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ug4
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#include <gauss_jacobi20.h>
Inheritance diagram for ug::GaussJacobi20:Public Member Functions | |
| GaussJacobi20 (size_t order) | |
| constructor | |
| ~GaussJacobi20 () | |
| destructor | |
Public Member Functions inherited from ug::QuadratureRule< 1 > | |
| size_t | order () const |
| returns the order | |
| const MathVector< dim > & | point (size_t i) const |
| returns i'th integration point | |
| const MathVector< dim > * | points () const |
| returns all positions in an array of size() | |
| QuadratureRule () | |
| constructor | |
| size_t | size () const |
| number of integration points | |
| number | weight (size_t i) const |
| return the i'th weight | |
| const number * | weights () const |
| returns all weights in an array of size() | |
| virtual | ~QuadratureRule () |
| destructor | |
Additional Inherited Members | |
Public Types inherited from ug::QuadratureRule< 1 > | |
| typedef MathVector< dim > | position_type |
| Position Type in Reference Element Space. | |
| typedef number | weight_type |
| Type of weights. | |
Static Public Attributes inherited from ug::QuadratureRule< 1 > | |
| static const int | dim |
| Dimension of Reference Element. | |
Protected Attributes inherited from ug::QuadratureRule< 1 > | |
| size_t | m_numPoints |
| number of points | |
| int | m_order |
| Order of rule. | |
| const MathVector< dim > * | m_pvPoint |
| Integration points. | |
| const number * | m_pvWeight |
| Weights. | |
This class provides GaussJacobi integrals up to order 70 with alpha = 2 and beta = 0. For further information see e.g.
Rathod, Venkatesh, Gauss Legendre - Gauss Jacobi Quadrature Rules over a Tetrahedral Region, Int. J. Math Analysis, Vol. 5, 2011 (4), 189-198
J. Villadsen and M.L. Michelsen, Solution of differential equation models by polynomial approximation, Prentice Hall Inc, Englewood Cliffs, New Jersey 07632 (1978)
| ug::GaussJacobi20::GaussJacobi20 | ( | size_t | order | ) |
| ug::GaussJacobi20::~GaussJacobi20 | ( | ) |
destructor
References ug::QuadratureRule< 1 >::m_pvPoint, and ug::QuadratureRule< 1 >::m_pvWeight.