lf::refinement Namespace Reference

tools for regular or local refinement of 2D hybrid meshes More...

Classes
struct	CellChildInfo
	Information about the refinement status of a cell. More...
struct	EdgeChildInfo
	Information about the refinement status of an edge. More...
class	EntityCenterPositionSelector
	Utility class: selection of entities according to the position of their midpoint. More...
class	Hybrid2DRefinementPattern
	Class containing information about the refinement of a cell. More...
class	MeshFunctionTransfer
	A MeshFunction representing interpolation on a lf::refinement::MeshHierarchy. More...
class	MeshHierarchy
	A hierarchy of nested 2D hybrid meshes created by refinement. More...
struct	ParentInfo
	Information about possible parent entities. More...
struct	PointChildInfo
	Information about the refinement status of a point. More...

Enumerations
enum	RefPat : int {   rp_nil , rp_copy , rp_split , rp_bisect ,   rp_trisect , rp_trisect_left , rp_quadsect , rp_threeedge ,   rp_regular , rp_barycentric }
	(possibly incomplete) list of refinement patterns for triangles/quadrilaterals More...

Functions
std::ostream &	operator<< (std::ostream &o, const RefPat &refpat)
template<typename MF >
	MeshFunctionTransfer (const lf::refinement::MeshHierarchy &, const MF &, lf::base::size_type, lf::base::size_type) -> MeshFunctionTransfer< MF >
bool	checkValidIndex (const std::vector< glb_idx_t > &idx_vec)
std::shared_ptr< MeshHierarchy >	GenerateMeshHierarchyByUniformRefinemnt (const std::shared_ptr< lf::mesh::Mesh > &mesh_p, lf::base::size_type ref_lev, RefPat ref_pat=RefPat::rp_regular)
	Generated a sequence of nested 2D hybrid mehes by regular or barycentric refinement.
int	normalize_idx (glb_idx_t idx)
void	WriteMatlabLevel (const MeshHierarchy &hier_mesh, size_type level, std::string filename)
	Generate MATLAB function providing parent/child information.
void	WriteMatlab (const MeshHierarchy &hier_mesh, const std::string &basename)
	Generate MATLAB code describing a multilevel hierarchy of meshes.

Variables
const unsigned int	idx_nil = lf::base::kIdxNil

Detailed Description

tools for regular or local refinement of 2D hybrid meshes

LehrFEM++ supports the local refinement of hybrid meshes ensuring mesh conformity in the process. Edge marking is used to single out cells that must be refined. Other cells may also undergo refinement in order to avoid hanging nodes.

Enumeration Type Documentation

RefPat

enum lf::refinement::RefPat : int

(possibly incomplete) list of refinement patterns for triangles/quadrilaterals

Non-symmetric refinement patterns have to be complemented by a subentity index of an edge, here called the anchor of the refinement.

The only symmetric refinement patterns are regular refinement and barycentric refinement.

A refinement pattern has to be passed as first argument to the member function geometry::Geometry::ChildGeometry() of a lf::geometry::Geometry object.

Enumerator
rp_nil	no refinement
rp_copy	just copy the geometry of the current entity
rp_split	for edges: split into two halves
rp_bisect	single bisection, splitting refinement edge
rp_trisect	double bisection
rp_trisect_left	double bisection, other triangle in second step
rp_quadsect	triple bisection, starting at edge 0
rp_threeedge	split quad into one half and three triangles
rp_regular	standard "full" (regular) refinement
rp_barycentric	barycentric refinement

Definition at line 35 of file hybrid2d_refinement_pattern.h.

Function Documentation

checkValidIndex()

bool lf::refinement::checkValidIndex

(

const std::vector< glb_idx_t > &

idx_vec

)

Definition at line 17 of file mesh_hierarchy.cc.

References idx_nil.

GenerateMeshHierarchyByUniformRefinemnt()

std::shared_ptr< MeshHierarchy > lf::refinement::GenerateMeshHierarchyByUniformRefinemnt	(	const std::shared_ptr< lf::mesh::Mesh > &	mesh_p,
		lf::base::size_type	ref_lev,
		RefPat	ref_pat = RefPat::rp_regular )

Generated a sequence of nested 2D hybrid mehes by regular or barycentric refinement.

Parameters

mesh_p	pointer to the coarsest mesh, from which refinment will start
ref_lev	desired number of refinement steps
ref_pat	at selector for type of uniform refinement: default is rp_regular, rp_barycentric choses barycentric refinement.

Returns

shared pointer to a MeshHierarchy object.

Relies on lf::mesh::hybrid2d::MeshFactory as builder class for mesh entities. Invokes the method MeshHierarhy::RefineRegular() for refinement.

Definition at line 1917 of file mesh_hierarchy.cc.

MeshFunctionTransfer()

template<typename MF >

lf::refinement::MeshFunctionTransfer	(	const lf::refinement::MeshHierarchy &	,
		const MF &	,
		lf::base::size_type	,
		lf::base::size_type	) -> MeshFunctionTransfer< MF >

normalize_idx()

int lf::refinement::normalize_idx ( glb_idx_t idx )

inline

Definition at line 14 of file refutils.cc.

References idx_nil.

Referenced by WriteMatlabLevel().

operator<<()

std::ostream & lf::refinement::operator<<	(	std::ostream &	o,
		const RefPat &	refpat )

Definition at line 11 of file hybrid2d_refinement_pattern.cc.

References rp_barycentric, rp_bisect, rp_copy, rp_nil, rp_quadsect, rp_regular, rp_split, rp_threeedge, rp_trisect, and rp_trisect_left.

WriteMatlab()

void lf::refinement::WriteMatlab	(	const MeshHierarchy &	hier_mesh,
		const std::string &	basename )

Generate MATLAB code describing a multilevel hierarchy of meshes.

Parameters

hier_mesh	reference to a valid MeshHierarchy object
basename	basename of the filename for output file, of which there will be several

Definition at line 82 of file refutils.cc.

References lf::refinement::MeshHierarchy::getMesh(), lf::refinement::MeshHierarchy::NumLevels(), lf::io::writeMatlab(), and WriteMatlabLevel().

WriteMatlabLevel()

void lf::refinement::WriteMatlabLevel	(	const MeshHierarchy &	hier_mesh,
		size_type	level,
		std::string	filename )

Generate MATLAB function providing parent/child information.

Parameters

hier_mesh	reference to a valid MeshHierarchy object
level	refinement level to be output
filename	output file in which to store the MATLAB code

Definition at line 20 of file refutils.cc.

References lf::refinement::MeshHierarchy::getMesh(), normalize_idx(), lf::refinement::MeshHierarchy::ParentInfos(), and lf::refinement::MeshHierarchy::RefinementEdges().

Referenced by WriteMatlab().

Variable Documentation

idx_nil

const unsigned int lf::refinement::idx_nil = lf::base::kIdxNil

Definition at line 18 of file hybrid2d_refinement_pattern.h.

Referenced by checkValidIndex(), lf::refinement::MeshHierarchy::MeshHierarchy(), normalize_idx(), and lf::refinement::Hybrid2DRefinementPattern::setAnchor().