Nektar::LibUtilities::StdNodalTetData Namespace Reference

Functions
constexpr int	getNumberOfCoefficients (int Na, int Nb, int Nc)
constexpr int	getNumberOfBndCoefficients (int Na, int Nb, int Nc)

Function Documentation

getNumberOfBndCoefficients()

constexpr int Nektar::LibUtilities::StdNodalTetData::getNumberOfBndCoefficients ( int  Na, int  Nb, int  Nc  )

inlineconstexpr

Definition at line 273 of file ShapeType.hpp.

{
    ASSERTL1(Na == Nb, "order in 'a' direction needs to be the same as "
                       "b' direction for nodaltet");
    ASSERTL1(Nb == Nc, "order in 'a' direction needs to be the same as "
                       "c' direction for nodaltet");
    int nCoef = Na * (Na + 1) / 2 + (Nb - Na) * Na         // base
                + Na * (Na + 1) / 2 + (Nc - Na) * Na       // front
                + 2 * (Nb * (Nb + 1) / 2 + (Nc - Nb) * Nb) // 2 other sides
                - Na - 2 * Nb - 3 * Nc                     // less edges
                + 4;                                       // plus vertices
 
    return nCoef;
}

References ASSERTL1.

getNumberOfCoefficients()

constexpr int Nektar::LibUtilities::StdNodalTetData::getNumberOfCoefficients ( int  Na, int  Nb, int  Nc  )

inlineconstexpr

Adds up the number of cells in a truncated Nc by Nc by Nc pyramid, where the longest Na rows and longest Nb columns are kept. Example: (Na, Nb, Nc) = (3, 4, 5); The number of coefficients is the sum of the elements of the following matrix:

|5 4 3 2 0| |4 3 2 0 | |3 2 0 | |0 0 | |0 |

Sum = 28 = number of tet coefficients.

Definition at line 264 of file ShapeType.hpp.

{
    ASSERTL1(Na == Nb, "order in 'a' direction needs to be the same as "
                       "b' direction for nodaltet");
    ASSERTL1(Nb == Nc, "order in 'a' direction needs to be the same as "
                       "c' direction for nodaltet");
    return Na * (Nb + 1) * (Nc + 2) / 6;
}

References ASSERTL1.

Referenced by Nektar::LibUtilities::GetNumberOfCoefficients().