simpeg.electromagnetics.natural_source.Simulation3DPrimarySecondary.getA#

Simulation3DPrimarySecondary.getA(freq)[source]#

System matrix for the frequency provided.

This method returns the system matrix for the frequency provided:

$$\mathbf{A}={\mathbf{C}}^{\mathbf{T}}{\mathbf{M}}_{\mathbf{f}\frac{\mathbf{1}}{\mu }}\mathbf{C}+i\omega {\mathbf{M}}_{\mathbf{e}\sigma }$$

where

• ${\mathbf{M}}_{\mathbf{e}\sigma }$ is the inner-product matrix for conductivities projected to edges

• ${\mathbf{M}}_{\mathbf{f}\frac{\mathbf{1}}{\mu }}$ is the inner-product matrix for inverse permeabilities projected to faces

See the Notes section of the doc strings for Simulation3DElectricField for a full description of the formulation.

Parameters:

freqfloat

The frequency in Hz.

Returns:

(n_edges, n_edges) sp.sparse.csr_matrix

The system matrix.