal sets
Highly Cited
1999
Highly Cited
1999
Canonical construction of finite elements
The mixed variational formulation of many elliptic boundary value problems involves vector valued function spaces, like, in three… 
1990
1990
On the solvability of bivariate Hermite-Birkhoff interpolation problems
1961
1961
Tchebycheff approximations by functions unisolvent of variable degree
1. The first steps toward a theory of nonlinear Tchebycheff approximations were made by T. S. Motzkin [2] and L. Tornheim [4… 
1949
1949
Approximation by curves of a unisolvent family
The aim of this paper is to extend theorems on the best approximation of a given function by a polynomial of a given degree, or… 
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