simpeg.maps.InjectActiveCells.inverse#

InjectActiveCells.inverse(u)[source]#

Recover the model parameters (active cells) from a set of physical property values defined on the entire mesh.

For a discrete set of model parameters $\mathbf{m}$ defined on a set of active cells, the mapping $\mathbf{u}(\mathbf{m})$ is defined as:

$$\mathbf{u}(\mathbf{m})=\mathbf{Pm}+\mathbf{d}{m}_{\perp }$$

where $\mathbf{P}$ is a (nC , nP) projection matrix from active cells to all mesh cells, and $\mathbf{d}$ is a (nC , 1) matrix that projects the inactive cell value $m_{\perp }$ to all inactive mesh cells.

The inverse mapping is given by:

$$\mathbf{m}(\mathbf{u})={\mathbf{P}}^{\mathbf{T}}\mathbf{u}$$

Parameters:

u(mesh.nC) numpy.ndarray

A vector which contains physical property values for all mesh cells.