Nodes1DProvisioner Class Reference

Public Member Functions
	Nodes1DProvisioner (int NOrder, int NumElements, double xmin, double xmax, SparseMatrixConverter &converter, EigenSolver &eigenSolver, DirectSolver &directSolver)
	Constructor. More...
void	buildNodes ()
	Build nodes and geometric factors for all elements.
void	buildDr ()
	Build differentiation matrix Dr on the standard element.
void	buildVandermondeMatrix ()
	Compute Vandermonde matrix which maps modal coefficients to nodal values.
void	computeGradVandermonde (Array< double, 2 > &DVr)
Array< double, 2 > &	get_xGrid ()
	Get reference to physical x-grid.
Array< double, 1 > &	get_rGrid ()
	Get reference to r-grid on the standard element.
Array< double, 2 > &	get_Dr ()
	Get reference to differentiation matrix Dr on the standard element.
Array< double, 2 > &	get_V ()
	Get reference to generalized Vandermonde matrix V.
void	computeJacobiPolynomial (Array< double, 1 > const &x, const double alpha, const double beta, const int N, Array< double, 1 > &p)
	Compute the Nth Jacobi polynomial of type (alpha,beta) > -1 ( != -0.5) and weights, w, associated with the Jacobi polynomial at the points x.
void	computeJacobiQuadWeights (double alpha, double beta, int N, Array< double, 1 > &x, Array< double, 1 > &w)
	Compute the Nth order Gauss quadrature points, x, and weights, w, associated with the Jacobi polynomial, of type (alpha,beta) > -1 ( != -0.5).
void	computeGaussLobottoPoints (double alpha, double beta, int N, Array< double, 1 > &x)
	Compute the Nth order Gauss Lobatto quadrature points, x, associated with the Jacobi polynomial, of type (alpha,beta) > -1 ( != -0.5).
void	computeGradJacobi (Array< double, 1 > const &x, const double alpha, const double beta, const int N, Array< double, 1 > &dp)
	~Nodes1DProvisioner ()
	Destructoructor.

Constructor & Destructor Documentation

Nodes1DProvisioner::Nodes1DProvisioner	(	int	_NOrder,
		int	_NumElements,
		double	_xmin,
		double	_xmax,
		SparseMatrixConverter &	converter,
		EigenSolver &	eigenSolver,
		DirectSolver &	directSolver
	)

Constructor.

Takes order of polynomials, number of elements, and dimensions of the domain. Assumes equally-spaced elements.

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

• include/Nodes1DProvisioner.hpp
• src/Nodes1DProvisioner.cpp