ptems::LagrangePolynomials< 3 > Struct Reference

Defines Lagrange polynomials in the 3D on the reference cube \([-1,1]^2\), simplex \( Conv\{(-1,-1,-1),(1,-1,-1),(-1,1,-1),(-1,-1,1)\} \), pyramid \( Conv\{(-1,-1,-1),(1,-1,-1),(1,1,-1),(-1,1,-1),(-1,-1,1)\} \), or prism \( Conv\{(-1,-1),(1,-1),(-1,1)\} \times [-1,1] \), where \(Conv\) is the convex hull. More...

#include <ptems/spaces/lagrangepolynomials.hpp>

Inheritance diagram for ptems::LagrangePolynomials< 3 >:

Collaboration diagram for ptems::LagrangePolynomials< 3 >:

Static Public Member Functions
static constexpr std::size_t	NumberDoFs (const ReferenceElement< 3 > &element, std::size_t polydeg)
	Gets the number of degrees of freedom required for a polynomial of the specified degree on the specified reference element. More...

Detailed Description

Defines Lagrange polynomials in the 3D on the reference cube \([-1,1]^2\), simplex \( Conv\{(-1,-1,-1),(1,-1,-1),(-1,1,-1),(-1,-1,1)\} \), pyramid \( Conv\{(-1,-1,-1),(1,-1,-1),(1,1,-1),(-1,1,-1),(-1,-1,1)\} \), or prism \( Conv\{(-1,-1),(1,-1),(-1,1)\} \times [-1,1] \), where \(Conv\) is the convex hull.

Member Function Documentation

NumberDoFs()

static constexpr std::size_t ptems::Polynomials< 3 >::NumberDoFs ( const ReferenceElement< 3 > &  element, std::size_t  polydeg  )

inlinestaticconstexprinherited

Gets the number of degrees of freedom required for a polynomial of the specified degree on the specified reference element.

Parameters

element	The reference element (simplex, cube, prism, or pyramid)
polydeg	The degree of the polynomial

Returns

The number of degrees of freedom

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The documentation for this struct was generated from the following file:

• ptems/spaces/lagrangepolynomials.hpp