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,
Inverse problems for abstract evolution equations with applications in electrodynamics and elasticity.Inverse Problems, 32(8):085001, 24, 2016
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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,