simpeg.electromagnetics.static.spontaneous_potential.CurrentDensityMap

class simpeg.electromagnetics.static.spontaneous_potential.CurrentDensityMap(mesh, active_cells=None)

Bases: LinearMap

Maps current density to charge density accumulation rate.

Parameters:

meshdiscretize.base.BaseMesh

active_cellsindex_array, optional

Defaults to all cells being active. This is used to apply a 0 Nuemann boundary condition at topographic faces.

Attributes

A	The linear operator matrix.
b	Added part of the linear operation.
is_linear	Determine whether or not this mapping is a linear operation.
mesh	The mesh used for the mapping
nP	Number of parameters the mapping acts on.
shape	Dimensions of the mapping operator

Methods

deriv(m[, v])	Derivative of the mapping with respect to the input parameters.
dot(map1)	Multiply two mappings to create a simpeg.maps.ComboMap.
inverse(D)	The transform inverse is not implemented.
test([m, num, random_seed])	Derivative test for the mapping.

Notes

This map relates current density \(\vec{j}_s\) in A/m^2 to the charge density accumulation rate \(q\) (C/(s m^3)) by taking the negative divergence.

\[q = -\nabla \cdot \vec{j}_s\]