Module 3 :
Lecture 8 : Higher Order Approximation
 

 

Application of Boundary Conditions for Piecewise Quadratic Basis Functions

After all the equations are assembled, the standard essential boundary condition (i.e., the Dirichlet boundary condition) is applied. The standard essential boundary condition is



  (8.35)
or,

   
  (8.36)

This boundary condition is applied using the procedure described in section 7.1. Thus, we modify the global stiffness matrix and the global force vector as follows:

,

   
,

for j = 2, .., ,  
for j = 2, .., (8.37)