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The case of numerical yield line method being also rapidly mentioned, a more refined finite element-based upper bound approach is also proposed, taking dissipation through curvature as well as angular jumps into account.
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A commercial-scale process based on the strategy produces high numerical carbon yields (overall yields: 35.2%; C6-to-LA: 20.4%, C5-to-FF: 69.2%, and Lignin-to-PG: 13.3%) from a dilute concentration of solute (1.3 30.0 wt.% solids), but a high recovery of these molecules requires an efficient separation system with low energy requirement.
Such numerical strings yield the keys for secure storage and transmission of data.
Numerical methods yield approximate solutions to the governing equation through the discretization of space and time.
It can be observed that the closed-form solution and the numerical solution yield the same optimal mutual information value.
The results of the numerical study yield realistic groove sizes in relevant time scales.
Numerical calculations yield values of the vibrational energies of each plate.
Comparisons between current results and those from analytical and other numerical methods yield good agreement.
The tri-exponential transfer functions with the present numerical approach yield a reliable technique to represent the experimental imbibition data.
The numerical tests yield load deflection curves from which the shear strengthening performance of the repair systems is evaluated.
Conventional numerical methods yield high dimensionality in the resulting numerical problem due to segmentation of the non-uniform section into a number of subsections.
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