Sentence examples for by the interpolation functions from inspiring English sources
The influence of these kernels take different directions as it is illustrated by the interpolation functions.
In this paper, the mode shapes of multi-span sandwich beams are assumed as those of uniform beams modified by the interpolation functions.
The maximum in the interior can not be captured by the interpolation functions if low order finite element shape functions are used.
By (2.3), the interpolation functions of the -Euler polynomials are obtained as follows: (2.4).
We now generalized to two-variable -adic Euler - -function, which is first defined by the interpolation function (4.18).
In order to ensure the continuity of the shear stress distribution in the thickness direction, the interpolation functions suggested by Vinson and Chou (1975) are applied instead of shear correction factor as in the second part of Eq. (5).
We have the interpolation functions of these - -Euler polynomials.
The interpolation functions used in formulating the assumed strains are based on the Lagrangian interpolation polynomials.
Depending on the interpolation functions, some kind of smoothing appears.
In case of SFEM, the interpolation functions are piecewise constant.
These variables are approximated by using the interpolation function in finite element space as follows: u = N_{u} bar{u} (52) P_{text{w}} = N_{text{p}} bar{P}_{text{w}} (53) P_{text{o}} = N_{text{p}} bar{P}_{text{o}} (54) varepsilon = Bbar{u} (55 where N is the corresponding shape function, (bar{u}), (bar{P}_{text{w}}), and (bar{P}_{text{o}}) are the nodal unknown variables.
