NuTo::InterpolationQuadLobatto Class Reference

#include <InterpolationQuadLobatto.h>

Inheritance diagram for NuTo::InterpolationQuadLobatto:

Public Member Functions
	InterpolationQuadLobatto (int order)
std::unique_ptr< InterpolationSimple >	Clone () const override
Eigen::VectorXd	GetShapeFunctions (const NaturalCoords &naturalIpCoords) const override
	calculates the shape functions More...
Eigen::MatrixXd	GetDerivativeShapeFunctions (const NaturalCoords &naturalIpCoords) const override
	calculates the derivative shape functions More...
NaturalCoords	GetLocalCoords (int nodeId) const override
	returns the local node coordinates More...
int	GetNumNodes () const override
	returns the number of nodes More...
const Shape &	GetShape () const override
Public Member Functions inherited from NuTo::InterpolationSimple
virtual	~InterpolationSimple ()=default

Static Public Member Functions
static Eigen::MatrixXd	LocalCoords (int nodeId, const Eigen::VectorXd &nodes)
static Eigen::VectorXd	ShapeFunctions (const Eigen::Vector2d x, const Eigen::VectorXd &nodes)
static Eigen::MatrixXd	DerivativeShapeFunctions (const Eigen::Vector2d x, const Eigen::VectorXd &nodes)

Constructor & Destructor Documentation

NuTo::InterpolationQuadLobatto::InterpolationQuadLobatto

(

int

order

)

Member Function Documentation

std::unique_ptr< InterpolationSimple > NuTo::InterpolationQuadLobatto::Clone ( ) const

overridevirtual

Implements NuTo::InterpolationSimple.

Eigen::MatrixXd NuTo::InterpolationQuadLobatto::DerivativeShapeFunctions ( const Eigen::Vector2d  x, const Eigen::VectorXd &  nodes  )

static

Eigen::MatrixXd NuTo::InterpolationQuadLobatto::GetDerivativeShapeFunctions ( const NaturalCoords &  naturalIpCoords ) const

overridevirtual

calculates the derivative shape functions

Parameters

naturalIpCoords

integration point coordinates in the natural coordinate system

Returns

matrix of derivate shape functions, dimension: [GetNumNodes() x local dimension]

Remarks

'local dimension' above is the dimension of rLocalIPCoords

Implements NuTo::InterpolationSimple.

NaturalCoords NuTo::InterpolationQuadLobatto::GetLocalCoords ( int  nodeId ) const

overridevirtual

returns the local node coordinates

Parameters

nodeId

local node number

Returns

node coordinates in the natural coordinate system

Implements NuTo::InterpolationSimple.

int NuTo::InterpolationQuadLobatto::GetNumNodes ( ) const

overridevirtual

returns the number of nodes

Returns

number of nodes

Implements NuTo::InterpolationSimple.

const Shape & NuTo::InterpolationQuadLobatto::GetShape ( ) const

overridevirtual

Implements NuTo::InterpolationSimple.

Eigen::VectorXd NuTo::InterpolationQuadLobatto::GetShapeFunctions ( const NaturalCoords &  naturalIpCoords ) const

overridevirtual

calculates the shape functions

Parameters

naturalIpCoords

integration point coordinates in the natural coordinate system

Returns

vector of shape functions, dimension: [GetNumNodes() x 1]

Implements NuTo::InterpolationSimple.

Eigen::MatrixXd NuTo::InterpolationQuadLobatto::LocalCoords ( int  nodeId, const Eigen::VectorXd &  nodes  )

static

Eigen::VectorXd NuTo::InterpolationQuadLobatto::ShapeFunctions ( const Eigen::Vector2d  x, const Eigen::VectorXd &  nodes  )

static

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

• nuto/mechanics/interpolation/InterpolationQuadLobatto.h
• nuto/mechanics/interpolation/InterpolationQuadLobatto.cpp