Diffpack Documentation

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MovingLS Class Reference

smooth derivatives of finite element fields by moving least squares. More...

#include <MovingLS.h>

Inheritance diagram for MovingLS::

List of all members.

Public Methods
	MovingLS ()
	~MovingLS ()
void	setBasisType (const String &basis_tp)
void	setPrmInWeight (real c_)
void	value (NUMT &field_value, Ptv(NUMT) &field_gradient, const FieldsFEatItgPt &field, int field_no, int node)
void	smoothFields (FieldsFE &smooth_field, const FieldsFEatItgPt &field, const VecSimple(int) *components_to_be_smoothed=NULL)
void	value (NUMT &field_value, Ptv(NUMT) &field_gradient, const Vec(NUMT) &values, const Mat(real) &coords, const Ptv(real) &x_G)
void	initSupport (GridFE &grid, const FieldsFEatItgPt &field)

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Detailed Description

smooth derivatives of finite element fields by moving least squares.

NAME: MovingLS - smooth derivatives of finite element fields by moving least squares

DESCRIPTION:

The class implements the moving least square interpolant algorithm, by Tabbara, Blacker and Belytschko, for computing smooth and accurate derivatives at fields defined at scattered points only.

Reference: M. Tabbara, T. Blacker and T. Belytschko. Finite element derivative recovery by moving least square interpolants. Comput. Methods Appl. Mech. Engrg., vol 117 (1994), 211-223. The implementation follows the notation in the paper.

EXAMPLE:

Here is an example of how to use class for interpolating a value in a cloud of n point values.

  MovingLS m;
  

  m.setBasisType("QuadPolyn");  // interpolate using quadratic polynomials
  

  const int n = 6;     // no of points with known function values
  const int nsd = 2;   // no of space dimensions

  Mat(real) coords(n, nsd);
  Vec(real) values(n);

  // fill coords and values
  

  Ptv(real) x_G(nsd);  // point where we want to interpolate a value
  

  real f;              // interpolated function value at x_G
  Ptv(real) grad_f;    // interpolated gradient of function at x_G

  
  m.value(f, grad_f, values, coords, x_G);

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Constructor & Destructor Documentation

MovingLS::MovingLS ( )

MovingLS::~MovingLS ( ) [inline]

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Member Function Documentation

void MovingLS::initSupport ( GridFE & grid, const FieldsFEatItgPt & field )

void MovingLS::setBasisType ( const String & basis_tp )

void MovingLS::setPrmInWeight ( real c_ ) [inline]

void MovingLS::smoothFields ( FieldsFE & smooth_field, const FieldsFEatItgPt & field, const VecSimple(int) * components_to_be_smoothed = NULL )

void MovingLS::value ( NUMT & field_value, Ptv(NUMT) & field_gradient, const Vec(NUMT) & values, const Mat(real) & coords, const Ptv(real) & x_G )

void MovingLS::value ( NUMT & field_value, Ptv(NUMT) & field_gradient, const FieldsFEatItgPt & field, int field_no, int node )

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

• MovingLS.h

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