SubDomain

class dolfin.cpp.mesh.SubDomain(*args)

Bases: object

This class defines the interface for definition of subdomains. Alternatively, subdomains may be defined by a Mesh and a MeshFunction <std::size_t> over the mesh.

Constructor

Arguments

map_tol (float)

The tolerance used when identifying mapped points using the function SubDomain::map.

geometric_dimension()

Return geometric dimension

Returns

int

The geometric dimension.

inside()

Return true for points inside the subdomain

Arguments

x (numpy.array(float))

The coordinates of the point.

on_boundary (bool)

True for points on the boundary.

Returns

bool

True for points inside the subdomain.

map()

Map coordinate x in domain H to coordinate y in domain G (used for periodic boundary conditions)

Arguments

x (numpy.array(float))

The coordinates in domain H.

y (numpy.array(float))

The coordinates in domain G.

map_tolerance

mark(*args)

Overloaded versions

• mark(mesh, dim, sub_domain, check_midpoint=true)

  Set subdomain markers (std::size_t) for given topological dimension and subdomain number

  Arguments

  mesh (Mesh)

  The mesh to be marked.

  dim (int)

  The topological dimension of entities to be marked.

  sub_domain (int)

  The subdomain number.

  check_midpoint (bool)

  Flag for whether midpoint of cell should be checked (default).

• mark(sub_domains, sub_domain, check_midpoint=true)

  Set subdomain markers (std::size_t) for given subdomain number

  Arguments

  sub_domains (MeshFunction)

  The subdomain markers.

  sub_domain (int)

  The subdomain number.

  check_midpoint (bool)

  Flag for whether midpoint of cell should be checked (default).

• mark(sub_domains, sub_domain, check_midpoint=true)

  Set subdomain markers (int) for given subdomain number

  Arguments

  sub_domains (MeshFunction)

  The subdomain markers.

  sub_domain (int)

  The subdomain number.

  check_midpoint (bool)

  Flag for whether midpoint of cell should be checked (default).

• mark(sub_domains, sub_domain, check_midpoint=true)

  Set subdomain markers (double) for given subdomain number

  Arguments

  sub_domains (MeshFunction)

  The subdomain markers.

  sub_domain (float)

  The subdomain number.

  check_midpoint (bool)

  Flag for whether midpoint of cell should be checked (default).

• mark(sub_domains, sub_domain, check_midpoint=true)

  Set subdomain markers (bool) for given subdomain

  Arguments

  sub_domains (MeshFunction)

  The subdomain markers.

  sub_domain (bool)

  The subdomain number.

  check_midpoint (bool)

  Flag for whether midpoint of cell should be checked (default).

• mark(sub_domains, sub_domain, mesh, check_midpoint=true)

  Set subdomain markers (std::size_t) for given subdomain number

  Arguments

  sub_domains (MeshValueCollection)

  The subdomain markers.

  sub_domain (int)

  The subdomain number.

  mesn (Mesh)

  The mesh.

  check_midpoint (bool)

  Flag for whether midpoint of cell should be checked (default).

• mark(sub_domains, sub_domain, mesh, check_midpoint=true)

  Set subdomain markers (int) for given subdomain number

  Arguments

  sub_domains (MeshValueCollection)

  The subdomain markers

  sub_domain (int)

  The subdomain number

  check_midpoint (bool)

  Flag for whether midpoint of cell should be checked (default).

• mark(sub_domains, sub_domain, mesh, check_midpoint=true)

  Set subdomain markers (double) for given subdomain number

  Arguments

  sub_domains (MeshValueCollection)

  The subdomain markers.

  sub_domain (float)

  The subdomain number

  check_midpoint (bool)

  Flag for whether midpoint of cell should be checked (default).

• mark(sub_domains, sub_domain, mesh, check_midpoint=true)

  Set subdomain markers (bool) for given subdomain

  Arguments

  sub_domains (MeshValueCollection)

  The subdomain markers

  sub_domain (bool)

  The subdomain number

  check_midpoint (bool)

  Flag for whether midpoint of cell should be checked (default).

mark_cells()

Set subdomain markers (std::size_t) on cells for given subdomain number

Arguments

mesh (Mesh)

The mesh to be marked.

sub_domain (int)

The subdomain number.

check_midpoint (bool)

Flag for whether midpoint of cell should be checked (default).

mark_facets()

Set subdomain markers (std::size_t) on facets for given subdomain number

Arguments

mesh (Mesh)

The mesh to be marked.

sub_domain (int)

The subdomain number.

check_midpoint (bool)

Flag for whether midpoint of cell should be checked (default).

snap()

Snap coordinate to boundary of subdomain

Arguments

x (numpy.array(float))

The coordinates.

thisown

The membership flag