Does Prayer Change God's Heart?

Although I know prayer changes my heart, I’m not sure if it changes God's heart.  I think prayer makes God happy because he wants to communicate with his children; and He wants His children to want to communicate with Him, to choose to include Him in our lives.  He wants to be the most important part of our lives, important enough that we will willingly spend time each day sharing our sorrows and our joys with Him. I don't know if that will change His heart though because He knows all that is going on in our lives; and, while we may not like something God does, we must acknowledge that He always does what is best for us.  He wants us to surrender completely to Him and let Him act through us. 

Now, back to the  question: does prayer change God’s heart?  We should not pray for the purpose of changing God's heart--we can't, and we shouldn't--there is nothing that needs to be changed about God's heart--it is perfect.  Instead, we should pray that He will give us the strength and wisdom to accept His will for our lives.  When we pray the Lord's Prayer, we say "Thy will be done on earth as it is in heaven." We should always pray that all things be done in accordance with His will--He is the potter; we are the clay.  I need to let Jesus come into my heart and make Him feel so welcome and necessary that He will never leave.