simpeg.electromagnetics.static.spontaneous_potential.CurrentDensityMap#

class simpeg.electromagnetics.static.spontaneous_potential.CurrentDensityMap(mesh, active_cells=None)[source]#

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.

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