QuadraturePoint

QuadraturePoint_ data type contains quadrature points and corresponding weight. This data type is helpful in calculating the element shape data and finite element matrix and vector.

Structure

The structure of this data type is given by:

TYPE :: QuadraturePoint_
  REAL(DFP), ALLOCATABLE :: Points( :, : )
  INTEGER( I4B ) :: tXi = 0
END TYPE QuadraturePoint_

Points

The number of rows in Points is tXi+1, and the number of columns in Points is equal to the number of quadrature points.

Points(1:tXi, :) denotes the quadrature points.
Points(tXi+1, :) denotes the weights.

tXi

In 1D tXi is 1
In 2D tXi is 2
In 3D tXi is 3

QuadratureType

Currently, easifem provides following quadrature points:

Legendre polynomial based

Chebyshev polynomial based

Jacobi polynomial based

Ultraspherical polynomial based

Methods

📄️ Structure

The structure of this data type is given by:

📄️ Deallocate

Deallocate the memory occupied by an instance of quadrature point.

📄️ Display

Display the content of QuadraturePoint_.

📄️ GaussLegendreLobatto

This function returns Gauss LegendreLobatto-Lobatto quadrature points of a given order.

📄️ GaussLegendre

This function returns GaussLegendre quadrature points of a given order.

📄️ GaussLegendreRadauLeft

This function returns Gauss Legendre Radau quadrature points of a given order.

📄️ GaussLegendreRadauRight

This function returns Gauss Legendre Radau quadrature points of a given order.

📄️ GetQuadraturePoints

This subroutine returns the quadrature points stored inside QuadraturePoint_ object.

📄️ GetTotalQuadraturePoints

Returns the total number of quadrature points.

📄️ Initiate

This subroutine constructs the quadrature points.

📄️ MdEncode

Encode the content of QuadraturePoint in markdown tables.

📄️ Outerprod

Perform outerproduct of quadrature point to get tensor product form of quadrature points.

📄️ Size

Returns the size of obj%Points

Methods