Dune::Fem::LegendrePolynomials Class Reference

#include <dune/fem/space/shapefunctionset/legendrepolynomials.hh>

Static Public Member Functions
static double	evaluate (const int num, const double x)
static double	jacobian (const int num, const double x)
static double	hessian (const int num, const double x)

Static Public Attributes
static const int	maxOrder = 11
static const double	factor [maxOrder][maxOrder]
static const double	weight [maxOrder]

Member Function Documentation

evaluate()

static double Dune::Fem::LegendrePolynomials::evaluate ( const int  num, const double  x  )

inlinestatic

hessian()

static double Dune::Fem::LegendrePolynomials::hessian ( const int  num, const double  x  )

inlinestatic

jacobian()

static double Dune::Fem::LegendrePolynomials::jacobian ( const int  num, const double  x  )

inlinestatic

Member Data Documentation

factor

const double Dune::Fem::LegendrePolynomials::factor

static

Initial value:

= { { 1.0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
          { -1.0, 2.0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
          { 1.0, - 6.0, 6.0, 0, 0, 0, 0, 0, 0, 0, 0 },
          { -1.0, 12.0, -30.0, 20.0, 0, 0, 0, 0, 0, 0, 0 },
          { 1.0, -20.0, 90.0, -140.0, 70.0, 0, 0, 0, 0, 0, 0 },
          { -1.0, 30.0, -210.0, 560.0, -630.0, 252.0, 0, 0, 0, 0, 0 },
          { 1.0, -42.0, 420.0, -1680.0, 3150.0, -2772.0, 924.0, 0, 0, 0, 0 },
          { -1.0, 56.0, -756.0, 4200.0, -11550.0, 16632.0, -12012.0, 3432.0, 0, 0, 0 },
          { 1.0, -72.00, 1260.0, -9240.0, 34650.0, -72072.0, 84084.0, -51480.0, 12870.0, 0, 0 },
          { -1.0, 90.0, -1980.0, 18480.0, -90090.0, 252252.0, -420420.0, 411840.0, -218790.0, 48620.0, 0 },
          { 1.0, -110.0, 2970.0, -34920.0, 210210.0, -756756.0, 1681680.0, -2333760.0, 1969110.0, -923780.0, 184756.0 } }

maxOrder

const int Dune::Fem::LegendrePolynomials::maxOrder = 11

static

weight

const double Dune::Fem::LegendrePolynomials::weight

static

Initial value:

= { 1.0, 1.73205080756887729352744634151, 2.23606797749978969640917366873, 2.64575131106459059050161575364, 3.0, 3.31662479035539984911493273667, 3.60555127546398929311922126747,
          3.87298334620741688517926539978, 4.12310562561766054982140985597, 4.35889894354067355223698198386, 4.58257569495584000658804719373 }

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The documentation for this class was generated from the following files:

• legendrepolynomials.hh
• legendrepolynomials.cc