Example 1 (b).  Find the inner product of   [Graphics:Images/GalerkinMod_gr_12.gif]  and  [Graphics:Images/GalerkinMod_gr_13.gif]  over  [Graphics:Images/GalerkinMod_gr_14.gif].   

Solution 1 (b).

[Graphics:../Images/GalerkinMod_gr_22.gif]

[Graphics:../Images/GalerkinMod_gr_23.gif]

 

 

The details of this computation.

[Graphics:../Images/GalerkinMod_gr_24.gif]

[Graphics:../Images/GalerkinMod_gr_25.gif]

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2005