Class GaussLegendreQuadrature

Defined in File gausslegendre_quadrature.h

Inheritance Relationships

Base Type

public opensn::GaussQuadrature (Class GaussQuadrature)

Class Documentation

class GaussLegendreQuadrature : public opensn::GaussQuadrature 

Public Functions

explicit GaussLegendreQuadrature(QuadratureOrder order, bool verbose = false, unsigned int max_iters = 1000, double tol = 1.0e-12): Populates the abscissae and weights for a Gauss-Legendre quadrature given the degree \( p \) of the mononomial such that the quadrature rule integrates exactly the weighted integrand \(\rho(x) x^{p} \), with \( \rho(x) := 1 \), on the interval \( [-1;+1] \). The number of points generated will be ceil((O+1)/2).

explicit GaussLegendreQuadrature(unsigned int N, bool verbose = false, unsigned int max_iters = 1000, double tol = 1.0e-12): Populates the abscissae and weights for a Gauss-Legendre quadrature given the number of desired quadrature points. The order of the quadrature will be 2N-1.