SubDomain.h

Note

The documentation on this page was automatically extracted from the DOLFIN C++ code and may need to be edited or expanded.

class SubDomain

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.

SubDomain(const double map_tol = 1.0e-10)

Constructor

Arguments

map_tol (double)

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

bool inside(const Array<double> &x, bool on_boundary) const

Return true for points inside the subdomain

Arguments

x (Array <double>)

The coordinates of the point.

on_boundary (bool)

True for points on the boundary.

Returns

bool

True for points inside the subdomain.

void map(const Array<double> &x, Array<double> &y) const

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

Arguments

x (Array <double>)

The coordinates in domain H.

y (Array <double>)

The coordinates in domain G.

void snap(Array<double> &x) const

Snap coordinate to boundary of subdomain

Arguments

x (Array <double>)

The coordinates.

void mark_cells(Mesh &mesh, std::size_t sub_domain, bool check_midpoint = true) const

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

Arguments

mesh (Mesh)

The mesh to be marked.

sub_domain (std::size_t)

The subdomain number.

check_midpoint (bool)

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

void mark_facets(Mesh &mesh, std::size_t sub_domain, bool check_midpoint = true) const

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

Arguments

mesh (Mesh)

The mesh to be marked.

sub_domain (std::size_t)

The subdomain number.

check_midpoint (bool)

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

void mark(Mesh &mesh, std::size_t dim, std::size_t sub_domain, bool check_midpoint = true) const

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

Arguments

mesh (Mesh)

The mesh to be marked.

dim (std::size_t)

The topological dimension of entities to be marked.

sub_domain (std::size_t)

The subdomain number.

check_midpoint (bool)

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

void mark(MeshFunction<std::size_t> &sub_domains, std::size_t sub_domain, bool check_midpoint = true) const

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

Arguments

sub_domains (MeshFunction <std::size_t>)

The subdomain markers.

sub_domain (std::size_t)

The subdomain number.

check_midpoint (bool)

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

void mark(MeshFunction<int> &sub_domains, int sub_domain, bool check_midpoint = true) const

Set subdomain markers (int) for given subdomain number

Arguments

sub_domains (MeshFunction <int>)

The subdomain markers.

sub_domain (int)

The subdomain number.

check_midpoint (bool)

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

void mark(MeshFunction<double> &sub_domains, double sub_domain, bool check_midpoint = true) const

Set subdomain markers (double) for given subdomain number

Arguments

sub_domains (MeshFunction <double>)

The subdomain markers.

sub_domain (double)

The subdomain number.

check_midpoint (bool)

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

void mark(MeshFunction<bool> &sub_domains, bool sub_domain, bool check_midpoint = true) const

Set subdomain markers (bool) for given subdomain

Arguments

sub_domains (MeshFunction <bool>)

The subdomain markers.

sub_domain (bool)

The subdomain number.

check_midpoint (bool)

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

void mark(MeshValueCollection<std::size_t> &sub_domains, std::size_t sub_domain, const Mesh &mesh, bool check_midpoint = true) const

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

Arguments

sub_domains (MeshValueCollection <std::size_t>)

The subdomain markers.

sub_domain (std::size_t)

The subdomain number.

mesh (Mesh)

The mesh.

check_midpoint (bool)

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

void mark(MeshValueCollection<int> &sub_domains, int sub_domain, const Mesh &mesh, bool check_midpoint = true) const

Set subdomain markers (int) for given subdomain number

Arguments

sub_domains (MeshValueCollection <int>)

The subdomain markers

sub_domain (int)

The subdomain number

check_midpoint (bool)

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

void mark(MeshValueCollection<double> &sub_domains, double sub_domain, const Mesh &mesh, bool check_midpoint = true) const

Set subdomain markers (double) for given subdomain number

Arguments

sub_domains (MeshValueCollection <double>)

The subdomain markers.

sub_domain (double)

The subdomain number

check_midpoint (bool)

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

void mark(MeshValueCollection<bool> &sub_domains, bool sub_domain, const Mesh &mesh, bool check_midpoint = true) const

Set subdomain markers (bool) for given subdomain

Arguments

sub_domains (MeshValueCollection <bool>)

The subdomain markers

sub_domain (bool)

The subdomain number

check_midpoint (bool)

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

std::size_t geometric_dimension() const

Return geometric dimension

Returns

std::size_t

The geometric dimension.

void apply_markers(S &sub_domains, T sub_domain, const Mesh &mesh, bool check_midpoint) const

Apply marker of type T (most likely an std::size_t) to object of class S (most likely MeshFunction or MeshValueCollection)