Tetra4 Class Reference
Defines a three-dimensional 4-node tetrahedral finite element using P1 interpolation.
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Inheritance diagram for Tetra4:
Public Member Functions | |
| Tetra4 () | |
| Default Constructor. | |
| Tetra4 (const Element *el) | |
Constructor when data of Element el are given. | |
| ~Tetra4 () | |
| Destructor. | |
| void | set (const Element *el) |
| Choose element by giving its pointer. | |
| real_t | Sh (size_t i, Point< real_t > s) const |
Calculate shape function of node i at a given point s. More... | |
| real_t | getVolume () const |
| Return volume of element. | |
| Point< real_t > | getRefCoord (const Point< real_t > &x) const |
Return reference coordinates of a point x in element. | |
| bool | isIn (const Point< real_t > &x) |
Check whether point x is in current tetrahedron or not. | |
| real_t | getInterpolate (const Point< real_t > &x, const LocalVect< real_t, 4 > &v) |
Return interpolated value at point of coordinate x | |
| Point< real_t > | EdgeSh (size_t k, Point< real_t > s) |
| Return edge shape function. More... | |
| Point< real_t > | CurlEdgeSh (size_t k) |
| Return curl of edge shape function. More... | |
| real_t | getMaxEdgeLength () const |
| Return maximal edge length of tetrahedron. | |
| real_t | getMinEdgeLength () const |
| Return minimal edge length of tetrahedron. | |
| std::vector< Point< real_t > > | DSh () const |
| Calculate partial derivatives of shape functions at element nodes. More... | |
| Public Member Functions inherited from FEShape | |
| FEShape () | |
| Default Constructor. | |
| FEShape (const Element *el) | |
| Constructor for an element. More... | |
| FEShape (const Side *sd) | |
| Constructor for a side. More... | |
| 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. More... | |
| real_t | getDet () const |
| Return determinant of jacobian. More... | |
| Point< real_t > | getCenter () const |
| Return coordinates of center of element. | |
| Point< real_t > | getLocalPoint () const |
| Localize a point in the element. More... | |
| Point< real_t > | getLocalPoint (const Point< real_t > &s) const |
| Localize a point in the element. More... | |
Detailed Description
Defines a three-dimensional 4-node tetrahedral finite element using P1 interpolation.
The reference element is the right tetrahedron with four unit edges interpolation.
- Copyright
- GNU Lesser Public License
Member Function Documentation
Calculate shape function of node i at a given point s.
s is a point in the reference tetrahedron.