Triang3 Class Reference
Defines a 3-Node (P1) triangle.
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#include <Triang3.h>
Inheritance diagram for Triang3:
Public Member Functions | |
| Triang3 () | |
| Default Constructor. | |
| Triang3 (const Element *el) | |
| Constructor for an element. | |
| Triang3 (const Side *sd) | |
| Constructor for a side. | |
| ~Triang3 () | |
| Destructor. | |
| void | set (const Element *el) |
| Choose element by giving its pointer. | |
| void | set (const Side *sd) |
| Choose side by giving its pointer. | |
| real_t | Sh (size_t i, Point< real_t > s) const |
| Calculate shape function of node at a given point. | |
| std::vector< Point< real_t > > | DSh () const |
| Return partial derivatives of shape functions of element nodes. | |
| real_t | getInterpolate (const Point< real_t > &x, const LocalVect< real_t, 3 > &v) |
Return interpolated value at point of coordinate x | |
| real_t | check () const |
| Check element area and number of nodes. | |
| Point< real_t > | Grad (const LocalVect< real_t, 3 > &u) const |
| Return constant gradient vector in triangle. | |
| real_t | getMaxEdgeLength () const |
| Return maximal edge length of triangle. | |
| real_t | getMinEdgeLength () const |
| Return minimal edge length of triangle. | |
 Public Member Functions inherited from triangle | |
| triangle () | |
| Default Constructor. | |
| triangle (const Element *el) | |
| Constructor for an element. | |
| triangle (const Side *sd) | |
| Constructor for a side. | |
| virtual | ~triangle () |
| Destructor. | |
| real_t | getArea () |
| Return element area. | |
| Point< real_t > | getCenter () const |
| Return coordinates of center of element. | |
| Point< real_t > | getCircumcenter () const |
| Return coordinates of circumcenter of element. | |
| real_t | getCircumRadius () const |
| Return radius of circumscribed circle of triangle. | |
| real_t | getInRadius () const |
| Return radius of inscribed circle of triangle. | |
| Point< real_t > | getRefCoord (const Point< real_t > &x) const |
Return reference coordinates of a point x in element. | |
| real_t | getMaxEdgeLength () const |
| Return maximal edge length of triangle. | |
| real_t | getMinEdgeLength () const |
| Return minimal edge length of triangle. | |
| bool | isIn (const Point< real_t > &x) const |
Check whether point x is in current triangle or not. | |
| bool | isStrictlyIn (const Point< real_t > &x) const |
Check whether point x is strictly in current triangle (not on the boundary) or not. | |
| 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
Defines a 3-Node (P1) triangle.
The reference element is the rectangle triangle with two unit edges.
- Copyright
- GNU Lesser Public License
Constructor & Destructor Documentation
◆ Triang3() [1/2]
Constructor for an element.
The constructed triangle is an element in a 2-D mesh.
◆ Triang3() [2/2]
Constructor for a side.
The constructed triangle is a side in a 3-D mesh.
Member Function Documentation
◆ check()
| real_t check | ( | ) | const |
Check element area and number of nodes.
- Returns
-
> 0: m is the length -
= 0: zero length (=> Error)
-
◆ DSh()
| std::vector< Point< real_t > > DSh | ( | ) | const |
Return partial derivatives of shape functions of element nodes.
- Returns
- Vector of partial derivatives of shape functions e.g.
dsh[i-1].x,dsh[i-1].y, are partial derivatives of the i-th shape function.
◆ Grad()
Return constant gradient vector in triangle.
- Parameters
-
[in] u Local vector for which the gradient is evaluated
◆ Sh()
| real_t Sh | ( | size_t | i, |
| Point< real_t > | s | ||
| ) | const |
Calculate shape function of node at a given point.
- Parameters
-
[in] i Label (local) of node [in] s Natural coordinates of node where to evaluate