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(iv) Another growing field is related with the development and application of the reduced basis methodology to the quantification of uncertainty [24, 80, 81].
Local Fourier basis methodology fully uses the superposition principle to split the searched solution in a numerically computed part and an analytically computed part.
The development of the reduced basis methodology can be viewed as a response to the issues described before, to address a significative computational reduction and improvement in computational performances.
We now briefly discuss some extensions of the reduced basis methodology presented in Section 4 to address more general classes of problems, also to face industrial problems of a certain degree of complexity.
The reduced basis methodology we recall in this paper is motivated by, and applied within two particular contexts: the real-time context (for example, in-the-field robust parameter-estimation, or nondestructive evaluation); and the many-query context (for example, design or shape optimization, optimal control or multi-model/scale simulation).
Departing from the approach used in the FE-HMM, we show that interpolation techniques based on the reduced basis methodology (an offline-online strategy) allow one to design an efficient numerical method relying only on a small number of accurately computed micro solutions.
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More importantly, the study proposes an alternative basis and methodology for segmenting shoppers.
For volume mesh deformation and two-way data interpolation over non-matching grids interface, a radial basis function methodology combined with a data reduction algorithm has been used.
We describe the scientific motivation, experimental basis, design methodology, and simulated performance of the ExaVolt Antenna (EVA) mission, and planned ultra-high energy (UHE) particle observatory under development for NASA's suborbital super-pressure balloon program in Antarctica.
Latin Hypercube Sampling is used to sample the design space, while Radial Basis Function methodology is used to develop surrogate models for the selected crash responses at multiple sites as well as the first three fundamental natural frequencies.
But rather, rational insights into tracer design can be gained through application of the EMU basis vector methodology.
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