Helper class for the initialisation of the mesh of interpolation points. More...

#include <knots_as_interpolation_points.hpp>

Collaboration diagram for ddc::KnotsAsInterpolationPoints< BSplines, BcLower, BcUpper >:

Public Types
using	interpolation_discrete_dimension_type = std::conditional_t< is_uniform_bsplines_v< BSplines >, ddc::UniformPointSampling< continuous_dimension_type >, ddc::NonUniformPointSampling< continuous_dimension_type > >
	The DDC type of the sampling for the interpolation points.

Static Public Member Functions
template<typename Sampling , typename U = BSplines>
static auto	get_sampling ()
	Get the sampling of interpolation points.

template<typename Sampling >
static ddc::DiscreteDomain< Sampling >	get_domain ()
	Get the domain which can be used to access the interpolation points in the sampling.

Detailed Description

template<class BSplines, ddc::BoundCond BcLower, ddc::BoundCond BcUpper>
class ddc::KnotsAsInterpolationPoints< BSplines, BcLower, BcUpper >

Helper class for the initialisation of the mesh of interpolation points.

A helper class for the initialisation of the mesh of interpolation points. This class should be used when the interpolation points should be located at the knots of the spline. This is possible with any kind of boundary condition except Greville boundary conditions (as there will not be enough interpolation points). In the case of strongly non-uniform splines this choice may result in a less well conditioned problem, however most mathematical stability results are proven with this choice of interpolation points.

Template Parameters

BSplines	The type of the uniform or non-uniform spline basis whose knots are used as interpolation points.
BcLower	The lower boundary condition.
BcLower	The upper boundary condition.

Definition at line 33 of file knots_as_interpolation_points.hpp.