Sentence examples for elements for refinement from inspiring English sources

Given the current adapted mesh, a criterion for selecting candidate elements for refinement and coarsening is adopted based on the locally largest value of the density gradient.

By means of this property, it is shown that the Dörfler marking strategy used to single out the elements for refinement, is not only sufficient for linear convergence  (1.3), but in some sense even necessary.

He implicitly introduced the concept of separate Dörfler marking: If the data oscillations osc (T ℓ ; U (T ℓ ) ) are small compared to the error estimator η (T ℓ ; U (T ℓ ) ), he used the common Dörfler marking  (2.5) to single out the elements for refinement.

To single out the elements T for refinement of the adaptively generated meshes T ℓ, the Dörfler marking strategy  [11] determines a set M ℓ ⊆ T ℓ of minimal cardinality such that (1.1) θ η (T ℓ ; U (T ℓ ) ) 2 ≤ ∑ T ∈ M ℓ η T (T ℓ ; U (T ℓ ) ) 2 for some fixed bulk parameter 0 < θ < 1.

(v) Mark triangles T ∈ T ℓ ∩ M ℓ and boundary elements E ∈ E ℓ Γ ∩ M ℓ for refinement.

While Toyota aims for refinement, Nissan emphasizes machismo.

Still, he suggested, there is room for refinement.

Ives had no patience for refinement and sumptuousness.

Some needs for refinement were noted.

Projection matching can be used for refinement.

See Table 1 for refinement statistics.