8.) After Entire Banded Matrix and Rhs Vector are formed - Apply B.C.

      i.e.         evaluate         

      a.) All   for    = interior node

      b.) Most   for    = Boundary node

 

 

Assume Type II B.C. given across element

Then for boundary node B     

     

 

       is linear ranging from  on I and II

(Recall your 1-D integration formula sheet)

 

 

Alternately on Type II boundary:

        ;     over  boundary nodes only

   

 

 

Consider Type III Boundary Conditions:

     

 

                    

Most Generally,   

        

        

        

        

 

 

Type I boundary : ex. 

            [A]{U}={b}

After element assembly :