Optimal control of maxwell equation

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August undefined, 2024

WebJun 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 … 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 …

[PDF] Optimal control of Maxwell’s equations with regularized stat…

WebSep 26, 2024 · Optimal Control of the Two-Dimensional Vlasov-Maxwell System. Jörg Weber. The time evolution of a collisionless plasma is modeled by the Vlasov-Maxwell system … WebFeb 25, 2024 · In papers [ 10, 11 ], an optimal difference scheme was proposed for solving the two-dimensional wave equation and the two-dimensional Maxwell equations on the … dwh03bh

Optimal control of some quasilinear Maxwell equations of …

Webdynamics based on the self-consistent Vlasov Maxwell equations and arguments from optimal control theory is considered. An interesting property of Maxwell equations rst … WebFor optimal control problems of the system coupled by Maxwell’s equations with nonlinear heat equation in microwave heating, there are several papers dealing with in recent years. Wei and Yin [7] discussed the existence and necessary conditions of the optimal control on the boundary electric ﬁeld control. WebHere, 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 … dwh0805

Optimal control of magnetic fields in flow measurement

Adaptive edge element approximation of H(curl)-elliptic …

WebDec 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 … WebDec 1, 2024 · AbstractIn this paper we discuss the optimal control of a quasilinear parabolic state equation. Its form is leaned on the kind of problems arising for example when controlling the anisotropic Allen–Cahn equation as a … dwh04a0WebJun 27, 2024 · The mathematical model for the time optimal control problem ( P) of microwave heating is formulated, in which the governing equations of the controlled system are the weak coupling system of Maxwell equations and the heat equation. dwh01/reports/pages/folder.aspx

"WebCONTROL OF QUASILINEAR MAXWELL EQUATIONS 1379 in the distributional sense. This means that u belongs to D(A) and satisﬁes u + A(u) = f. Corollary2.5. D(A) isdenseinH. … " - Optimal control of maxwell equation

Optimal control of maxwell equation

Applied Mathematics & Optimization Volume 88, issue 1 - Springer

WebOPTIMAL CONTROL OF PARAMETERIZED STATIONARY MAXWELL’S SYSTEM 5 For any xed 2P, due to the connectedness of the boundary @, we have f˝2V( ) jr ˝= 0g = ˝2L2() r ˝˝˝= 0; … 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

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WebJun 1, 2024 · Optimal control theory is concerned with finding control functions that minimize cost functions for systems described by differential equations. The methods have found widespread applications in… 1,313 PDF Optimal control of the full time-dependent maxwell equations Vera Bommer, I. Yousept Mathematics 2016 WebAbstract and Figures This 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 …

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 … Web20 rows · We consider an optimal control problem governed by parameterized stationary Maxwell's system ...

Weba semilinear parabolic equation with scalar control applied on the r.h.s. We ob-tain in particular an extension of Kelley’s condition, and the characterization of a quadratic growth property for a weak norm. Keywords parabolic equation, optimal control, singular arc, second order optimal-ity conditions, characterization of quadratic growth. 1 ... WebApr 12, 2024 · A Splitting Method for the Allen-Cahn/Cahn-Hilliard System Coupled with Heat Equation Based on Maxwell-Cattaneo Law Authors. Nader El Khatib ... – \(L_q\)-Theory for a Quasilinear Non-isothermal Westervelt Equation Authors. Mathias Wilke; Content type: OriginalPaper ... Optimal Distributed Control of Two-Dimensional Navier–Stokes–Cahn ...

WebJul 20, 2011 · This 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 Optimal control of Maxwell’s equations with regularized state constraints SpringerLink

WebThrough the use of the Maxwell theory, the semigroup theory, Helmholtz decomposition, and results on maximal monotone operators, we develop a mathematical theory including an … dwh04c0 merlynWebanalysis, 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 crystal henge afflecksWebSep 1, 1997 · We present an iterative domain decomposition method to solve the Helmholtz equation and related optimal control problems. The proof of convergence of this method relies on energy techniques. ... Implementation of a non overlapping domain decomposition method on a Cray t3d, for solving the 3d harmonic Maxwell's equations, International … crystal hengeWebOptimal 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 … crystal henri bourassaWebThis paper examines the mathematical and numerical analysis for optimal control problems governed by quasilinear H ( c u r l) -elliptic partial differential equations. We consider a … crystal henning edward jonesWebGalerkin spectral approximation for optimal control problem of a fourth-order equation with L2-norm control constraint. International Journal of Computer Mathematics, Vol. 99, Issue. 7, p. 1344. International Journal of Computer Mathematics, Vol. 99, Issue. 7, p. 1344. dwh10a1 取扱説明書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. crystal henner