Connacht have won all four matches played at the Sportsground in all competitions in 2013 but their only win over a fellow Irish province this season came in round five when they beat Leinster 34-6 in Galway.
Last time the two sides met, Ulster prevailed 25-0 at Ravenhill but at the Sportsground last season, Connacht ran out 26-21 winners.
And Elwood is determined to see his side continue their good form of late, naming an unchanged starting XV.
"We were obviously happy with last week's win against Edinburgh. It was a very good victory for us but we're not getting carried as it means nothing if we can't back it up and have consistency now in this derby match against Ulster," he said.
"We have a point to prove in that were nilled up in Belfast and that's a big incentive. We were disappointed with our away performances in the derby fixtures so we have another opportunity for four points here.
"We're looking forward to a physical contest. You can't shy away from the physicality. You have to be able to go toe-to-toe up front with Ulster and you have to be able to control the break down area. And that's key for us this weekend.
"We'll have the extra spice of the derby game at home. They're looking for top four and we still believe we have a lot to play for with three to go. So it should be ding dong."
Ulster, meanwhile, make five changes to the side that downed Newport Gwent Dragons to move back to the top of the RaboDirect PRO12 table while captain Johann Muller returns to the bench.
Jared Payne has recovered from the ankle knock that he suffered against Saracens and starts at full-back.
Chris Henry, Andrew Trimble and Paddy Jackson, who were rested against the Dragons, also return to the side.
In the only other personnel change, Lewis Stevenson starts in the second-row, with Iain Henderson named as a substitute, and Trimble is determined to see Ulster take another step closer to a home RaboDirect PRO12 semi-final.
"I don't know how many games we went undefeated at the start season but if we don't back it up now it wouldn't be worth anything so we're putting a lot of pressure on ourselves to back it up," he said.
"Connacht always perform well at home, they always produce a big performance.
"They have turned over a lot of good sides at the Sportsground over the years and it's a massive challenge to beat them down there and it will be very difficult,
"This is a big challenge but we find ourselves in a different situation, I think both sides have come on quite a lot of the last few years and it makes the game a lot bigger and we'll looking forward to the challenge of going down there."
At Sportsground , 7.45pm.
Referee: Peter Fitzgibbon (IRFU, 47th competition game)
Assistant Referees: Leo Colgan, B O'Connell (both IRFU)
Citing Commissioner: Eugene Ryan (IRFU)
TMO: Seamus Flannery (IRFU)
Live on TG4 and BBC NI
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