demos::crouzeixraviart::CrouzeixRaviart Class Reference

List of all members.

Public Member Functions

def __init__
def compute_basis_functions
def N
def dof
def nbf

Public Attributes

 Ns
 dofs
 polygon


Detailed Description

  Python implementation of the Crouzeix-Raviart element. 
  The corresponding C++ implementation is in the 
  file CrouzeixRaviart.cpp.

Definition at line 11 of file crouzeixraviart.py.


Member Function Documentation

def demos::crouzeixraviart::CrouzeixRaviart::__init__ (   self,
  polygon 
)

Constructor 

Definition at line 18 of file crouzeixraviart.py.

00018                              :  
00019     """ Constructor """
00020     self.Ns = []
00021     self.dofs = []
00022     self.polygon = polygon 
00023     self.compute_basis_functions()
00024 

def demos::crouzeixraviart::CrouzeixRaviart::compute_basis_functions (   self  ) 

Compute the basis functions and degrees of freedom  
and put them in Ns and dofs, respectively. 

Definition at line 25 of file crouzeixraviart.py.

00025                                    : 
00026     """ 
00027     Compute the basis functions and degrees of freedom  
00028     and put them in Ns and dofs, respectively. 
00029     """
00030     polspace = bernstein(1,triangle,"a")
00031     N = polspace[0]
00032     variables = polspace[1]
00033 
00034     for i in range(0,3): 
00035       line = triangle.line(i)
00036       dofi = line.integrate(N) 
00037       self.dofs.append(dofi)
00038 
00039     for i in range(0,3): 
00040       equations = []
00041       for j in range(0,3): 
00042         equations.append(relational(self.dofs[j], dirac(i,j)))
00043       sub = lsolve(equations, variables) 
00044       Ni = N.subs(sub) 
00045       self.Ns.append(Ni); 
00046 

def demos::crouzeixraviart::CrouzeixRaviart::dof (   self,
  i 
)

Definition at line 48 of file crouzeixraviart.py.

00048 : return self.dofs[i]

def demos::crouzeixraviart::CrouzeixRaviart::N (   self,
  i 
)

Definition at line 47 of file crouzeixraviart.py.

00047 : return self.Ns[i]

def demos::crouzeixraviart::CrouzeixRaviart::nbf (   self  ) 

Definition at line 49 of file crouzeixraviart.py.

00049                : return len(self.Ns)
00050 
00051 


Member Data Documentation

Definition at line 21 of file crouzeixraviart.py.

Definition at line 20 of file crouzeixraviart.py.

demos::crouzeixraviart::CrouzeixRaviart::polygon

Definition at line 22 of file crouzeixraviart.py.


The documentation for this class was generated from the following file:

Generated on Mon Aug 31 16:17:05 2009 for SyFi by  doxygen 1.5.9