simpeg.electromagnetics.frequency_domain.Simulation3DMagneticField.getA#

Simulation3DMagneticField.getA(freq)[source]#

System matrix for the frequency provided.

This method returns the system matrix for the frequency provided. The system matrix at each frequency is given by:

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

where

  • \(\mathbf{M_{f\rho}}\) is the inner-product matrix for resistivities projected to faces

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

See the Notes section of the doc strings for Simulation3DMagneticField 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.