hexed::Equidistant Class Reference

Basis with equidistant quadrature points. More...

#include <Equidistant.hpp>

Inheritance diagram for hexed::Equidistant:

Public Member Functions
	Equidistant (int row_size_arg)
	constructor
double	node (int i) const override
	the ith interpolation node (i.e. quadrature point). Should be in interval [0, 1].
Mat< dyn, dyn >	diff_mat () const override
	Differentiation matrix.
Mat	node_weights () const override
	placeholder (throws an exception)
Mat< dyn, dyn >	boundary () const override
	boundary()(i, j) is the jth basis polynomial evaluated at i for i in {0, 1}.
Mat	orthogonal (int degree) const override
	placeholder (throws an exception)
Mat< dyn, dyn >	filter () const override
	placeholder (throws an exception)
Mat< dyn, dyn >	restrict (int i_half) const override
	placeholder (throws an exception)
double	min_eig_diffusion () const override
	placeholder (throws an exception)
Public Member Functions inherited from hexed::Basis
	Basis (int row_size_arg)
Mat	nodes () const
	Get vector of nodes.
Mat< dyn, dyn >	interpolate (const Mat<> &sample) const
	Interpolate to arbitrary points.
virtual Mat< dyn, dyn >	prolong (int i_half) const
	Matrix to prolong into polynomial space of one higher refinement level.
double	max_cfl () const
	maximum stable CFL number for 1D convection
double	step_ratio () const
	ratio of time step for convection stage 2 to stage 1

Protected Member Functions
double	min_eig_convection () const override
	placeholder (throws an exception)
double	quadratic_safety () const override
	placeholder (throws an exception)

Additional Inherited Members
Public Attributes inherited from hexed::Basis
const int	row_size
	row size

Detailed Description

Basis with equidistant quadrature points.

Used only for testing some basic featurs. This would not be a good basis to use in practice because of Runge's phenomenon. As a result, some of the member functions not used in testing are placeholders we have not bothered to implement.

Member Function Documentation

boundary()

Mat< dyn, dyn > hexed::Equidistant::boundary ( ) const

overridevirtual

boundary()(i, j) is the jth basis polynomial evaluated at i for i in {0, 1}.

Implements hexed::Basis.

diff_mat()

Mat< dyn, dyn > hexed::Equidistant::diff_mat ( ) const

overridevirtual

Differentiation matrix.

diff_mat()(i, j) is the derivative of interpolating polynomial j evaluated at node(i).

Implements hexed::Basis.

filter()

Mat< dyn, dyn > hexed::Equidistant::filter ( ) const

overridevirtual

placeholder (throws an exception)

Implements hexed::Basis.

min_eig_convection()

double hexed::Equidistant::min_eig_convection ( ) const

overrideprotectedvirtual

placeholder (throws an exception)

Implements hexed::Basis.

min_eig_diffusion()

double hexed::Equidistant::min_eig_diffusion ( ) const

overridevirtual

placeholder (throws an exception)

Implements hexed::Basis.

node()

double hexed::Equidistant::node ( int i ) const

overridevirtual

the ith interpolation node (i.e. quadrature point). Should be in interval [0, 1].

Implements hexed::Basis.

node_weights()

Mat hexed::Equidistant::node_weights ( ) const

overridevirtual

placeholder (throws an exception)

Implements hexed::Basis.

orthogonal()

Mat hexed::Equidistant::orthogonal ( int degree ) const

overridevirtual

placeholder (throws an exception)

Implements hexed::Basis.

quadratic_safety()

double hexed::Equidistant::quadratic_safety ( ) const

overrideprotectedvirtual

placeholder (throws an exception)

Implements hexed::Basis.

restrict()

Mat< dyn, dyn > hexed::Equidistant::restrict ( int i_half ) const

overridevirtual

placeholder (throws an exception)

Implements hexed::Basis.

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

• /home/micaiah/Desktop/hexed/include/Equidistant.hpp
• /home/micaiah/Desktop/hexed/libhexed/Equidistant.cpp