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Reference documentation for deal.II version 9.6.0
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#include <deal.II/base/quadrature_lib.h>
Public Member Functions | |
QGaussLobatto (const unsigned int n) | |
QGaussLobatto (const unsigned int) | |
The Gauss-Lobatto family of quadrature rules for numerical integration.
This modification of the Gauss quadrature uses the two interval end points as well. Being exact for polynomials of degree 2n-3, this formula is suboptimal by two degrees.
The quadrature points are interval end points plus the roots of the derivative of the Legendre polynomial Pn-1 of degree n-1. The quadrature weights are 2/(n(n-1)(Pn-1(xi)2).
Definition at line 139 of file quadrature_lib.h.
QGaussLobatto< dim >::QGaussLobatto | ( | const unsigned int | n | ) |
Generate a formula with n
quadrature points (in each space direction).
Definition at line 1064 of file quadrature_lib.cc.
QGaussLobatto< 0 >::QGaussLobatto | ( | const unsigned int | ) |
Definition at line 56 of file quadrature_lib.cc.