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Further, these basis functions are designed to have multiple boundary segments, rather than a single boundary as for RBFs.
It consists of three steps: First, empirical basis functions are designed using the 'Proper Orthogonal Decomposition' technique and a low-order lumped parameter system to represent the infinite-dimensional system is obtained by carrying out a Galerkin projection.
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An alternate set of basis functions were designed by linear discriminant analysis (LDA) of logarithmic critical-band power spectra.
A new nonlinear filter, which employs an adaptive spline function as the basis function is designed in this paper.
In order to resolve charging on a dielectric surface, a new 3D linear IFE basis function is designed for each interface element to capture the electric field jump on the interface.
GA functions are designed on the basis of the rank selection method.
Classifying functions were designed and implemented on the basis of information about discrete red and green color values.
The sensitivity coefficient with respect to the inversion parameters was analyzed, on the basis of which the objective function was designed.
In this paper we study multiscale finite element methods (MsFEMs) using spectral multiscale basis functions that are designed for high-contrast problems.
These drawbacks are due to the use of different mathematical languages in design or geometric modeling and numerical analysis: spline basis functions are used in design and geometric modeling whereas Lagrangian and Hermitian polynomials in analysis.
Nevertheless, when the number of CPs and the degrees of the basis functions are included among the design variables the resulting problem is defined over a space having a variable dimension.
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