adjoint variable

[′aj‚ȯint ′ver·ē·ə·bəl]

(physics)

In classical dynamics, the canonically conjugate p_i interpreted as generalized momenta.

References in periodicals archive ?

The information of differential equations (18) is attached onto the minimization of the objective functional by adjoint variable [lambda].

Application and Optimal Control for an HBV Model with Vaccination and Treatment

We denote the adjoint variable by [p.sup.(3)] in the third interval, by [p.sup.(2)] in the second interval, and by [p.sup.(3)] in the first interval.

IMPULSIVE CONTROL PROBLEM GOVERNED BY FRACTIONAL DIFFERENTIAL EQUATIONS AND APPLICATIONS

An additional argument holds the adjoint variable of the result of the function.

Recipes for Adjoint Code Construction

If [lambda](t) solved for the time series group (i.e., the transient Adjoint variable), the design variable sensitivity ([[alpha].sub.k] differentiation) forms the remaining terms of Equations (6) and (7) and can be calculated by the following arithmetic computation (time integration).

Development of CFD Inverse Analysis Technology Using the Transient Adjoint Method and Its Application to Engine In-Cylinder Flow

And we define the state and adjoint variable S(t), I(t), T(t), R(t), [[lambda].sub.1], A,f,f and the control u and v in terms of nodal points [S.sub.i], [I.sub.i], [T.sub.i], [R.sub.i], [[lambda].sup.i.sub.1], [[lambda].sup.i.sub.2], [[lambda].sup.i.sub.3], [[lambda].sup.i.sub.4], [u.sup.i] and [v.sup.i].

Application of optimal control theory to a mathematical model of alcohol abuse with education campaign and a therapeutic treatment

Then there exists a piecewise differentiable adjoint variable .

REVIEW OF FORWARD BACKWARD SWEEP METHOD FOR BOUNDED AND UNBOUNDED CONTROL PROBLEM WITH PAYOFF TERM

In this paper, computational methods for sensitivity matrix are discussed and a novel sensitivity based damage detection method in time-domain referred to as "Adjoint variable method," is developed.

Damage detection of bridges using vibration data by adjoint variable method

The Adjoint variable method (AVM) has been proposed for the acceleration of derivative-based optimization of microwave devices [28].

An impulse sampling approach for efficient 3D TLM-based adjoint sensitivity analysis

Adjoint variable method for the thermal design of eutectic directional solidification processes in an open-boat configuration, -Numer.

Effect of sensor locations on the solution of inverse Stefan problems/ Sensoriaus padeties itaka atvirkstines Stefano problemos sprendimui

Assuming sufficient smoothness, the design sensitivity of F with respect to the design variable [[phi].sub.i] may be calculated via the adjoint variable method (see, e.g., Ref.

Optimization-based design of polymer sheeting dies using generalized Newtonian fluid models

Sincethestatevariableisstochastic, thereisapair of processes in the adjoint variable, one of which multiplies the diffusion of the state and another the drift.

A Solvable Dynamic Principal-Agent Model with Linear Marginal Productivity

where L(C, I, [u.sub.1], [u.sub.2], [u.sub.3], t) = [b.sub.1]C + [b.sub.2]I + (1/2) [[summation].sup.3.sub.=1] [w.sub.i][u.sup.2.sub.i], [[lambda].sub.1], [[lambda].sub.2], [[lambda].sub.3], [[lambda].sub.4], and [[lambda].sub.5] are the adjoint variable functions.

Modelling and Optimal Control of Typhoid Fever Disease with Cost-Effective Strategies