SimPEG.electromagnetics.time_domain.Simulation3DMagneticField.Jtvec

Simulation3DMagneticField.Jtvec(m, v, f=None)

Jvec computes the adjoint of the sensitivity times a vector

\[\mathbf{J}^\top \mathbf{v} = \left( \frac{d\mathbf{u}}{d\mathbf{m}} ^ \top \frac{d\mathbf{F}}{d\mathbf{u}} ^ \top + \frac{\partial\mathbf{F}}{\partial\mathbf{m}} ^ \top \right) \frac{d\mathbf{P}}{d\mathbf{F}} ^ \top \mathbf{v}\]

where

\[\frac{d\mathbf{u}}{d\mathbf{m}} ^\top \mathbf{A}^\top + \frac{d\mathbf{A}(\mathbf{u})}{d\mathbf{m}} ^ \top = \frac{d \mathbf{RHS}}{d \mathbf{m}} ^ \top\]