Namespaces
namespace	cohomology
namespace	normals
namespace	proto

Classes
class	Basis
class	BeltedTree
class	BfmFile
class	Block
class	Chain
	Formal sum of k-simplices (homology). More...
class	Cochain
	Cochain: a functional on chains (cohomology). More...
class	Cohomology
	Computes the cohomology groups H^k of a mesh complex. More...
class	CommTable
class	ConnectivityCalculator
	Computes element-to-element and node-to-node connectivity for finite element meshes. More...
class	ControlPoint
class	Curve
class	CurvedElementChecker
	this temporary class is created by mesh->flag_curved_elements(). More...
class	CurveFactory
class	CutData
	Per-cut topology and metadata. More...
class	CutFactory
	Main orchestrator for automatic cut generation on multiply-connected domains. More...
class	CutProcessor
	Converts thick cuts into the thin cuts the FEM assembly consumes. More...
class	CutProcessorManual
class	CutSet
class	Distributor
class	Edge
	Special Edge class for NEDELEC-Type elements. More...
class	EdgeCutter
class	EdgeFactory
class	Element
	Lagrange Element baseclass. More...
class	ElementFactory
class	ElementTemplate
	Lagrange Element templated against. More...
class	ExodusWriter
class	Face
class	FaceFactory
class	Facet
class	Field
class	GlobalVariable
class	GmshReader
class	Homology
	Computes the homology groups H_k of a mesh complex. More...
class	InterfaceProcessor
class	InterfaceSet
struct	Layer
	this is a supporting data type for the tape generation the mesh entities are passed over to the mesh and will be deleted by the mesh during destruction More...
class	Node
struct	OpNodeIndex
struct	OpSegmentIndex
class	Partitioner
class	Periodicity
	Stores matched periodic boundary entity pairs (nodes, edges, faces). More...
class	PeriodicityFactory
	Creates a Periodicity object by matching nodes on two periodic boundary planes. More...
class	Pipette
	the pipette is a class that measures the volume of an element More...
class	ProtoMesh
class	ReferenceElement
class	Segment
class	SideSet
class	SimplicialComplex
	Simplicial complex reduction engine underlying the homology and cohomology computation. More...
class	SourceExpander
class	ThinShell
	the thin shell class is a data container needed to link element masters and slaves to thin shell blocks More...
class	ThinShellFactory
class	Topology
	Analyzes and classifies mesh topology for finite element simulations. More...
class	Vertex
class	VtkWriter

Enumerations
enum class	InterfaceTreatment { TieWeight1 , Decouple }
enum class	CutAlgorithm { Pellikka = 0 , CCR = 1 , BeltedTree = 2 , PellikkaGeneralized = 3 , UNDEFINED = 4 }

Functions
void	compute_edge_lengths (const uint aDimension, Cell< mesh::Element * > &aElements, Vector< real > &aEdgeLength)
real	compute_surface (Mesh *aMesh, const Vector< id_t > &aSideSetIDs)
void	compute_surface_normals (Mesh *aMesh, const Vector< id_t > &aGroupIDs, const GroupType aGroupType, const bool aComputeInParallel)
real	compute_volume (Mesh *aMesh, const id_t aBlockID)
real	compute_volume (Mesh *aMesh, const Vector< id_t > &aBlockIDs)
real	integrate_scalar_over_sidesets (Mesh *aMesh, const string &aFieldLabel, const Vector< id_t > &aSidesetIDs, const proc_t aMasterRank)
string	to_string (CutAlgorithm aCutAlgorithm)
CutAlgorithm	to_cut_algorithm (const string &aCutAlgorithm)
uint	compute_facet_index (Facet aFacet, Element aElement, Cell< Node * > &aNodes)
template<typename T>
void	collect_hanging_basis (Cell< T * > &aBasis, Cell< T * > &aHangingBasis)
bool	check_facet_orientation (const Facet aA, const Facet aB)
	Checks whether two adjacent facets have consistent orientation.
void	symrcm (Cell< Node * > &aNodes)
void	read_node_tmatrix_from_hdf5 (Mesh *aMesh, const string &aFile)
void	to_master_orientation (Facet aFacet, Cell< Node > &aSlaveOrientation, Cell< Node * > &aMasterOrientation)
void	to_master_orientation (Face aFace, Cell< Node > &aSlaveOrientation, Cell< Node * > &aMasterOrientation)
void	to_master_orientation (Facet aFacet, Cell< Edge > &aSlaveOrientation, Cell< Edge * > &aMasterOrientation)
void	to_master_orientation (Face aFace, Cell< Edge > &aSlaveOrientation, Cell< Edge * > &aMasterOrientation)
void	unflag_elements (Cell< Element * > &aElements)
void	collect_node_coords (Element *aElement, Matrix< real > &aNodeCoords, const uint aNumberOfDimensions, const bool aCornerNodesOnly)
void	collect_node_data (Element *aElement, const Vector< real > &aFieldOnMesh, Vector< real > &aNodalField, const bool aCornerNodesOnly)
real	compute_surface_increment (const Matrix< real > &adNdXi, const Matrix< real > &aNodeCoords, const uint aNumSpatialDimensions)
unsigned int	number_of_nodes (const enum ElementType aElementType)
unsigned int	number_of_edges (const enum ElementType aElementType)
belfem::InterpolationOrder	interpolation_order (const enum ElementType aElementType)
unsigned int	interpolation_order_numeric (const enum ElementType aElementType)
belfem::GeometryType	geometry_type (const enum ElementType aElementType)
int	dimension (const enum GeometryType aGeometryType)
int	dimension (const enum ElementType aElementType)
ElementType	element_type_from_gmsh (const int aGmshNumber)
int	gmsh_from_element_type (const ElementType aElementType)
ElementType	linear_element_type (const ElementType aElementType)
unsigned int	number_of_corner_nodes (const enum ElementType aElementType)
unsigned int	number_of_facets (const enum ElementType aElementType)
unsigned int	bottom_facet_index (const enum ElementType aElementType)
	Facet index of the "lower" face of a thin-shell element (the face whose outward normal points away from the shell on the bottom-layer side).
unsigned int	top_facet_index (const enum ElementType aElementType)
	Facet index of the "upper" face of a thin-shell element (the face whose outward normal points away from the shell on the top-layer side).
unsigned int	number_of_faces (const enum ElementType aElementType)
ElementType	element_type_of_facet (const ElementType aElementType, const unsigned int aFacetIndex)
uint	number_of_orientations (const ElementType aElementType, const uint aFacetNumber)
uint	number_of_nedelec_dofs (const ElementType aElementType)
ElementType	element_type_from_numnodes (const uint aDimension, const uint aNumNodes, const bool aAsThinshell)
void	get_bottom_nodes (Element aElement, Cell< Node > &aNodes)
void	get_top_nodes (Element aElement, Cell< Node > &aNodes)
void	get_bottom_edges (Element aElement, Cell< Edge > &aEdges)
void	get_top_edges (Element aElement, Cell< Edge > &aEdges)

Variables
struct belfem::mesh::OpNodeIndex	opNodeIndex
struct belfem::mesh::OpSegmentIndex	opSegmentIndex

Enumeration Type Documentation

◆ CutAlgorithm

enum class belfem::mesh::CutAlgorithm

strong

Enumerator
Pellikka
CCR
BeltedTree
PellikkaGeneralized
UNDEFINED

◆ InterfaceTreatment

enum class belfem::mesh::InterfaceTreatment

strong

Enumerator
TieWeight1
Decouple

Function Documentation

◆ bottom_facet_index()

unsigned int belfem::mesh::bottom_facet_index ( const enum ElementType aElementType )

Facet index of the "lower" face of a thin-shell element (the face whose outward normal points away from the shell on the bottom-layer side).

Dispatches on geometry type: volume QUAD/PENTA/HEX types return the same slot as their thin-shell twin; errors for geometries without a thin-shell variant ( TRI, TET, PYRA, LINE, VERTEX ).

◆ check_facet_orientation()

bool belfem::mesh::check_facet_orientation	(	const Facet *	aA,
		const Facet *	aB )

inline

Checks whether two adjacent facets have consistent orientation.

In 3D, facets are polygons and adjacency means a shared edge: consistent outward normals traverse that edge in opposite directions:

Facet A: ... → P → Q → ...
Facet B: ... → Q → P → ...   (opposite → consistent)

If both traverse the shared edge in the same direction, the normals point in opposite directions (inverted).

For two-node facets ( 2D line segments ), two distinct facets share a single node, never an edge — consistency there means one traversal continues the other through the shared node:

Facet A: P → Q
Facet B: Q → R          (chain continues → consistent)

If both segments start, or both end, at the shared node, the normals are inverted. Coincident twins reduce to the 3D rule: reversed twin → consistent, identical twin → inverted. Nodes are compared via original() because the 2D facet-to-facet connectivity matches duplicates onto their originals.

Parameters

[in]	aA	first facet
[in]	aB	second facet (must share an edge, or in 2D a node, with aA)

Returns: true if normals are consistent, false if inverted

◆ collect_hanging_basis()

template<typename T>

void belfem::mesh::collect_hanging_basis	(	Cell< T * > &	aBasis,
		Cell< T * > &	aHangingBasis )

◆ collect_node_coords()

void belfem::mesh::collect_node_coords	(	Element *	aElement,
		Matrix< real > &	aNodeCoords,
		const uint	aNumberOfDimensions,
		const bool	aCornerNodesOnly )

◆ collect_node_data()

void belfem::mesh::collect_node_data	(	Element *	aElement,
		const Vector< real > &	aFieldOnMesh,
		Vector< real > &	aNodalField,
		const bool	aCornerNodesOnly )

◆ compute_edge_lengths()

void belfem::mesh::compute_edge_lengths	(	const uint	aDimension,
		Cell< mesh::Element * > &	aElements,
		Vector< real > &	aEdgeLength )

◆ compute_facet_index()

uint belfem::mesh::compute_facet_index	(	Facet *	aFacet,
		Element *	aElement,
		Cell< Node * > &	aNodes )

◆ compute_surface()

real belfem::mesh::compute_surface	(	Mesh *	aMesh,
		const Vector< id_t > &	aSideSetIDs )

◆ compute_surface_increment()

real belfem::mesh::compute_surface_increment	(	const Matrix< real > &	adNdXi,
		const Matrix< real > &	aNodeCoords,
		const uint	aNumSpatialDimensions )

◆ compute_surface_normals()

void belfem::mesh::compute_surface_normals	(	Mesh *	aMesh,
		const Vector< id_t > &	aGroupIDs,
		const GroupType	aGroupType,
		const bool	aComputeInParallel )

◆ compute_volume() [1/2]

real belfem::mesh::compute_volume	(	Mesh *	aMesh,
		const id_t	aBlockID )

◆ compute_volume() [2/2]

real belfem::mesh::compute_volume	(	Mesh *	aMesh,
		const Vector< id_t > &	aBlockIDs )

◆ dimension() [1/2]

int belfem::mesh::dimension ( const enum ElementType aElementType )

◆ dimension() [2/2]

int belfem::mesh::dimension ( const enum GeometryType aGeometryType )

◆ element_type_from_gmsh()

ElementType belfem::mesh::element_type_from_gmsh ( const int aGmshNumber )

◆ element_type_from_numnodes()

ElementType belfem::mesh::element_type_from_numnodes	(	const uint	aDimension,
		const uint	aNumNodes,
		const bool	aAsThinshell )

◆ element_type_of_facet()

ElementType belfem::mesh::element_type_of_facet	(	const ElementType	aElementType,
		const unsigned int	aFacetIndex )

◆ geometry_type()

GeometryType belfem::mesh::geometry_type ( const enum ElementType aElementType )

◆ get_bottom_edges()

void belfem::mesh::get_bottom_edges	(	Element *	aElement,
		Cell< Edge * > &	aEdges )

◆ get_bottom_nodes()

void belfem::mesh::get_bottom_nodes	(	Element *	aElement,
		Cell< Node * > &	aNodes )

◆ get_top_edges()

void belfem::mesh::get_top_edges	(	Element *	aElement,
		Cell< Edge * > &	aEdges )

◆ get_top_nodes()

void belfem::mesh::get_top_nodes	(	Element *	aElement,
		Cell< Node * > &	aNodes )

◆ gmsh_from_element_type()

int belfem::mesh::gmsh_from_element_type ( const ElementType aElementType )

◆ integrate_scalar_over_sidesets()

real belfem::mesh::integrate_scalar_over_sidesets	(	Mesh *	aMesh,
		const string &	aFieldLabel,
		const Vector< id_t > &	aSidesetIDs,
		const proc_t	aMasterRank )

◆ interpolation_order()

InterpolationOrder belfem::mesh::interpolation_order ( const enum ElementType aElementType )

◆ interpolation_order_numeric()

unsigned int belfem::mesh::interpolation_order_numeric ( const enum ElementType aElementType )

◆ linear_element_type()

ElementType belfem::mesh::linear_element_type ( const ElementType aElementType )

◆ number_of_corner_nodes()

unsigned int belfem::mesh::number_of_corner_nodes ( const enum ElementType aElementType )

◆ number_of_edges()

unsigned int belfem::mesh::number_of_edges ( const enum ElementType aElementType )

◆ number_of_faces()

unsigned int belfem::mesh::number_of_faces ( const enum ElementType aElementType )

◆ number_of_facets()

unsigned int belfem::mesh::number_of_facets ( const enum ElementType aElementType )

◆ number_of_nedelec_dofs()

uint belfem::mesh::number_of_nedelec_dofs ( const ElementType aElementType )

◆ number_of_nodes()

unsigned int belfem::mesh::number_of_nodes ( const enum ElementType aElementType )

◆ number_of_orientations()

uint belfem::mesh::number_of_orientations	(	const ElementType	aElementType,
		const uint	aFacetNumber )

◆ read_node_tmatrix_from_hdf5()

void belfem::mesh::read_node_tmatrix_from_hdf5	(	Mesh *	aMesh,
		const string &	aFile )

◆ symrcm()

void belfem::mesh::symrcm ( Cell< Node * > & aNodes )

◆ to_cut_algorithm()

CutAlgorithm belfem::mesh::to_cut_algorithm ( const string & aCutAlgorithm )

inline

◆ to_master_orientation() [1/4]

void belfem::mesh::to_master_orientation	(	Face *	aFace,
		Cell< Edge * > &	aSlaveOrientation,
		Cell< Edge * > &	aMasterOrientation )

◆ to_master_orientation() [2/4]

void belfem::mesh::to_master_orientation	(	Face *	aFace,
		Cell< Node * > &	aSlaveOrientation,
		Cell< Node * > &	aMasterOrientation )

◆ to_master_orientation() [3/4]

void belfem::mesh::to_master_orientation	(	Facet *	aFacet,
		Cell< Edge * > &	aSlaveOrientation,
		Cell< Edge * > &	aMasterOrientation )

◆ to_master_orientation() [4/4]

void belfem::mesh::to_master_orientation	(	Facet *	aFacet,
		Cell< Node * > &	aSlaveOrientation,
		Cell< Node * > &	aMasterOrientation )

◆ to_string()

string belfem::mesh::to_string ( CutAlgorithm aCutAlgorithm )

inline

◆ top_facet_index()

unsigned int belfem::mesh::top_facet_index ( const enum ElementType aElementType )

Facet index of the "upper" face of a thin-shell element (the face whose outward normal points away from the shell on the top-layer side).

Dispatches on geometry type: volume QUAD/PENTA/HEX types return the same slot as their thin-shell twin; errors for geometries without a thin-shell variant ( TRI, TET, PYRA, LINE, VERTEX ).

◆ unflag_elements()

void belfem::mesh::unflag_elements ( Cell< Element * > & aElements )

inline

Variable Documentation

◆ opNodeIndex

struct belfem::mesh::OpNodeIndex belfem::mesh::opNodeIndex

◆ opSegmentIndex

struct belfem::mesh::OpSegmentIndex belfem::mesh::opSegmentIndex

Namespaces

Classes

Enumerations

Functions

Variables

Enumeration Type Documentation

◆ CutAlgorithm

◆ InterfaceTreatment

Function Documentation

◆ bottom_facet_index()

◆ check_facet_orientation()

◆ collect_hanging_basis()

◆ collect_node_coords()

◆ collect_node_data()

◆ compute_edge_lengths()

◆ compute_facet_index()

◆ compute_surface()

◆ compute_surface_increment()

◆ compute_surface_normals()

◆ compute_volume() [1/2]

◆ compute_volume() [2/2]

◆ dimension() [1/2]

◆ dimension() [2/2]

◆ element_type_from_gmsh()

◆ element_type_from_numnodes()

◆ element_type_of_facet()

◆ geometry_type()

◆ get_bottom_edges()

◆ get_bottom_nodes()

◆ get_top_edges()

◆ get_top_nodes()

◆ gmsh_from_element_type()

◆ integrate_scalar_over_sidesets()

◆ interpolation_order()

◆ interpolation_order_numeric()

◆ linear_element_type()

◆ number_of_corner_nodes()

◆ number_of_edges()

◆ number_of_faces()

◆ number_of_facets()

◆ number_of_nedelec_dofs()

◆ number_of_nodes()

◆ number_of_orientations()

◆ read_node_tmatrix_from_hdf5()

◆ symrcm()

◆ to_cut_algorithm()

◆ to_master_orientation() [1/4]

◆ to_master_orientation() [2/4]

◆ to_master_orientation() [3/4]

◆ to_master_orientation() [4/4]

◆ to_string()

◆ top_facet_index()

◆ unflag_elements()

Variable Documentation

◆ opNodeIndex

◆ opSegmentIndex