The geometrical element representation. More...

#include <element.hpp>

Public Types
enum	{ id = element_traits::id<Derived>::value, num_nodes = lset_t::num_nodes }

typedef Derived	type
	self-returning metafunction

typedef element_traits::space_type< Derived >::type	space_t
	the element space type

typedef element_traits::lset< Derived >::type	lset_t
	the element's L-set

typedef space_t::scalar_t	scalar_t
	the element's scalar variable

typedef lset_t::domain_t	domain_t
	the element's reference domain

typedef domain_t::xi_t	xi_t
	type of the shape functions' independent variable \(\xi\)

typedef element_traits::location_value_type< Derived, 0 >::type	x_t
	type of the element's physical location variable \( x \)

typedef element_traits::location_return_type< Derived, 0 >::type	x_return_type
	return type of the element physical location variable when obtained by get_x

typedef element_traits::location_value_type< Derived, 1 >::type	dx_t
	type of the gradient of the element's physical location variable \( x'_{\xi} \)

typedef element_traits::location_return_type< Derived, 1 >::type	dx_return_type
	return type of the element physical location derivative

typedef element_traits::location_value_type< Derived, 2 >::type	ddx_t
	type of the second derivative of the element's physical location variable \( x''_{\xi} \)

typedef element_traits::location_return_type< Derived, 2 >::type	ddx_return_type
	return type of the element physical location second derivative

typedef Eigen::Matrix< unsigned, num_nodes, 1 >	nodes_t
	vector type that stores the element's corner node indices

typedef element_traits::coords_type< Derived >::type	coords_t
	matrix type that stores the element's corner nodes \(x_i\)

typedef elem_id_t	id_t
	type that stores the element's id

Public Member Functions
NIHU_CRTP_HELPERS	element_base ()
	default constructor for std::vector container

	element_base (coords_t const &coords, unsigned id=0, nodes_t const &nodes=nodes_t())
	constructor More...

const id_t &	get_id (void) const
	return elem id More...

const nodes_t &	get_nodes (void) const
	return nodes More...

const coords_t &	get_coords (void) const
	return coordinates More...

x_return_type	get_x (xi_t const &xi) const
	return element location More...

dx_return_type	get_dx (xi_t const &xi) const
	return element location gradient More...

ddx_return_type	get_ddx (xi_t const &xi) const
	return element location second derivative matrix More...

const x_t &	get_center (void) const
	return element center More...

const scalar_t &	get_linear_size_estimate (void) const
	return linear size estimate More...

template<class OtherElem >
element_overlapping	get_overlapping (OtherElem const &other) const
	check overlapping state with other element More...

Derived	get_linearized_elem (xi_t const &xi0) const
	construct linearized elem around an intrinsic coordinate More...

Protected Attributes
id_t	m_id
	the element's identifier

nodes_t	m_nodes
	the element's nodal indices in the mesh

coords_t	m_coords
	the element's corner coordinates \(x_i\)

x_t	m_center
	the element's center

scalar_t	m_linear_size_estimate
	estimated linear size of an element

element_traits::location_factory_functor< Derived, 0 >::type	x_computer
	functor computing the locations

element_traits::location_factory_functor< Derived, 1 >::type	dx_computer
	functor computing the location derivative vector

element_traits::location_factory_functor< Derived, 2 >::type	ddx_computer
	functor computing the location second derivative matrix

Detailed Description

template<class Derived>
class NiHu::element_base< Derived >

The geometrical element representation.

Template Parameters

Derived CRTP derived class

Definition at line 194 of file element.hpp.

Member Enumeration Documentation

◆ anonymous enum

template<class Derived >

anonymous enum

Enumerator
id	the element id
num_nodes	the number of nodes

Definition at line 212 of file element.hpp.

Constructor & Destructor Documentation

◆ element_base()

template<class Derived >

NiHu::element_base< Derived >::element_base	(	coords_t const &	coords,
		unsigned	id = `0`,
		nodes_t const &	nodes = `nodes_t()`
	)

inline

constructor

Parameters

[in]	id	the elem id
[in]	nodes	the elem node indices
[in]	coords	the elem coordinates

Definition at line 270 of file element.hpp.

Member Function Documentation

◆ get_center()

template<class Derived >

const x_t& NiHu::element_base< Derived >::get_center ( void ) const

inline

return element center

Returns: location \(x_0\) in the element center

Definition at line 353 of file element.hpp.

◆ get_coords()

template<class Derived >

const coords_t& NiHu::element_base< Derived >::get_coords ( void ) const

inline

return coordinates

Returns: elem coordinates

Definition at line 314 of file element.hpp.

◆ get_ddx()

template<class Derived >

ddx_return_type NiHu::element_base< Derived >::get_ddx ( xi_t const & xi ) const

inline

return element location second derivative matrix

Parameters

[in] xi location \( \xi \) in the base domain

Returns: location gradient \( x''_{\xi} \) in the element

Definition at line 344 of file element.hpp.

◆ get_dx()

template<class Derived >

dx_return_type NiHu::element_base< Derived >::get_dx ( xi_t const & xi ) const

inline

return element location gradient

Parameters

[in] xi location \(\xi\) in the base domain

Returns: location gradient \(x'_{\xi}\) in the element

Definition at line 334 of file element.hpp.

◆ get_id()

template<class Derived >

const id_t& NiHu::element_base< Derived >::get_id ( void ) const

inline

return elem id

Returns: elem id

Definition at line 296 of file element.hpp.

◆ get_linear_size_estimate()

template<class Derived >

const scalar_t& NiHu::element_base< Derived >::get_linear_size_estimate ( void ) const

inline

return linear size estimate

Returns: linear size estimate

Definition at line 362 of file element.hpp.

◆ get_linearized_elem()

template<class Derived >

Derived NiHu::element_base< Derived >::get_linearized_elem ( xi_t const & xi0 ) const

inline

construct linearized elem around an intrinsic coordinate

Parameters

[in] xi0 reference point

Definition at line 416 of file element.hpp.

◆ get_nodes()

template<class Derived >

const nodes_t& NiHu::element_base< Derived >::get_nodes ( void ) const

inline

return nodes

Returns: elem nodes

Definition at line 305 of file element.hpp.

◆ get_overlapping()

template<class Derived >

template<class OtherElem >

element_overlapping NiHu::element_base< Derived >::get_overlapping ( OtherElem const & other ) const

inline

check overlapping state with other element

Template Parameters

OtherElem type of the other element

Parameters

[in] other reference to the other element

Returns: structure containing overlapping information

Definition at line 374 of file element.hpp.

◆ get_x()

template<class Derived >

x_return_type NiHu::element_base< Derived >::get_x ( xi_t const & xi ) const

inline

return element location

Parameters

[in]

Definition at line 324 of file element.hpp.

The documentation for this class was generated from the following file:

src/core/element.hpp

Public Types

Public Member Functions

Protected Attributes

Detailed Description

template<class Derived> class NiHu::element_base< Derived >

Member Enumeration Documentation

◆ anonymous enum

Constructor & Destructor Documentation

◆ element_base()

Member Function Documentation

◆ get_center()

◆ get_coords()

◆ get_ddx()

◆ get_dx()

◆ get_id()

◆ get_linear_size_estimate()

◆ get_linearized_elem()

◆ get_nodes()

◆ get_overlapping()

◆ get_x()

template<class Derived>
class NiHu::element_base< Derived >