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Interpolation Methos for Tensor Functions

  • J. Betten
Part of the International Centre for Mechanical Sciences book series (CISM, volume 292)

Abstract

In this chapter polynomial interpolation is considered and extended to tensor-valued functions of one and two argument tensors. Let xα(α = 1,2,...,n) be distinct points and yα corresponding values. The polynomial of degree n-1
(1)
is called “LAGRANGE interpolation formula”, where the polynomials
(2)
are introduced. It is clear that Lα(xβ) is equal to one for α = β and equal to zero for α ≢ β. The remainder in (1) is given by
(3)
where min (x, x1,..., xn) < ξ < max (x, xl,..., xn).

Keywords

Constitutive Equation Interpolation Method Coincident Point Tensor Function Integrity Basis 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Wien 1987

Authors and Affiliations

  • J. Betten
    • 1
  1. 1.Technical University AachenF.R. Germany

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