Class xlifepp::RaviartThomasStdTrianglePk

class RaviartThomasStdTrianglePk : public xlifepp::RaviartThomasTriangle

Inheritence diagram for xlifepp::RaviartThomasStdTrianglePk:

Collaboration diagram for xlifepp::RaviartThomasStdTrianglePk:

Raviart-Thomas element of any order k on triangle T (RTtk, also known as Rao-Wilton-Glisson element) space Vk: P^2_(k-1) + PH_(k-1)*(x1,x2), dim Vk = k(k+2) (PHk homogeneous polynomials of order k), edge dofs: v-> int_e v.n q, q in P_(k-1)[e] k dofs by edge e triangle dofs: v-> int_t v.q, q in P_(k-2)[t]^2 k(k-1) dofs only for k>1.

Public Functions

RaviartThomasStdTrianglePk(const Interpolation *int_p)

RaviartThomas Pk triangle Reference Element (any order)

              *
| \           | \
2   1       3 *   * 2
|     \       |     \           dof's side numbering
 ---3---*   4 *  *7   * 1
  k=1         |    *8   \
               ---*---*---*
                  5   6
                   k=2
2
| \
2   1        edge orientation in dof's integral computation on edge
|     \
3---3---1         e1 : 1->2,  e2 : 1->3   e3 : 3->1
   ->

virtual void computeShapeFunctions()

compute shape functions as polynomials

compute shape functions as polynomials using general algorithm

virtual void interpolationData()

defines reference element interpolation data

interp defines Reference Element interpolation data

void pointCoordinates()

builds virtual coordinates of moment dofs

virtual number_t sideDofsMap(const number_t &n, const number_t &i, const number_t &j, const number_t &k = 0) const

side dofs mapping

void sideNumbering()

local numbering on edges (side)