Sentence examples for update formulations from inspiring English sources

A numerical illustration is presented which draws comparisons with existing stress update formulations in the literature and shows the superior capabilities of the proposed developments.

In regards to the development of stress update formulations, a second-order accurate stress update formulation for the corotational stress rate hypoelasticity, and an exact stress update formulation for the logarithmic stress rate hypoelasticity are proposed.

The primary objectives of the present exposition focus on the applicability of corotational stress rate hypoelasticity models and the design leading to new stress update formulations for subsequent applications.

ELCI is an iterative approach, where the constraints are handled alternately based on the special property of the optimal solution, with a particular power update formulation based on the KKT conditions of the problem.

Using the classical undamped modes and a special low-rank matrix update formulation of the problem, the original Quadratic Eigenproblem (QEP) is hugely deflated, without approximations, to an equivalent Rational Eigenproblem (REP) of dimension r ≪ n (Theorem 2), as an alternative to the linearized Standard Eigenproblem of order 2n over the complex field.

Nonlinear solution of the equations was found by iteration using the successive over-relaxation (SOR) update formulation and a Red-Black node ordering [77].

Nonlinear solution of the equations was found by iteration using the successive over-relaxation (SOR) update formulation and a Red-Black node ordering [ 55].

Another novelty is to enhance the two well-known model updating formulations for achieving more appropriate updating results.

Under dynamic discrepancy theory, the mass and stiffness orthogonality conditions are independently expanded to establish two model updating formulations.

We examine different model updating formulations, e.g. calibration and bias-correction, as well as different solution methods.

Using the benchmark thermal challenge problem as an example, we study several possible model updating formulations using the proposed methodology.