A structure-preserving optimal control method for time-dependent Maxwell's equations is introduced using Nedelec-Raviart-Thomas finite elements and Crank-Nicolson stepping that maintains de Rham structure, enforces Gauss law and energy balance, with proofs of well-posedness and convergence applied,
Optimal control of the full time-dependent Maxwell equa- tions.ESAIM: Mathematical Modelling and Numerical Analysis, 50(1):237–261
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Structure-Preserving Optimal Control of Maxwell's Equations with Applications to Source Cloaking
A structure-preserving optimal control method for time-dependent Maxwell's equations is introduced using Nedelec-Raviart-Thomas finite elements and Crank-Nicolson stepping that maintains de Rham structure, enforces Gauss law and energy balance, with proofs of well-posedness and convergence applied,