SimPEG.maps.SurjectFull

class SimPEG.maps.SurjectFull(mesh, **kwargs)

Bases: IdentityMap

Mapping a single property value to all mesh cells.

Let \(m\) be a model defined by a single physical property value SurjectFull construct a surjective mapping that projects \(m\) to the set of voxel cells defining a mesh. The mapping \(\mathbf{u(m)}\) is a matrix of 1s of shape (mesh.nC , 1) that projects the model to all mesh cells, i.e.:

\[\mathbf{u}(\mathbf{m}) = \mathbf{Pm}\]

Parameters:

meshdiscretize.BaseMesh

A discretize mesh

Attributes

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; i.e. 1.
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])	Derivative test for the mapping.