simpeg.electromagnetics.time_domain.Simulation3DElectricField.getAdiag#

Simulation3DElectricField.getAdiag(tInd)[source]#

Diagonal system matrix for the time-step index provided.

This method returns the diagonal system matrix for the time-step index provided:

\[\mathbf{A}_k = \mathbf{C^T M_{f\frac{1}{\mu}} C} + \frac{1}{\Delta t_k} \mathbf{M_{e\sigma}}\]

where

  • \(\Delta t_k\) is the step length

  • \(\mathbf{C}\) is the discrete curl operator

  • \(\mathbf{M_{e \sigma}}\) is the conductivity inner-product matrix on edges

  • \(\mathbf{M_{f\frac{1}{\mu}}}\) is the inverse permeability inner-product matrix on faces

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

Parameters:
tIndint

The time-step index; between [0, n_steps-1].

Returns:
(n_edges, n_edges) sp.sparse.csr_matrix

The diagonal system matrix.