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Meanwhile, the computational scale is also significant expanded by the aid of FCM.
Comparing with the full finite element analysis, the computational scale is dramatically decreased.
And with the increase of the computational scale and time step size, the speedup ratio of NlEm is further raised.
Then, the HdBNM is combined with the Fast Multipole Method (FMM) based on the model to further reduce the computational scale.
However, analysis of such an RVE using standard numerical methods faces two severe difficulties: discretization of the geometry into elements and the very large computational scale.
So PCA is a desired approach to reduce the computational scale and retain most information by reducing the dimension of each sub weight matrix.
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Precise calculation of molecular electronic wavefunctions by methods such as coupled-cluster requires the computation of tensor contractions, the cost of which has polynomial computational scaling with respect to the system and basis set sizes.
To test the emerging high-performance computing paradigm of communication bound simulations, we present timing results at the largest computational scales currently available.
We systematically verify the DEM implementation, where after we demonstrate the computational scaling on two large-scale simulations.
Results of the study indicate that the ε-NSGAII exhibits quadratic computational scaling with increasing LTM problem size.
Finally, the ability of our approach to address forest ecosystem dynamics at landscape scales was demonstrated by a computational scaling experiment.
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