adjoint variable

adjoint variable

[′aj‚ȯint ′ver·ē·ə·bəl]
(physics)
In classical dynamics, the canonically conjugate pi interpreted as generalized momenta.
References in periodicals archive ?
Adjoint variable method for the thermal design of eutectic directional solidification processes in an open-boat configuration, -Numer.
i] may be calculated via the adjoint variable method (see, e.
where the adjoint variable vector [lambda] is computed from the linear system of equations [17]
The adjoint variable method is computationally efficient since it only requires the evaluation of one linear adjoint problem defined by Eq.
i]] are computed, the adjoint variable vector [lambda] is obtained with Eq.
This, on one hand, provides a closed-form expression for the optimal input as a function of the state and adjoint variables, which will be used in solution methods based on shooting.
The solution to the optimization problem is made easier by introducing the Hamiltonian's function, H, which is a function of the adjoint variables, [lambda], which are functions of time.
f] of the adjoint variables are known and they must be zero.
The adjoint variables are the Lagrange multipliers, which are dependent upon time and independent of the state variables.