Sentence examples for estimates were established for from inspiring English sources

In this paper a posteriori error estimates were established for time-dependent convection diffusion optimal control problems by the elliptic reconstruction technique.

The error estimates are established for two kinds of nonuniform meshes.

Using Rademacher type, maximal estimates are established for k-sublinear operators with values in the space of measurable functions.

A posteriori error estimates are established for the finite element approximation solutions in Section 3.

Further, optimal error estimates are established for the semi-discrete scheme.

Furthermore their finite element approximation and a priori error estimates were established long ago, for example, see [1] [7], [9].

The theoretical estimates of transformation strains were established for Type I and Type II twinning cases to cover all possible habit plane and twin systems.

Regression models were established for estimating the edge thickness, deflection, and maximum radius of the sealed part, which were considered as shape parameters.

Fixed dates were established for trials.

Public schools were established for black children.

The dual mixed finite element approximation of unilateral contact problems has been studied by Wang and Yang (2009), a priori error estimates have been established for both conforming and nonconforming finite element approximations based on the dual mixed variational formulation with three unknowns, and a Uzawa type iterative algorithm was developed to solve the resulting linear system.