simpeg.electromagnetics.frequency_domain.Simulation3DElectricField.getA#

Simulation3DElectricField.getA(freq)[source]#

System matrix for the frequency provided.

This method returns the system matrix for the frequency provided:

\[\mathbf{A} = \mathbf{C^T M_{f\frac{1}{\mu}} C} + i\omega \mathbf{M_{e\sigma}}\]

where

  • \(\mathbf{M_{e\sigma}}\) is the inner-product matrix for conductivities projected to edges

  • \(\mathbf{M_{f\frac{1}{\mu}}}\) 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.