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

specialisation of Guiggiani's method for volume elements and collocation More...

#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)
	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>
double	get_J_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 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 >

specialisation of Guiggiani's method for volume elements and collocation

Template Parameters

TrialField	the trial field's type
Kernel	the kernel type
RadialOrder	the order of radial integration
TangentialOrder	the order of tangential integration

Definition at line 454 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 460 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 2D volume case

Enumerator
laurent_order	the required Laurent expansion order

Definition at line 514 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 523 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  )

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

Definition at line 631 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