simpeg.electromagnetics.frequency_domain.Simulation3DMagneticFluxDensity.getA#
- Simulation3DMagneticFluxDensity.getA(freq)[source]#
System matrix for the frequency provided.
This method returns the system matrix for the frequency provided:
\[\mathbf{A} = \mathbf{C M_{e\sigma}^{-1} C^T M_{f\frac{1}{\mu}}} + i\omega \mathbf{I}\]where
\(\mathbf{I}\) is the identity matrix
\(\mathbf{C}\) is the curl operator
\(\mathbf{M_{e\sigma}}\) 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
Simulation3DMagneticFluxDensity
for a full description of the formulation.- Parameters:
- freq
float
The frequency in Hz.
- freq
- Returns:
- (
n_faces
,n_faces
)sp.sparse.csr_matrix
The system matrix.
- (