Line3 Class Reference
To describe a 3-Node quadratic planar line finite element. More...
#include <Line3.h>
Inheritance diagram for Line3:
Public Member Functions | |
| Line3 () | |
| Default Constructor. | |
| Line3 (const Element *el) | |
| Constructor for an element. | |
| Line3 (const Side *sd) | |
| Constructor for a side. | |
| ~Line3 () | |
| Destructor. | |
| void | setLocal (real_t s) |
| Initialize local point coordinates in element. | |
| LocalVect< Point< real_t >, 3 > | DSh () const |
| Return partial derivatives of shape functions of element nodes. | |
| Point< real_t > | getLocalPoint () const |
| Return actual coordinates of localized 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. | |
Detailed Description
To describe a 3-Node quadratic planar line finite element.
Defines geometric quantities associated to 3-node quadratic element P2 in the space. The reference element is the segment [-1,1]. The user must take care to the fact that determinant of jacobian and other quantities depend on the point in the reference element where they are calculated. For this, before any utilization of shape functions or jacobian, function setLocal() must be invoked.
Element nodes are ordered as the following: the left one, the central one and the right one.
- Copyright
- GNU Lesser Public License
Member Function Documentation
◆ DSh()
Return partial derivatives of shape functions of element nodes.
- Returns
- LocalVect instance of partial derivatives of shape functions e.g.
dsh(i).x,dsh(i).y, are partial derivatives of the i-th shape function.
- Note
- The local point at which the derivatives are computed must be chosen before by using the member function setLocal