Example 1 (c).  Find the inner product of   [Graphics:Images/GalerkinMod_gr_15.gif]  and  [Graphics:Images/GalerkinMod_gr_16.gif]  over  [Graphics:Images/GalerkinMod_gr_17.gif].   

Solution 1 (c).

[Graphics:../Images/GalerkinMod_gr_26.gif]

[Graphics:../Images/GalerkinMod_gr_27.gif]

 

 

The details of this computation.

[Graphics:../Images/GalerkinMod_gr_28.gif]

[Graphics:../Images/GalerkinMod_gr_29.gif]

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2005