ply_nodeset_module Module

Collection of node sets to use in the nodal representation of the solution.

Node distributions on the reference interval [-1,1] are to be described by functions that satisfy the ply_nodeset_coords interface and return an array of 1D coordinates for the given number of points.

The following sets of nodes are available:

• ply_nodeset_legendre the nodes of the Gauss-Legendre integration
• ply_nodeset_chebyshev the nodes of the Chebyshev integration
• ply_nodeset_chebyloba the nodes of the Chebyshev-Lobatto integration (includes the interval boundaries)

Contents

Interfaces

ply_nodeset_coords

Functions

ply_nodeset_legendre ply_nodeset_chebyshev ply_nodeset_chebyloba

Interfaces

interface

• public function ply_nodeset_coords(nPoints) result(x)

  Arguments

  Type	Intent	Optional	Attributes		Name
  integer,	intent(in)			::	nPoints	The number of points to create.

  Return Value real(kind=rk)(nPoints)

  The coordinates of the nodeset in the interval [-1,1]. The array has to have the length nPoints.

Functions

public function ply_nodeset_legendre(nPoints) result(x)

Compute Gauss-Legendre integration points on the interval [-1,1].

Arguments

Type	Intent	Optional	Attributes		Name
integer,	intent(in)			::	nPoints	The number of integration points.

Return Value real(kind=rk)(nPoints)

The coordinates of the Legendre points on the interval [-1,1]. The array has to have the length nPoints.

public function ply_nodeset_chebyshev(nPoints) result(x)

Generates a given number of Chebyshev points on the unit interval [-1;+1].

Arguments

Type	Intent	Optional	Attributes		Name
integer,	intent(in)			::	nPoints	The number of points to generate

Return Value real(kind=rk)(nPoints)

The coordinates of the Chebyshev points on the interval [-1,1]. The array has to have the length nPoints.

public function ply_nodeset_chebyloba(nPoints) result(x)

Generates a given number of Chebyshev-Lobatto points on the unit interval [-1;+1].

Arguments

Type	Intent	Optional	Attributes		Name
integer,	intent(in)			::	nPoints	The number of points to generate

Return Value real(kind=rk)(nPoints)

The coordinates of the Chebyshev-Lobatto points on the interval [-1,1]. The array has to have the length nPoints.