Defines a 6-node pentahedral finite element using P1
interpolation in local coordinates (s.x,s.y)
and Q1
isoparametric interpolation in local coordinates (s.x,s.z)
and (s.y,s.z)
.
More...


Public Member Functions | |
Penta6 () | |
Default Constructor. | |
Penta6 (const Element *element) | |
Constructor when data of Element el are given. More... | |
~Penta6 () | |
Destructor. | |
void | set (const Element *el) |
Choose element by giving its pointer. | |
void | setLocal (const Point< real_t > &s) |
Initialize local point coordinates in element. More... | |
Point< real_t > | DSh (size_t i) const |
Return derivatives of shape function of node i at a given point. More... | |
real_t | getMaxEdgeLength () const |
Return Maximum length of pentahedron edges. | |
real_t | getMinEdgeLength () const |
Return Mimimum length of pentahedron edges. | |
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 6-node pentahedral finite element using P1
interpolation in local coordinates (s.x,s.y)
and Q1
isoparametric interpolation in local coordinates (s.x,s.z)
and (s.y,s.z)
.
The reference element is the cartesian product of the standard reference triangle with the line [-1,1]
. The nodes are ordered as follows: Node 1 in reference element is at s=(1,0,0) Node 2 in reference element is at s=(0,1,0) Node 3 in reference element is at s=(0,0,0) Node 4 in reference element is at s=(1,0,1) Node 5 in reference element is at s=(0,1,1) Node 6 in reference element is at s=(0,0,1)
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.
Constructor & Destructor Documentation
Member Function Documentation
Initialize local point coordinates in element.
- Parameters
-
[in] s Point in the reference element This function computes jacobian, shape functions and their partial derivatives at s
. Other member functions only return these values.
Return derivatives of shape function of node i
at a given point.
Member function setLocal() must have been called before in order to calculate relevant quantities.
Calculate shape function of node i
at a given point s
.
- Parameters
-
[in] i Local node label [in] s Point in the reference triangle where the shape function is evaluated
|
inherited |
Return determinant of jacobian.
If the transformation (Reference element -> Actual element) is not affine, member function setLocal() must have been called before in order to calcuate relevant quantities.
Localize a point in the element.
Return actual coordinates in the reference element. If the transformation (Reference element -> Actual element) is not affine, member function setLocal() must have been called before in order to calcuate relevant quantities.