Sentence examples for refined element from inspiring English sources

Suppose that there exists a contraction constant 0 < ρ refine < 1 (which depends only on T ), such that all successors T ^ ∈ T ^ of a refined element T ∈ T ∖ T ^ satisfy (8.1) | T ^ | ≤ ρ refine | T |.

The proof relies on discrete bubble functions and thus required an interior node property of the local mesh-refinement, which is ensured by newest vertex bisection and five bisections for each refined element.

It has that Italianate sleek and refined element to it but underneath, it's very playful.

A new technique is proposed for developing refined element equations for structures for use in dynamic finite element analysis.

Transverse displacement functions satisfying C0 and C1 weak-continuity between elements are derived based on the refined element methods.

An element with adaptive partitioning capabilities is designed such that it can be formulated as a master element, a refined element and a coarsened element, depending on the damage state in the progressive damage process.

Throughout, we assume that mesh-refinement is based on bisection only, i.e., refined elements are bisected into two sons of half length.

Examinations of Monte Carlo simulations are said to require at least a 20-axis MPG to measure FA values and a 30-axis MPG to obtain more refined elements of the tensor [ 40].

The definition of the above algorithm implies the existence of consecutively refined elements T ′ = T 0 ′ ⫌ T 1 ′ ⫌ ⋯ ⫌ T c (T ′ ) ′ with T i ′ ∈ ω k (T ℓ + m i ; T ).

Suppose that there exist consecutively refined elements T ′ = T 0 ′ ⫌ T 1 ′ ⫌ ⋯ ⫌ T N ′ with  T i ′ ∈ ω k (T ℓ + m i ; T )  for all  i = 0, …, N with a strictly monotone sequence m i + 1 > m i > m 0 = 0, i = 0, …, N − 1 (Note that, in particular T ∈ T ℓ + m i for all i = 0, …, N .. Assumption  (8.1) implies h (T ℓ + m N ) | T N ′ ≤ ρ refine N h (T ) | T 0 ′.

The decision to refine elements or items of an instrument or develop new items depends on knowing which are performing poorly.