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In the first iteration of this algorithm it is necessary to initialize and for all u, t, and then repeat computation using (9) and (10) until sufficiently converge.
The TFCV profiles of each repeat computation are shown in Figure 3.
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With this CDAC method, the on-the-fly DRGEP process as well as the chemistry integration only needs to be conducted at the cluster level, dramatically reducing the unnecessary repeated computation for similar computational cells.
This new method, called the reduced basis finite element heterogeneous multiscale method (RB-FE-HMM) is significantly more efficient than the FE-HMM for high order macroscopic discretizations and for three-dimensional problems, when the repeated computation of micro problems over the whole computational domain is expensive.
Such structures have been manufactured in practice above submicron scale so that the atomistic simulations are not tractable to evaluate their performance because the repeated computation of micro/submicro-scale in atomistic simulations requires too much computational time and resources.
Remark 3.1 The system of equations (16) or (17) has no repeating computation and is different from the existing POD-based reduced-order numerical computational methods (see, e.g., [14 20, 22 31]) based on POD technique.
The computation is performed at two repeated computation stages.
Numerical integrations in celestial mechanics often involve the repeated computation of a rotation with a constant angle.
Third, to avoid the repeated computation of sub-voxel intensity interpolation coefficients, an interpolation coefficient lookup table is established for tricubic interpolation.
Especially, it has no repeated computation and only employs the first few L given solutions of Problem IV to obtain (n>L) other solutions.
Deducting the repeated computation of 16.262 billion m3, the average total water resources of the whole province is 81.033 billion m3, which are below the national average.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com