oomph::TElementShape< 1, 4 > Class Reference

#include <Telements.h>

Public Member Functions
void	local_coordinate_of_node (const unsigned &j, Vector< double > &s) const
	Return local coordinates of node j. More...
void	shape (const Vector< double > &s, Shape &psi) const
	Shape function for specific TElement<1,4> More...
void	dshape_local (const Vector< double > &s, Shape &psi, DShape &dpsids) const
	Derivatives of shape functions for specific TElement<1,4> More...
void	d2shape_local (const Vector< double > &s, Shape &psi, DShape &dpsids, DShape &d2psids) const

Member Function Documentation

d2shape_local()

void oomph::TElementShape< 1, 4 >::d2shape_local ( const Vector< double > &  s, Shape &  psi, DShape &  dpsids, DShape &  d2psids  ) const

inline

Second derivatives of shape functions for specific TElement<2,4>: d2psids(i,0) = \( \partial^2 \psi_j / \partial s_0^2 \)

    {
      throw OomphLibError(
        "Not checked yet", OOMPH_CURRENT_FUNCTION, OOMPH_EXCEPTION_LOCATION);
 
      // ALH: Don't know why object qualifier is needed
      this->dshape_local(s, psi, dpsids);
 
      d2psids(0, 0) = 0.0;
      d2psids(1, 0) = 0.0;
      d2psids(2, 0) = 0.0;
      d2psids(3, 0) = 0.0;
    }

References OOMPH_CURRENT_FUNCTION, OOMPH_EXCEPTION_LOCATION, and s.

dshape_local()

void oomph::TElementShape< 1, 4 >::dshape_local ( const Vector< double > &  s, Shape &  psi, DShape &  dpsids  ) const

inline

Derivatives of shape functions for specific TElement<1,4>

    {
      // ALH: Don't know why object qualifier is needed
      this->shape(s, psi);
 
      dpsids(0, 0) = -13.5 * s[0] * s[0] + 18.0 * s[0] - 5.5;
      dpsids(1, 0) = 40.5 * s[0] * s[0] - 45.0 * s[0] + 9.0;
      dpsids(2, 0) = -40.5 * s[0] * s[0] + 36.0 * s[0] - 4.5;
      dpsids(3, 0) = 13.5 * s[0] * s[0] - 9.0 * s[0] + 1.0;
    }

References s, and oomph::OneDimLagrange::shape().

local_coordinate_of_node()

void oomph::TElementShape< 1, 4 >::local_coordinate_of_node ( const unsigned &  j, Vector< double > &  s  ) const

inline

Return local coordinates of node j.

    {
      s.resize(1);
      switch (j)
      {
        case 0:
          s[0] = 0.0;
          break;
 
        case 1:
          s[0] = (1.0 / 3.0);
          break;
 
        case 2:
          s[0] = (2.0 / 3.0);
          break;
 
        case 3:
          s[0] = 1.0;
          break;
 
        default:
          std::ostringstream error_message;
          error_message
            << "Element only has four nodes; called with node number " << j
            << std::endl;
 
          throw OomphLibError(error_message.str(),
                              OOMPH_CURRENT_FUNCTION,
                              OOMPH_EXCEPTION_LOCATION);
      }
    }

References j, OOMPH_CURRENT_FUNCTION, OOMPH_EXCEPTION_LOCATION, and s.

shape()

void oomph::TElementShape< 1, 4 >::shape ( const Vector< double > &  s, Shape &  psi  ) const

inline

Shape function for specific TElement<1,4>

    {
      psi[0] = 0.5 * (1.0 - s[0]) * (3.0 * s[0] - 2.0) * (3.0 * s[0] - 1.0);
      psi[1] = -4.5 * s[0] * (1.0 - s[0]) * (3.0 * s[0] - 2.0);
      psi[2] = 4.5 * s[0] * (1.0 - s[0]) * (3.0 * s[0] - 1.0);
      psi[3] = 0.5 * s[0] * (3.0 * s[0] - 2.0) * (3.0 * s[0] - 1.0);
    }

References s.

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

• Telements.h