To describe a 2-Node planar line finite element. More...
#include "Line2.h"
Public Member Functions | |
Line2 () | |
Default Constructor. | |
Line2 (const Element *el) | |
Constructor for an element. | |
Line2 (const Side *side) | |
Constructor for a side. | |
Line2 (const Edge *edge) | |
Constructor for an edge. | |
~Line2 () | |
Destructor. | |
real_t | getLength () const |
Return element length. | |
Point< real_t > | getNormal () const |
Return unit normal vector to line. | |
Point< real_t > | getTangent () const |
Return unit tangent vector to line. | |
real_t | Sh (size_t i, real_t s) const |
Calculate shape function of a given node at a given point. | |
std::vector< Point< real_t > > | DSh () const |
Return partial derivatives of shape functions of element nodes. | |
Point< real_t > | getRefCoord (const Point< real_t > &x) |
Return reference coordinates of a point x in element. | |
bool | isIn (const Point< real_t > &x) |
Check whether point x is in current line element or not. | |
real_t | getInterpolate (const Point< real_t > &x, const LocalVect< real_t, 2 > &v) |
Return interpolated value at a given point. | |
Public Member Functions inherited from FEShape | |
FEShape () | |
Default Constructor. | |
FEShape (const Element *el) | |
Constructor for an element. | |
FEShape (const Side *sd) | |
Constructor for a side. | |
virtual | ~FEShape () |
Destructor. | |
real_t | Sh (size_t i) const |
Return shape function of node i at given point. | |
real_t | Sh (size_t i, Point< real_t > s) const |
Calculate shape function of node i at a given point s . | |
real_t | getDet () const |
Return determinant of jacobian. | |
Point< real_t > | getCenter () const |
Return coordinates of center of element. | |
Point< real_t > | getLocalPoint () const |
Localize a point in the element. | |
Point< real_t > | getLocalPoint (const Point< real_t > &s) const |
Localize a point in the element. | |
To describe a 2-Node planar line finite element.
Defines geometric quantities associated to 2-node linear segment element P1
in the space. The reference element is the segment [-1,1]
. Note that the line length is not checked unless the function check is called.
std::vector< Point< real_t > > DSh | ( | ) | const |
Return partial derivatives of shape functions of element nodes.
dsh(i)
.x, dsh(i)
.y, are partial derivatives of the i-th shape function. Return interpolated value at a given point.
[in] | x | Point where interpolation is evaluated (in the reference element). |
[out] | v | Computed value. |
Return reference coordinates of a point x
in element.
Only the x-coordinate of the returned value has a meaning
real_t Sh | ( | size_t | i, |
real_t | s | ||
) | const |
Calculate shape function of a given node at a given point.
[in] | i | Node number (1 or 2). |
[in] | s | Localization of point in natural coordinates (must be between -1 and 1 ). |