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The solution is based on the continuous formulation and the Euler Bernoulli beam theory.
Generalized SLW modelling using these moments including both discrete gray gases and the continuous formulation is presented.
It requires a fast contact search algorithm and an exact continuous formulation to solve the problem robustly.
Two formulations – a discrete formulation and a continuous formulation – are developed for the energy criterion within the Coupled Criterion.
We present a variational framework for shape optimization problems that establishes clear and explicit connections among the continuous formulation, its full discretization and the resulting linear algebraic systems.
On the other hand, it is also shown that the continuous formulation may be used down to relatively low sampling rates, provided the filter parameters are adjusted appropriately.
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Some dependences between the two formulations are proved, which justifies the good agreement found by the models based on continuous formulations presented by other authors despite the inherent discrete nature of the phenomenon.
When used with complex distillation units, it can identify interesting design configurations not considered by other continuous formulations, and also relieve some of the numerical difficulties associated with the use of distribution functions for the optimal location of feed and side-streams.
Most of the proposed models [3] [14] employ a control mechanism of cellular growth via artificial gene regulatory networks (GRNs) that abstract biological gene regulatory networks using discrete or continuous formulations, and most implementations are unique.
The new continuous time formulation facilitates analytical treatment thus allowing us to examine the structure of the model more closely.
A continuous adjoint formulation for inverse design problems in external aerodynamics and turbomachinery is presented.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com