Example 1 (a).  Find the inner product of   [Graphics:Images/GalerkinMod_gr_9.gif]  and  [Graphics:Images/GalerkinMod_gr_10.gif]  over [Graphics:Images/GalerkinMod_gr_11.gif].  

Solution 1 (a).

[Graphics:../Images/GalerkinMod_gr_18.gif]


[Graphics:../Images/GalerkinMod_gr_19.gif]

 

 

The details of this computation.

[Graphics:../Images/GalerkinMod_gr_20.gif]




[Graphics:../Images/GalerkinMod_gr_21.gif]

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2005