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It is shown that this strategy is essential not only to ensure the geometric consistence in the simultaneous design process but also to hold the shape-preserving of the mapped FE mesh from reference domains.
Vocabulary works like The Art and Architecture Thesaurus (AAT), the Union List of Artists Names (ULAN), The Getty Thesaurus of Geographic Names, and databases like The Getty Provenance Index, and the Bibliography of the History of Art (BHA) have all encountered the new digital reference domains and flourished, but in ways that no one imagined before the Internet.
One key benefit of a reliable set of reference domains is in similarity searches where the reference domains can be used as a query.
Such reference domains are usually obtained from existing databases like SCOP [5] or CATH [6].
Additionally, Domak uses secondary structure packing and statistical parameters derived from a set of reference domains, as described in literature, for domain delineation.
"Public Health", "Medicine" and "Surgery" (all MeSH Major Topic) were selected as well known reference domains.
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These peculiar shapes can be taken into account to describe the reference domain of several nanoplates, where a nanoplate refers to a flat structure reinforced with Carbon Nanotubes (CNTs).
An orthogonal mapping from the physical domain to a reference domain is employed, which is determined as the solution to a pair of elliptic partial differential equations.
All computations are conducted in a physical domain rather than in a reference domain, and the basis functions move with the grid movement.
To incorporate the motion of the domain, we use an arbitrary Lagrangian-Eulerian formulation to map the governing equations to a fixed reference domain.
Our condition enables to guarantee that an element is geometrically valid, i.e., that its Jacobian determinant is strictly positive everywhere in its reference domain.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com