Sentence examples for approximation element from inspiring English sources

Therefore, there is a best approximation element of x in Y. Thus, Y is proximinal in X. □.

By the assumption, we know that there is a g in L φ ( A, Y ) which is a best approximation element of f.

However, when a non-smooth artificial viscosity model is employed with an otherwise higher-order approximation, element-to-element variations induce oscillations in state gradients and pollute the downstream flow.

We provide a description of the positive local operator multipliers in terms of approximation by elements of canonical positive cones.

Besides, the meshless method based on the moving least-squares (MLS) approximation and element-free Galerkin (EFG) method is implemented to evaluate the established model.

Converse theorems for approximation by elements of (mathbb{G }_j) can be obtained using Corollary 4.3, cf. [12, Theorem 9.1, also Chapter 6.7].

In order to consider the error estimate, we first introduce a finite element approximation projection for a steady-state problem.

A posteriori error estimates and adaptive finite element approximation for parameter estimation problems have been obtained in [7, 8].

The finite element approximation of the reduced problem is considered and we can prove that the finite element approximation is well posed.

In this paper, we use the hp finite element approximation for both the state and the co-state variables and the hp discontinuous Galerkin finite element approximation for the control variable.

We first analyze the standard mixed finite element approximation schemes.