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The approximate frequency obtained using the coupled method is more accurate than the modified variational approach and ones obtained using other approximate methods and the discrepancy between the approximate frequency using this coupled method and the exact one is lower than 0.31% for the whole range of values of oscillation amplitude.
The convergence of the derived approximate minimal to the exact one is extensively discussed.
It is concluded that for fine poroelastic materials, the accuracy of the present method against the exact one is excellent.
Both approximate frequencies are valid for the complete range of oscillation amplitudes, and excellent agreement of the approximate frequencies with the exact one are demonstrated and discussed.
The approximate frequency obtained using the second procedure is more accurate than the frequency obtained with the first one and the discrepancy between the approximate frequency and the exact one is lower than 1.28%.
In particular, a case study on two real projects confirms the effectiveness of our approach; as to efficiency, for medium-sized problems an exact solution is found in a few minutes, while for large problems a heuristic solution that is less than 1% far from the exact one is returned in a few seconds.
Unique solvability and convergence of formal solutions to the exact one are formulated.
Less iteration time and a little worse electromagnetic performance with maximum directivity in accuracy of 0.000 1 dB than the exact one are provided by BFGS approximation Hessian matrix in the two-step structural design.
(1) Less iteration time and a little worse electromagnetic performance with maximum directivity in accuracy of 0.000 1 dB than the exact one are provided by BFGS approximation Hessian matrix in the two-step structural design.
"Choosing the exact one is kind of like choosing a lover".
Excellent agreement of the approximate frequencies and periodic solutions with the exact ones are demonstrated and discussed.
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CEO of Professional Science Editing for Scientists @ prosciediting.com