NiHu::guiggiani< TrialField, Kernel, RadialOrder, TangentialOrder, typename std::enable_if< element_traits::is_surface_element< typename TrialField::elem_t >::value >::type > Class Template Reference

#include <guiggiani_1992.hpp>

Public Types
enum	{ radial_order = RadialOrder, tangential_order = TangentialOrder }
	quadrature orders stored as internal constants More...
enum	{ laurent_order = singular_kernel_traits<kernel_t>::singularity_type_t::value - 1 }
typedef TrialField	trial_field_t
	the trial field type
typedef trial_field_t::elem_t	elem_t
	the element type
typedef elem_t::domain_t	domain_t
	the original reference domain type
typedef domain_t::xi_t	xi_t
	the reference coordinate vector type
typedef elem_t::scalar_t	scalar_t
	the geometrical scalar type
typedef Eigen::Matrix< scalar_t, domain_t::dimension, domain_t::dimension >	trans_t
	the Rong's transformation matrix type
typedef elem_t::x_t	x_t
	the physical coordinate vector type
typedef trial_field_t::nset_t	trial_nset_t
	shape function set type
typedef trial_nset_t::shape_t	trial_n_shape_t
	the shape function vector type
typedef Kernel	kernel_t
	the kernel type
typedef kernel_traits< kernel_t >::test_input_t	test_input_t
	the kernel's test input type
typedef kernel_traits< kernel_t >::trial_input_t	trial_input_t
	the kernel's trial input type
typedef weighted_input< trial_input_t, elem_t >::type	w_trial_input_t
	the kernel's weighted trial input type
typedef singular_kernel_traits< kernel_t >::singular_core_t	singular_core_t
	the singular core type
typedef polar_laurent_coeffs< singular_core_t >	laurent_t
	the Laurent coefficients computing class
typedef semi_block_product_result_type< typename singular_core_t::result_t, trial_n_shape_t >::type	laurent_coeff_t
	value type of the Laurent coefficients
typedef semi_block_product_result_type< typename kernel_t::result_t, trial_n_shape_t >::type	total_result_t
	value type of the integral result

Public Member Functions
	guiggiani (elem_t const &elem, kernel_base< kernel_t > const &kernel)
	constructor More...
template<class result_t >
void	integrate (result_t &&I, xi_t const &xi0, x_t const &normal)
	the entry point of integration More...
template<class T , T order>
const x_t &	get_rvec_series (std::integral_constant< T, order >) const
	return Taylor coefficient of the distance measured from the collocation point
template<class T , T order>
const x_t &	get_Jvec_series (std::integral_constant< T, order >) const
	return Taylor coefficient of the Jacobian vector around the collocation point
template<class T , T order>
const trial_n_shape_t &	get_shape_series (std::integral_constant< T, order >) const
	return Taylor coefficient of the shape set around the collocation point
template<class T , T order>
laurent_coeff_t &	get_laurent_coeff (std::integral_constant< T, order >)
	return a Laurent coefficient
template<class T , T order>
void	set_laurent_coeff (std::integral_constant< T, order >, laurent_coeff_t const &v)
	set a Laurent coefficient
const x_t &	get_n0 (void) const
	return the unit normal at the collocation point
const kernel_t &	get_kernel (void) const

Detailed Description

template<class TrialField, class Kernel, unsigned RadialOrder, unsigned TangentialOrder>
class NiHu::guiggiani< TrialField, Kernel, RadialOrder, TangentialOrder, typename std::enable_if< element_traits::is_surface_element< typename TrialField::elem_t >::value >::type >

brief specialisation of Guiggiani's method for surface elements

Definition at line 89 of file guiggiani_1992.hpp.

Member Enumeration Documentation

anonymous enum

template<class TrialField , class Kernel , unsigned RadialOrder, unsigned TangentialOrder>

anonymous enum

quadrature orders stored as internal constants

Enumerator
radial_order	quadrature order in radial direction
tangential_order	quadrature order in tangential direction

Definition at line 95 of file guiggiani_1992.hpp.

anonymous enum

template<class TrialField , class Kernel , unsigned RadialOrder, unsigned TangentialOrder>

anonymous enum

Todo:

these calculations are only valid for the 3D case

Enumerator
laurent_order	the required Laurent expansion order

Definition at line 149 of file guiggiani_1992.hpp.

Constructor & Destructor Documentation

guiggiani()

template<class TrialField , class Kernel , unsigned RadialOrder, unsigned TangentialOrder>

NiHu::guiggiani< TrialField, Kernel, RadialOrder, TangentialOrder, typename std::enable_if< element_traits::is_surface_element< typename TrialField::elem_t >::value >::type >::guiggiani ( elem_t const &  elem, kernel_base< kernel_t > const &  kernel  )

inline

constructor

Parameters

[in]	elem	the element
[in]	kernel	the kernel

Definition at line 158 of file guiggiani_1992.hpp.

Member Function Documentation

integrate()

template<class TrialField , class Kernel , unsigned RadialOrder, unsigned TangentialOrder>

template<class result_t >

void NiHu::guiggiani< TrialField, Kernel, RadialOrder, TangentialOrder, typename std::enable_if< element_traits::is_surface_element< typename TrialField::elem_t >::value >::type >::integrate ( result_t &&  I, xi_t const &  xi0, x_t const &  normal  )

inline

the entry point of integration

Template Parameters

result_t

the result type where the integral is assembled

Parameters

[in]	xi0	the singular point in intrinsic coordinates
[in]	normal	the normal vector in the singular point
[out]	I	the result matrix where the data is assembled

todo this is for highly distorted elements

Definition at line 262 of file guiggiani_1992.hpp.

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

• src/library/guiggiani_1992.hpp