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This paper presents an inversion method based on direct integration of magnetic fields in the time domain, and using the adjoint solution for fast evaluation of data sensitivities to model perturbations.
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The optimization problem is analyzed using the adjoint method to obtain the adjoint sensitivity.
The corresponding sensitivity number is derived using the adjoint method.
Sensitivities are evaluated by using the adjoint method.
Implementation of the discrete adjoint method is validated by comparing sensitivity derivatives obtained using the adjoint technique with results obtained using direct-differentiation and finite-difference methods.
The dependence of the objective function on the design variables is incorporated using the adjoint technique.
We also present a rigorous method of computing the Fréchet derivative using the adjoint operators.
Sensitivity analysis of the general displacement functional is derived using the adjoint method.
In this work, all sensitivities are computed analytically using the adjoint variable method.
For each objective function (e.g., the amplitude peak of the aeroelastic blade motion), the resulting adjoint equations are solved using the adjoint Lax-Wendroff scheme, which is also accelerated using a multigrid technique.
For each objective function (e.g. the amplitude peak of the aeroelastic blade motion), the resulting adjoint equations arc solved using the adjoint Lax-Wendroff scheme, which is also accelcrated using a multigrid technique.
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