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Third, internal ohmic loss is accounted for by solving the representative electrical network circuit.
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The representative nodes were selected by solving the distortion function at the sink node, which also performed the signal estimation.
The cost-effective HEN structure in this representative sub-period can be obtained by solving the single-period HEN synthesis problems, and the operational parameters are then optimized to meet the requirements of other non-representative sub-periods on the fixed HEN structure achieved by the former step.
Formally, the C class representatives { f̂ 1, …, f̂ C } induce a partitioning on s x given by The C class representatives { f̂ 1, …, f̂ C } are determined by solving the minimum problem which can be formulated as a global minimum problem of a cost function.
A parameter fitting procedure based on experimental data for single crystalline response, taken from the literature, is detailed and the material model as well as the algorithmic scheme are verified by solving representative boundary value problems.
Second, the effective properties of the membranes are obtained by an a homogenisation approach with multiple scale asymptotic expansions written in the framework of hyperelasticity and by solving localisation problems on Representative Elementary Volumes with a finite element software.
Multiscale numerical analysis for sound absorption was carried out by solving flow problems in representative unit cell (RUC) and the pressure acoustics equation using Johnson-Champoux-Allard (JCA) model.
The basis pursuit algorithm is also a representative algorithm solving the problems by replacing the l 0-norm with an l 1-norm[60].
This system can be solved by solving first the field Eq. (20).
By solving (10), the two problems above can be solved well.
These coefficients can be evaluated by solving closure problems over a representative unit-cell.
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