Sentence examples for be a regular triangulation from inspiring English sources
Let T h be a regular triangulation of Ω, such that Ω ¯ = ⋃ τ ∈ T h τ ¯.
Let T h be a regular triangulation of Ω, so that Ω ¯ = ⋃ K ∈ T h K ¯.
Let T be a regular triangulation of Γ.
Let T ∈ T be a regular triangulation, and let E (T ) denote the set of element facets.
Let T ℓ be a regular triangulation of Ω into triangles which is obtained by adaptive local refinement of an initial triangulation T 0. Then, E ℓ Γ = T ℓ | Γ denotes the induced partition of Γ, i.e. the set of all boundary edges.
It has already been proved in [37] that problem (2) is well-posed on the continuous level, i.e. it admits a unique solution u = (u, ϕ ) ∈ H. Let T ℓ be a regular triangulation of Ω into triangles T j ∈ T ℓ and E ℓ Γ a partition of the coupling boundary Γ into piecewise affine line segments E j ∈ E ℓ Γ. Throughout, the index ℓ ∈ N 0 indicates the current step of the adaptive loop considered below.
Let { T h } be a regular system of triangulations of Ω ¯.
Let τ h be a regular and quasi-uniform triangulation of Ω consisting of triangles of diameter less than h.
If (Im_{h}) is a uniformly regular triangulation, even though (S_{hm}(Omega)) is the spaces of piecewise linear polynomials, i.e., (m=1), the number of total degrees of freedom for Problem III on each time level is (N_{h}times l) (where (N_{h}) is the number of vertices of triangles in (Im_{h})).
To introduce the finite element discretization of (2.1), we assume (mathcal{T}^{mu}(Omega)={K}) (here (mu =H,h) with (Hgg h)) to be a shape-regular triangulation of Ω into triangles or quadrilaterals (if (d=2)), or tetrahedrons or hexahedrons (if (d=3)) with mesh size (0
