Triangle

This module contains useful routines for creating polynomials on triangles.

Methods

📄️ BarycentricEdgeBasis

Returns the edge basis functions on reference Triangle.

📄️ BarycentricHeirarchicalBasis

Evaluate all modal basis (heirarchical polynomials) on Triangle.

📄️ BarycentricVertexBasis

Returns the vertex basis functions on reference Triangle.

📄️ CellBasis

Evaluate basis functions in the cell.

📄️ Dubiner

Forms Dubiner basis on reference triangle domain.

📄️ EdgeBasis

Evaluate basis functions on left and right edge of biunit Triangle.

📄️ EquidistanceInPoint

This function returns the equidistance points in triangle.

📄️ EquidistancePoint

This function returns the nodal coordinates of higher order triangle element

📄️ HeirarchicalBasis

Evaluate all modal basis (heirarchical polynomial) on Triangle.

📄️ InterpolationPoint

This routine returns the interpolation points on triangle.

📄️ LagrangeCoeff

Returns the coefficients for lagrange polynomial.

📄️ LagrangeDOF

Returns the total number of degree of freedom for a lagrange polynomial on triangle.

📄️ LagrangeDegree

Returns the polynomial space for constructing the Lagrange polynomials.

📄️ LagrangeEvalAll

Evaluate Lagrange polynomials on triangle.

📄️ LagrangeInDOF

Returns the total number of degree of freedom for a lagrange polynomial in cell/face of triangle.

📄️ QuadraturePoint

This routine returns the quadrature points on triangle.

📄️ VertexBasis

Returns value of vertex function on triangle.