Local solver for the equation that governs the bending and change of length of an elastic Bernoulli beam. More...

#include <bernoulli_beams.hxx>

Collaboration diagram for LocalSolver::LengtheningBernoulliBendingBeam< hyEdge_dimT, space_dim, poly_deg, quad_deg, lSol_float_t >:

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Classes
struct	data_type
	Define type of (hyperedge related) data that is stored in HyDataContainer. More...

struct	error_def
	Define how errors are evaluated. More...

struct	node_element
	Define type of node elements, especially with respect to nodal shape functions. More...

Public Types
typedef lSol_float_t	constructor_value_type
	Class is constructed using a single double indicating the penalty parameter. More...

Public Member Functions
	LengtheningBernoulliBendingBeam (const constructor_value_type &tau=1.)
	Constructor for local solver. More...

template<class hyEdgeT , typename SmallMatInT , typename SmallMatOutT >
SmallMatOutT &	trace_to_flux (const SmallMatInT &lambda_values_in, SmallMatOutT &lambda_values_out, hyEdgeT &hyper_edge, const lSol_float_t time=0.) const
	Evaluate local contribution to matrix–vector multiplication. More...

template<class hyEdgeT , typename SmallMatInT , typename SmallMatOutT >
SmallMatOutT &	residual_flux (const SmallMatInT &lambda_values_in, SmallMatOutT &lambda_values_out, hyEdgeT &hyper_edge, const lSol_float_t time=0.) const
	Evaluate local contribution to residual. More...

template<class hyEdgeT >
std::array< lSol_float_t, 1U >	errors (const std::array< std::array< lSol_float_t, n_glob_dofs_per_node()>, 2 *hyEdge_dimT > &lambda_values, hyEdgeT &hyper_edge, const lSol_float_t time=0.) const
	Local squared contribution to the L2 error. More...

template<typename abscissa_float_t , std::size_t sizeT, class input_array_t , class hyEdgeT >
std::array< std::array< lSol_float_t, Hypercube< hyEdge_dimT >::pow(sizeT)>, system_dimension()>	bulk_values (const std::array< abscissa_float_t, sizeT > &abscissas, const input_array_t &lambda_values, hyEdgeT &hyper_edge, const lSol_float_t time=0.) const
	Evaluate local local reconstruction at tensorial products of abscissas. More...

Static Public Member Functions
static constexpr unsigned int	hyEdge_dim ()
	Return template parameter `hyEdge_dimT`. More...

static constexpr unsigned int	n_glob_dofs_per_node ()
	Evaluate amount of global degrees of freedom per hypernode. More...

static constexpr unsigned int	system_dimension ()
	Dimension of of the solution evaluated with respect to a hyperedge. More...

static constexpr unsigned int	node_system_dimension ()
	Dimension of of the solution evaluated with respect to a hypernode. More...

Private Attributes
const LengtheningBeam< hyEdge_dimT, space_dim, poly_deg, quad_deg, lSol_float_t >	len_beam
	The lengthening beam solver that does the lengthening of the beam. More...

const BernoulliBendingBeam< hyEdge_dimT, space_dim, poly_deg, quad_deg, lSol_float_t >	ben_beam
	The bending beam solver that does the bending of the beam. More...

Detailed Description

template<unsigned int hyEdge_dimT, unsigned int space_dim, unsigned int poly_deg, unsigned int quad_deg, typename lSol_float_t = double>
class LocalSolver::LengtheningBernoulliBendingBeam< hyEdge_dimT, space_dim, poly_deg, quad_deg, lSol_float_t >

Local solver for the equation that governs the bending and change of length of an elastic Bernoulli beam.

Authors: Guido Kanschat, Heidelberg University, 2019–2020.; Andreas Rupp, Heidelberg University, 2019–2020.

Member Typedef Documentation

◆ constructor_value_type

template<unsigned int hyEdge_dimT, unsigned int space_dim, unsigned int poly_deg, unsigned int quad_deg, typename lSol_float_t = double>

typedef lSol_float_t LocalSolver::LengtheningBernoulliBendingBeam< hyEdge_dimT, space_dim, poly_deg, quad_deg, lSol_float_t >::constructor_value_type

Class is constructed using a single double indicating the penalty parameter.

Constructor & Destructor Documentation

◆ LengtheningBernoulliBendingBeam()

template<unsigned int hyEdge_dimT, unsigned int space_dim, unsigned int poly_deg, unsigned int quad_deg, typename lSol_float_t = double>

LocalSolver::LengtheningBernoulliBendingBeam< hyEdge_dimT, space_dim, poly_deg, quad_deg, lSol_float_t >::LengtheningBernoulliBendingBeam ( const constructor_value_type & tau = 1. )

inline

Constructor for local solver.

Parameters

tau	Penalty parameter of HDG scheme.

Member Function Documentation

◆ bulk_values()

template<unsigned int hyEdge_dimT, unsigned int space_dim, unsigned int poly_deg, unsigned int quad_deg, typename lSol_float_t = double>

template<typename abscissa_float_t , std::size_t sizeT, class input_array_t , class hyEdgeT >

std::array<std::array<lSol_float_t, Hypercube<hyEdge_dimT>::pow(sizeT)>, system_dimension()> LocalSolver::LengtheningBernoulliBendingBeam< hyEdge_dimT, space_dim, poly_deg, quad_deg, lSol_float_t >::bulk_values	(	const std::array< abscissa_float_t, sizeT > &	abscissas,
		const input_array_t &	lambda_values,
		hyEdgeT &	hyper_edge,
		const lSol_float_t	time = `0.`
	)		const

inline

Evaluate local local reconstruction at tensorial products of abscissas.

Template Parameters

absc_float_t	Floating type for the abscissa values.
abscissas_sizeT	Size of the array of array of abscissas.
input_array_t	Type of input array.
hyEdgeT	The geometry type / typename of the considered hyEdge's geometry.

Parameters

abscissas	Abscissas of the supporting points.
lambda_values	The values of the skeletal variable's coefficients.
hyper_edge	The geometry of the considered hyperedge (of typename GeomT).
time	Time.

Return values

func_values Function values at tensorial points.

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◆ errors()

template<unsigned int hyEdge_dimT, unsigned int space_dim, unsigned int poly_deg, unsigned int quad_deg, typename lSol_float_t = double>

template<class hyEdgeT >

std::array<lSol_float_t, 1U> LocalSolver::LengtheningBernoulliBendingBeam< hyEdge_dimT, space_dim, poly_deg, quad_deg, lSol_float_t >::errors	(	const std::array< std::array< lSol_float_t, n_glob_dofs_per_node()>, 2 *hyEdge_dimT > &	lambda_values,
		hyEdgeT &	hyper_edge,
		const lSol_float_t	time = `0.`
	)		const

inline

Local squared contribution to the L2 error.

Template Parameters

hyEdgeT The geometry type / typename of the considered hyEdge's geometry.

Parameters

lambda_values	The values of the skeletal variable's coefficients.
hyper_edge	The geometry of the considered hyperedge (of typename GeomT).
time	Time at which analytic functions are evaluated.

Return values

vec_b Local part of vector b.

◆ hyEdge_dim()

template<unsigned int hyEdge_dimT, unsigned int space_dim, unsigned int poly_deg, unsigned int quad_deg, typename lSol_float_t = double>

static constexpr unsigned int LocalSolver::LengtheningBernoulliBendingBeam< hyEdge_dimT, space_dim, poly_deg, quad_deg, lSol_float_t >::hyEdge_dim ( )

inlinestaticconstexpr

Return template parameter hyEdge_dimT.

Return values

hyEdge_dimT Dimension of hypergraph's hyperedges.

◆ n_glob_dofs_per_node()

template<unsigned int hyEdge_dimT, unsigned int space_dim, unsigned int poly_deg, unsigned int quad_deg, typename lSol_float_t = double>

static constexpr unsigned int LocalSolver::LengtheningBernoulliBendingBeam< hyEdge_dimT, space_dim, poly_deg, quad_deg, lSol_float_t >::n_glob_dofs_per_node ( )

inlinestaticconstexpr

Evaluate amount of global degrees of freedom per hypernode.

This number must be equal to HyperNodeFactory::n_glob_dofs_per_node()() of the HyperNodeFactory cooperating with this object.

Return values

n_dofs Number of global degrees of freedom per hypernode.

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◆ node_system_dimension()

template<unsigned int hyEdge_dimT, unsigned int space_dim, unsigned int poly_deg, unsigned int quad_deg, typename lSol_float_t = double>

static constexpr unsigned int LocalSolver::LengtheningBernoulliBendingBeam< hyEdge_dimT, space_dim, poly_deg, quad_deg, lSol_float_t >::node_system_dimension ( )

inlinestaticconstexpr

Dimension of of the solution evaluated with respect to a hypernode.

◆ residual_flux()

template<unsigned int hyEdge_dimT, unsigned int space_dim, unsigned int poly_deg, unsigned int quad_deg, typename lSol_float_t = double>

template<class hyEdgeT , typename SmallMatInT , typename SmallMatOutT >

SmallMatOutT& LocalSolver::LengtheningBernoulliBendingBeam< hyEdge_dimT, space_dim, poly_deg, quad_deg, lSol_float_t >::residual_flux	(	const SmallMatInT &	lambda_values_in,
		SmallMatOutT &	lambda_values_out,
		hyEdgeT &	hyper_edge,
		const lSol_float_t	time = `0.`
	)		const

inline

Evaluate local contribution to residual.

◆ system_dimension()

template<unsigned int hyEdge_dimT, unsigned int space_dim, unsigned int poly_deg, unsigned int quad_deg, typename lSol_float_t = double>

static constexpr unsigned int LocalSolver::LengtheningBernoulliBendingBeam< hyEdge_dimT, space_dim, poly_deg, quad_deg, lSol_float_t >::system_dimension ( )

inlinestaticconstexpr

Dimension of of the solution evaluated with respect to a hyperedge.

◆ trace_to_flux()

template<unsigned int hyEdge_dimT, unsigned int space_dim, unsigned int poly_deg, unsigned int quad_deg, typename lSol_float_t = double>

template<class hyEdgeT , typename SmallMatInT , typename SmallMatOutT >

SmallMatOutT& LocalSolver::LengtheningBernoulliBendingBeam< hyEdge_dimT, space_dim, poly_deg, quad_deg, lSol_float_t >::trace_to_flux	(	const SmallMatInT &	lambda_values_in,
		SmallMatOutT &	lambda_values_out,
		hyEdgeT &	hyper_edge,
		const lSol_float_t	time = `0.`
	)		const

inline

Evaluate local contribution to matrix–vector multiplication.

Member Data Documentation

◆ ben_beam

template<unsigned int hyEdge_dimT, unsigned int space_dim, unsigned int poly_deg, unsigned int quad_deg, typename lSol_float_t = double>

const BernoulliBendingBeam<hyEdge_dimT, space_dim, poly_deg, quad_deg, lSol_float_t> LocalSolver::LengtheningBernoulliBendingBeam< hyEdge_dimT, space_dim, poly_deg, quad_deg, lSol_float_t >::ben_beam

private

The bending beam solver that does the bending of the beam.

◆ len_beam

template<unsigned int hyEdge_dimT, unsigned int space_dim, unsigned int poly_deg, unsigned int quad_deg, typename lSol_float_t = double>

const LengtheningBeam<hyEdge_dimT, space_dim, poly_deg, quad_deg, lSol_float_t> LocalSolver::LengtheningBernoulliBendingBeam< hyEdge_dimT, space_dim, poly_deg, quad_deg, lSol_float_t >::len_beam

private

The lengthening beam solver that does the lengthening of the beam.

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

/home/runner/work/HyperHDG/HyperHDG/include/HyperHDG/local_solver/bernoulli_beams.hxx

Classes

Public Types

Public Member Functions

Static Public Member Functions

Private Attributes

Detailed Description

template<unsigned int hyEdge_dimT, unsigned int space_dim, unsigned int poly_deg, unsigned int quad_deg, typename lSol_float_t = double> class LocalSolver::LengtheningBernoulliBendingBeam< hyEdge_dimT, space_dim, poly_deg, quad_deg, lSol_float_t >

Member Typedef Documentation

◆ constructor_value_type

Constructor & Destructor Documentation

◆ LengtheningBernoulliBendingBeam()

Member Function Documentation

◆ bulk_values()

◆ errors()

◆ hyEdge_dim()

◆ n_glob_dofs_per_node()

◆ node_system_dimension()

◆ residual_flux()

◆ system_dimension()

◆ trace_to_flux()

Member Data Documentation

◆ ben_beam

◆ len_beam

template<unsigned int hyEdge_dimT, unsigned int space_dim, unsigned int poly_deg, unsigned int quad_deg, typename lSol_float_t = double>
class LocalSolver::LengtheningBernoulliBendingBeam< hyEdge_dimT, space_dim, poly_deg, quad_deg, lSol_float_t >