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Furthermore, the numerical treatment is enriched with an enhanced approximation of the geometry based on isoparametric curvilinear meshes.
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Although there is no theoretical reason for adopting the exponential function in Eq. (21), we empirically found this style of function enhanced the approximation of temporal rate changes, especially for values close to zero.
During the backward pass the Benders cuts are constructed in order to enhance the approximation of the future cost functions t + 1.
The gradient of the discrete action functional is obtained through the functional derivative and the moving mesh technique is employed to enhance the approximation accuracy.
Furthermore, more sophisticated algorithms may be used to enhance the approximation of lower order partial correlations or the inference of the ordering of the nodes.
Based on two-point diagonal quadratic approximation (referred to as TDQA), developed by Kim et al. [Min-Soo Kim, Jong-Rip Kim, Jae-Young Jeon, Dong-Hoon Choi, Efficient mechanical system optimization using two-point diagonal approximation in the nonlinear intervening variable space, J. KSME 15 (2001) 1257 126], enhanced two-point approximation methods are proposed in this paper.
In XIGA, the isogeometric approximation enhanced by enrichment is cable of capturing discontinuities in plates caused by internal defects.
The scope of this work is restricted to numerical methods and in particular an approach that utilises the benefits of traditional continuous finite element approximations but enhanced with an increased capacity for handling material discontinuities.
The simulation results indicate decrease in estimation error values that depicts its ability to enhance the function approximation capability and consequently exhibits excellent learning ability compared to the conventional back-propagation neural network with sigmoid or other activation functions.
The simulation results indicate decrease in estimation error values that depicts its ability to enhance the function approximation capability and consequently exhibits excellent learning ability compared to the conventional neural network with sigmoid or other activation functions.
The third one is a finite element recovery method which enhances the eigenpair approximations with small extra work.
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