Optimal control of maxwell equation
WebThis paper is devoted to an optimal control problem of Maxwell's equations in the presence of pointwise state constraints. The control is given by a divergence-free three-dimensional … WebThis paper is organized as follows: The optimal control problem will be stated in section 2 with the optimality conditions being given in subsection 2.1 in terms of the state, the adjoint state, the control, and the Lagrangian multiplier.
Optimal control of maxwell equation
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WebFeb 15, 2024 · In order to design the two dimensional (2D) invisibility cloaks with metamaterials, we have to solve the Maxwell’s equations, which in the frequency domain … WebIn this paper, we consider optimal control problems associated with a class of quasilinear parabolic equations, where the coefficients of the elliptic part of the operator depend on the state function. We prove existence, uniqueness and regularity for the solution of the state equation. Then, we analyze the control problem. The goal is to get first and second order …
WebThis note is concerned with an optimal control problem governed by the relativistic Maxwell--Newton--Lorentz equations, which describe the motion of charged particles in electro-magnetic fields and consists of a hyperbolic PDE system coupled with a nonlinear ODE. An external magnetic field acts as control variable. Additional control constraints are … WebAug 7, 2006 · The numerical realization of closed loop control for distributed parameter systems is still a significant challenge and in fact infeasible unless specific structural techniques are employed. In this paper we propose the combination of model reduction techniques based on proper orthogonal decomposition (POD) with the numerical …
WebThis paper focuses on the numerical analysis for three-dimensional Bean's critical-state model in type-II superconductivity. We derive hyperbolic mixed variational inequalities of the second kind for the evolution Maxwell equations with Bean's constitutive law between the electric field and the current density. On the basis of the variational inequality in the …
WebExploring the behaviour of this model using Metropolis dynamics, Master Equations, and applying the leading theory to estimate the optimal …
WebAug 1, 1995 · Exact boundary controllability of Maxwell's equations in a general region J. Lagnese Mathematics 1989 By the Hilbert uniqueness method, it is proved that the evolution of solutions of Maxwell’s equations in a general region can be exactly controlled by means of currents flowing tangentially in the… Expand 82 how many allergenic substances are thereWebOptimal control problems are considered for transient magnetization processes arising from electro- magnetic ow measurement. The magnetic elds are generated by an induction coil and are de ned in 3D spatial domains that include … high on life last bossWebHere, the Vlasov equation is (1.1a) and the Maxwell equations of electrodynamics are (1.1b) to (1.1e). Vlasov and Maxwell equations are coupled via (1.1f) and (1.1g) rendering the whole system nonlinear due to the product term (E+ pb B) @ pf. In particular, f= f(t;x;p) denotes the density of the particles on phase space, and how many alleles make up a gene for a traitWebThe Maxwell equations are solved by a long-stencil fourth order finite difference method over a Yee grid, in which different physical variables are located at staggered mesh points. A careful treatment of the numerical values near the boundary is introduced, which in turn leads to a "symmetric image" formula at the "ghost" grid points. high on life last lugloxWebDec 3, 2024 · This paper analyzes the optimal control of the full time-dependent Maxwell equations. Our goal is to find an optimal current density and its time-dependent … high on life launch dateWebanalysis, using reduced basis method, for the optimal control problem governed by stationary Maxwell’s system with the Gauss’s law as constraints. We discretize these equations using a nite element method and carry out a variational discretization for the control. The nite element system for the PDE is high on life lava wallsWebJun 5, 2024 · In this article, we investigate a stochastic Galerkin method for the Maxwell equations with random inputs. The generalized Polynomial Chaos (gPC) expansion technique is used to obtain a deterministic system of the gPC expansion coefficients. The regularity of the solution with respect to the random is analyzed. On the basis of the … how many allergens are there uk