Uniform bivariate Hermite interpolation
Copyright policy )Uniform bivariate Hermite interpolation
A standard method for obtaining bivariate Hermite interpolation schemes for bivariate polynomials is to take the tensor product of two univariate interpolations. It is shown that it is possible to relax these requirements on the interpolation conditions and still obtain almost regular interpolations (interpolation schemes which are solvable for almost all choices of knots). The methods used are those of bivariate Birkhoff interpolation theory.
bivariate Birkhoff interpolation theory, Multidimensional problems, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, bivariate Hermite interpolation schemes, bivariate polynomials, Interpolation in approximation theory
bivariate Birkhoff interpolation theory, Multidimensional problems, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, bivariate Hermite interpolation schemes, bivariate polynomials, Interpolation in approximation theory
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