dolfin.specialfunctions

Some special functions

Functions

CellDiameter(mesh)	Return function cell diameter for given mesh.
CellNormal(mesh)	Return symbolic cell normal for given manifold mesh.
CellVolume(mesh)	Return symbolic cell volume for given mesh.
Circumradius(mesh)	Return symbolic cell circumradius for given mesh.
FacetNormal(mesh)	Return symbolic facet normal for given mesh.
MaxCellEdgeLength(mesh)	Return symbolic maximum cell edge length of a cell for given mesh.
MaxFacetEdgeLength(mesh)	Return symbolic maximum facet edge length of a cell for given mesh.
MinCellEdgeLength(mesh)	Return symbolic minimum cell edge length of a cell for given mesh.
MinFacetEdgeLength(mesh)	Return symbolic minimum facet edge length of a cell for given mesh.
SpatialCoordinate(mesh)	Return symbolic physical coordinates for given mesh.

dolfin.specialfunctions.CellDiameter(mesh: dolfin.cpp.mesh.Mesh) → ufl.geometry.CellDiameter

Return function cell diameter for given mesh.

Note that diameter of cell \(K\) is defined as \(\sup_{\mathbf{x, y} \in K} |\mathbf{x - y}|\).

Example of usage

mesh = UnitSquare(4,4)
h = CellDiameter(mesh)

dolfin.specialfunctions.CellNormal(mesh: dolfin.cpp.mesh.Mesh) → ufl.geometry.CellNormal

Return symbolic cell normal for given manifold mesh.

Example of usage

mesh = UnitSquare(4,4)
n = CellNormal(mesh)

dolfin.specialfunctions.CellVolume(mesh: dolfin.cpp.mesh.Mesh) → ufl.geometry.CellVolume

Return symbolic cell volume for given mesh.

Example of usage

mesh = UnitSquare(4,4)
vol = CellVolume(mesh)

dolfin.specialfunctions.Circumradius(mesh: dolfin.cpp.mesh.Mesh) → ufl.geometry.Circumradius

Return symbolic cell circumradius for given mesh.

Example of usage

mesh = UnitSquare(4,4)
R = Circumradius(mesh)

dolfin.specialfunctions.FacetNormal(mesh: dolfin.cpp.mesh.Mesh) → ufl.geometry.FacetNormal

Return symbolic facet normal for given mesh.

Example of usage

mesh = UnitSquare(4,4)
n = FacetNormal(mesh)

dolfin.specialfunctions.MaxCellEdgeLength(mesh: dolfin.cpp.mesh.Mesh) → ufl.geometry.MaxCellEdgeLength

Return symbolic maximum cell edge length of a cell for given mesh.

Example of usage

mesh = UnitSquare(4,4)
maxce = MaxCellEdgeLength(mesh)

dolfin.specialfunctions.MaxFacetEdgeLength(mesh: dolfin.cpp.mesh.Mesh) → ufl.geometry.MaxFacetEdgeLength

Return symbolic maximum facet edge length of a cell for given mesh.

Example of usage

mesh = UnitSquare(4,4)
maxfe = MaxFacetEdgeLength(mesh)

dolfin.specialfunctions.MinCellEdgeLength(mesh: dolfin.cpp.mesh.Mesh) → ufl.geometry.MinCellEdgeLength

Return symbolic minimum cell edge length of a cell for given mesh.

Example of usage

mesh = UnitSquare(4,4)
mince = MinCellEdgeLength(mesh)

dolfin.specialfunctions.MinFacetEdgeLength(mesh: dolfin.cpp.mesh.Mesh) → ufl.geometry.MinFacetEdgeLength

Return symbolic minimum facet edge length of a cell for given mesh.

Example of usage

mesh = UnitSquare(4,4)
vol = MinFacetEdgeLength(mesh)

dolfin.specialfunctions.SpatialCoordinate(mesh: dolfin.cpp.mesh.Mesh) → ufl.geometry.SpatialCoordinate

Return symbolic physical coordinates for given mesh.

Example of usage

mesh = UnitSquare(4,4)
x = SpatialCoordinate(mesh)