simpeg.electromagnetics.time_domain.Simulation3DMagneticFluxDensity.getAdiag#

Simulation3DMagneticFluxDensity.getAdiag(tInd)[source]#

Diagonal system matrix for the given time-step index.

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

Ak=CMeσ1CTMf1μ+1ΔtkI

where

  • Δtk is the step length

  • I is the identity matrix

  • C is the discrete curl operator

  • Meσ is the conductivity inner-product matrix on edges

  • Mf1μ is the inverse permeability inner-product matrix on faces

See the Notes section of the doc strings for Simulation3DMagneticFluxDensity for a full description of the formulation.

Parameters:
tIndint

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

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

The diagonal system matrix.