Scoring another chart double, the singer's debut LP 19 also rises one place to number two. The Strokes score the highest new entry with Angles at number three.
Also debuting in the top ten are Chris Brown and Green Day at number eight and nine with their respective releases F.A.M.E. and Awesome as F**k.
Nicole Scherzinger's debut solo collection Killer Love charts at number 14, despite the top 10 success of both singles 'Poison' and 'Don't Hold Your Breath'.
Meanwhile, Ronan Keating's latest release When Ronan met Burt enters at number 20.
One final new entry in the top 40 comes from Katherine Jenson, who sits at number 36 with Sweetest Love.
This week's top 10 in full:
1. (1) Adele: '21'
2. (3) Adele: '19'
3. (*) The Strokes: 'Angles'
4. (2) Elbow: 'Build A Rocket Boys!'
5. (5) Rihanna: 'Loud'
6. (4) Bruno Mars: 'Doo-wops & Hooligans'
7. (6) Jessie J: 'Who You Are'
8. (*) Chris Brown: 'F.A.M.E.'
9. (*) Green Day: 'Awesome as F**k'
10. (8) Imelda May: 'Love Tattoo'
> Click here to see this weeks Irish singles chart