libMesh::GLLBasis1D Struct Reference

The one-dimensional nodal basis of degree n-1 on n Gauss-Lobatto points. More...

#include <fe_lagrange_gll_shape_1D.h>

Public Attributes
std::vector< Real >	nodes
	The interpolation points in ascending order. The first is -1 and the last is 1.
std::vector< Real >	weights
	The barycentric weights. The i'th is the reciprocal of \(\prod_{j \neq i}(\xi_i - \xi_j)\).
std::vector< std::vector< Real > >	deriv
	deriv[k][i] is the derivative of the i'th shape function at the k'th point
std::vector< std::vector< Real > >	second
	second[k][i] is the second derivative of the i'th shape function at the k'th point

Detailed Description

The one-dimensional nodal basis of degree n-1 on n Gauss-Lobatto points.

Definition at line 52 of file fe_lagrange_gll_shape_1D.h.

Member Data Documentation

deriv

std::vector<std::vector<Real> > libMesh::GLLBasis1D::deriv

deriv[k][i] is the derivative of the i'th shape function at the k'th point

Definition at line 61 of file fe_lagrange_gll_shape_1D.h.

nodes

std::vector<Real> libMesh::GLLBasis1D::nodes

The interpolation points in ascending order. The first is -1 and the last is 1.

Definition at line 55 of file fe_lagrange_gll_shape_1D.h.

second

std::vector<std::vector<Real> > libMesh::GLLBasis1D::second

second[k][i] is the second derivative of the i'th shape function at the k'th point

Definition at line 65 of file fe_lagrange_gll_shape_1D.h.

weights

std::vector<Real> libMesh::GLLBasis1D::weights

The barycentric weights. The i'th is the reciprocal of \(\prod_{j \neq i}(\xi_i - \xi_j)\).

Definition at line 58 of file fe_lagrange_gll_shape_1D.h.

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

• include/fe/fe_lagrange_gll_shape_1D.h