Sentence examples for be the finite element from inspiring English sources

Similarly, let ω h ∈ K h be the finite element counterpart of ω, that is, b ( ω h, v − ω h ) ≧ ( g, v − ω h ) ∀ v ∈ K h.

Under the hypotheses of Lemma  1, let (bar{u}in H_{h}) be the convergence function of (u_{k}), and (u^in H_{h}) be the finite element solution of Problem  II.

end{aligned} The other extreme situation is that vert nabla w_{0} vert ll vert nabla u_{k} vert ^{p-2}, (3.5) where (u_{k}) cannot be the finite element solution of Problem II according to (3.2).

We define S : R m → R n + k to be the finite element solution operator that assigns to each coefficient ℓ h ∈ A h the unique approximate solution u h = ( u ¯ h, p h ) ∈ U h × Q h.

For regular triangulations of (Omega=[0,2pi]), if the piecewise polynomial space (V^{k}_{h}) ((kgeq1)) is chosen to be the finite element space, there exists a positive constant (h_{0}), such that, for any (h< h_{0}), we have |xi_{u}|leqmathcal{C}_h^{k+3/2}, (3.36) where the positive constant (mathcal{C_) is independent of h, but maybe depends on u, f and T. Recall inequality (3.19).

The discretization method in space is the finite element method.

Quite common is the finite element description of structures of solid materials.

A common technique for modeling complex systems in many computational engineering domains is the finite element method.

Hence, most of the available solutions are based on approximate methods, the most commonly used method being the finite element analysis.

Many computational techniques have been used in this field, but the one that emerged by the end of 1970s as, by far, the most widely adopted is the finite-element method.

The underlying simulation procedure is the Finite-Element-Method, which is standard in engineering analyses.