# 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:

## Interfaces

• ### public function ply_nodeset_coords(nPoints) result(x)

#### Arguments

TypeIntentOptionalAttributesName
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

TypeIntentOptionalAttributesName
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

TypeIntentOptionalAttributesName
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

TypeIntentOptionalAttributesName
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.