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The regression-based dimension variation model can significantly reduce computation time by eliminating the complicated, time-consuming finite element meshing, material parameter defining and evaluation solving process, which provides a quick design guide for composite products with reduced dimension variations.
Shared themes of material properties of these 2D crystals are the semimetal to semiconductor transition with reduced dimension with variable gap size through strain and other parameters [209, 210] and the diverse topological phases that is particularly pronounced for antimonene and bismuthene [210, 211].
A new approach, two level simulation (TLS), is developed based on the explicit reconstruction of the small-scale velocity by solving the small-scale governing equations on the domain with reduced dimension representing a collection of one-dimensional lines embedded in the three-dimensional flow domain.
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Application of such materials allows engineers to create engines with reduced dimensions and increased durability.
It is clear that we can recover the original sparse vector in the matrices with reduced dimensions.
Mathematical models and solution procedures using simplified models with reduced dimensions have been proposed to address this issue.
Each sub-circuit contributes to a set of Jacobian matrices with reduced dimensions that are more efficiently LU-factorised during the iterations of the solving methods.
Among the several processes employed to manufacture components with reduced dimensions, the cutting in micro-scale is one of the most used in modern industries.
Magnetic nanoparticles with diameters less than 100 nm have attracted increasing interest as particles in this size range may allow investigation of fundamental aspects of magnetic ordering phenomena in magnetic materials with reduced dimensions and could lead to new technological applications [1 5].
Formation of square-shaped macropores (average width of 1.5 μm) and the presence of a structural gradient, i.e., denser and larger macropores, were found close to the anodic region while a decreased number of macropores with reduced dimensions (approximately 500 nm) were observed close to the cathode.
PCA analysis is an unsupervised clustering method aiming at summarizing data with reduced dimensions.
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