SimPEG.electromagnetics.natural_source.Simulation3DPrimarySecondary.getADeriv_sigma#

Simulation3DPrimarySecondary.getADeriv_sigma(freq, u, v, adjoint=False)[source]#

Product of the derivative of our system matrix with respect to the conductivity model and a vector

$$\frac{\mathbf{A}(\mathbf{m})\mathbf{v}}{d{\mathbf{m}}_{\sigma }}=i\omega \frac{d{\mathbf{M}}_{\sigma }^{\mathbf{e}}(\mathbf{u})\mathbf{v}}{d\mathbf{m}}$$

Parameters:

• freq (float) – frequency

• u (numpy.ndarray) – solution vector (nE,)

• v (numpy.ndarray) – vector to take prodct with (nP,) or (nD,) for adjoint

• adjoint (bool) – adjoint?

Return type:

numpy.ndarray

Returns:

derivative of the system matrix times a vector (nP,) or adjoint (nD,)