Having landed back to back titles in 2009 and 2010, Williams has been unfit to play at the tournament in the last three years, but the 33 year old stretched her winning run in Dubai to 12 matches in seeing off Ivanovic, Asics Noosa Tri 10 Kids
Elsewhere in the second round, Alize Cornet beat Kirsten Flipkens 6 3 6 4 and Jelena Jankovic saw off Lucie Safarova 7 5 6 4 to set up a quarter final clash with top seed Serena Williams.
Another former Dubai champion Caroline Wozniacki is through to the quarter finals after a 6 4 6 4 win against Annika Beck. The Dane will next face Sorana Cirstea, who defeated fourth seed Sara Errani 6 2 5 7 6 1.
a 4 1 lead in the opening set.
11 career meetings.
"I definitely learned a lot from the last time we played each other. I definitely think I approached this match differently."
"I'm just trying to play well every day, take one point at a time and learn from my mistakes every match. I'm trying to go out there relaxed with a clear mind," Williams said.
Second seed Agnieszka Radwanska was sent crashing out in the second round of the Dubai Duty Free Tennis Championship after suffering a 6 4 6 1 defeat at the hands of Flavia Pennetta.
Flavia Pennetta shocks Agnieszka Radwanska to reach quarters
Crushing winWilliams eased into the last eight after clinching a crushing 6 2 6 1 victory over Ana Ivanovic in just 56 minutes.
who she has now defeated in nine of Asics Ocean Pack
But the world No 22 went on to completely dominate the rest of the contest, dropping just one more game as she booked a quarter final date with Venus Williams.
Pennetta, who lost her last three matches against Radwanska in straight sets, looked to be in trouble when the Pole eased into Asics Tiger Trainers
"But today I played really well. My idea of what I had to do was clear, and I tried to go for the points all the time. I made a few mistakes in the beginning I was down 4 1, but every game was Asics Tiger Shoes Price a big fight but I kept going and stayed aggressive and it worked in the end."
"I'm of course really happy. It was the first time I've beaten her in six years I thought I would never beat her again," Pennetta told the WTA's official website.
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