What are some remedies to expedite the process of getting facial swelling to go down? (Photos)

I recommend following up with a cosmetic dermatologist for after care. Icing the area, prednisone, ibuprofen and venus legacy treatments can help reduce swelling. See an expert. Best, Dr. Emer

Purchase some Arnica Gel.  Apply it several times a day.  Continue to apply ice and keep your head elevated.   Avoid exercise and heat.  You can also take diphenhydramine (Benadryl).  Be patient and give it a few more days.  Best of luck.

This is quite common after PRP injections. In addition to the ibuprofen, some natural antiinflammatories such as turmeric and bromelain can be found over the counter and can be helpful in decreasing the swelling. I would also recommend you check out YouTube videos on lymphatic massage drainage. You can perform these at home and it does not hurt to do it as often as you can. If there is a particular event you have to be looking your best at, then Prednisone may be helpful to speed up the healing process but may result in a decreased long term response to the recent PRP injection that you just had. 

Swelling is not uncommon after these types of procedures.  I would put yourself on a regular regimen of 800 mg of Ibuprofen 3 times a day with food as long as its okay with your primary physician.  Prednisone, Loratadine (or other over the counter anti-allergy medications) each morning and Benadryl at night can all help.  Low salt diet, try to keep yourself on the colder side, elevate your head when you sleep at night and ice anytime are good measures too.  

Ice compress can be helpful for the first 48 hours. Avoiding exercise and alcohol are a must. Benadryl at night and Allegra during the day can also help. I have had good results with acupuncture as well.
You should not take ibuprofen or steroids because this blocks the healing cascade that PRP induces. 
 The reality is that it can take 4-7 days for this to clear up in some cases. The above will help but PRP causes swelling in order to stimulate its desired effect and under the eye will look puffy with only a small amount of swelling.