Sentence examples for using an adjoint equation from inspiring English sources

Using an adjoint equation we implement a gradient algorithm for the minimization of the objective function.

The proposed parametrisation method is applied to the redesign of the wing fuselage junction of the DLR-F6 model using an adjoint solver based on Reynolds-averaged Navier Stokes equations.

The adjoint variable is obtained from structural reanalysis using an adjoint load composed of the system matrix and an evaluation of the wave functions of each boundary.

The iterative optimization procedure consists of calculation of nonlinear normal modes, solving an adjoint equation system for sensitivity analysis and an update of design variables using a mathematical programming tool.

Our approach is based on constructing an adjoint equation for and proving that and its adjoint equation have the same number of linearly independent periodic solutions.

Our approach is based on constructing an adjoint equation for (4) with respect to a discrete analog for function (3) and proving that (4) and its adjoint equation have the same number of linearly independent periodic solutions.

Lemma 2.1 which introduces the main result of this section is needed to define an adjoint equation for (4).

The proposed norm-oriented formulation extends the goal-oriented formulation since it is equation-based and uses an adjoint.

The single-shooting algorithm uses an adjoint method for the computation of gradients.

We use the adjoint equation (5.2) of (1.4) to give detail expression for (4.1).

The design sensitivities are derived based on the adjoint lattice Boltzmann method (ALBM), whose basic idea is that the adjoint problem is first formulated using a continuous adjoint approach, and the adjoint problem is then solved using the LBM.