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GaussLegendre

This function returns GaussLegendre quadrature points of a given order.

Generic name: GaussLegendreQuadrature

Interface 1​

MODULE PURE FUNCTION GaussLegendreQuadrature( refelem, Order ) RESULT( obj )
  CLASS( ReferenceElement_ ), INTENT( IN ) :: refelem
  INTEGER( I4B ), INTENT( IN ) :: Order
  TYPE( QuadraturePoint_ ) :: obj
END FUNCTION GaussLegendreQuadrature
refelem

Reference element.

Order

Order of integrand, that is, accuracy of quadrature points.

Interface 2​

MODULE PURE FUNCTION GaussLegendreQuadrature( refelem, nips ) RESULT( obj )
  CLASS( ReferenceElement_ ), INTENT( IN ) :: refelem
  INTEGER( I4B ), INTENT( IN ) :: nips( 1 )
  TYPE( QuadraturePoint_ ) :: obj
END FUNCTION GaussLegendreQuadrature
note

This function initiates quadrature point based on given nips (number of integration points).

Interface 3​

INTERFACE
  MODULE FUNCTION GaussLegendreQuadrature(refelem, p, q, r) RESULT(obj)
    CLASS(ReferenceElement_), INTENT(IN) :: refelem
    INTEGER(I4B), INTENT(IN) :: p
    !! order of accuracy in x1 direction
    INTEGER(I4B), INTENT(IN) :: q
    !! order of accuracy in x2 direction
    INTEGER(I4B), OPTIONAL, INTENT(IN) :: r
    !! order of accuracy in x3 direction
    TYPE(QuadraturePoint_) :: obj
  END FUNCTION GaussLegendreQuadrature
END INTERFACE