# SimPEG.electromagnetics.frequency_domain.Simulation3DElectricField#

class SimPEG.electromagnetics.frequency_domain.Simulation3DElectricField(mesh, survey=None, forward_only=False, **kwargs)[source]#

By eliminating the magnetic flux density using

$\mathbf{b} = \frac{1}{i \omega}\left(-\mathbf{C} \mathbf{e} + \mathbf{s_m}\right)$

we can write Maxwell’s equations as a second order system in $$\mathbf{e}$$ only:

$\left(\mathbf{C}^{\top} \mathbf{M_{\mu^{-1}}^f} \mathbf{C} + i \omega \mathbf{M^e_{\sigma}} \right)\mathbf{e} = \mathbf{C}^{\top} \mathbf{M_{\mu^{-1}}^f}\mathbf{s_m} - i\omega\mathbf{M^e}\mathbf{s_e}$

which we solve for $$\mathbf{e}$$.

Parameters

mesh (discretize.base.BaseMesh) – mesh

Methods

 fieldsPair getA(freq) System matrix getADeriv_mui(freq, u, v[, adjoint]) Product of the derivative of the system matrix with respect to the permeability model and a vector. getADeriv_sigma(freq, u, v[, adjoint]) Product of the derivative of our system matrix with respect to the conductivity model and a vector getRHS(freq) Right hand side for the system getRHSDeriv(freq, src, v[, adjoint]) Derivative of the Right-hand side with respect to the model.