SAN JOSE — First it was the San Jose Arena, then Compaq Center and now HP Pavilion. But the place hockey fans call the Shark Tank will soon officially be known as the SAP Center at San Jose.

City officials have finalized a deal with German software giant SAP, whose founder happens to be the San Jose Sharks’ hockey team majority owner Hasso Plattner. A City Council vote is expected to be scheduled for June 18 at a committee meeting Wednesday afternoon. SAP was said to be interested in the naming rights back in March when HP’s chief executive, Meg Whitman, was reported to be seeking an early exit from the deal.

“All the pieces of the deal have been reached,” Mayoral spokeswoman Michell McGurk said.

A report detailing the terms was not expected to be released until Friday, said San Jose spokesman David Vossbrink.

But a city description of the upcoming agenda item described it as a deal between Hewlett-Packard, San Jose Arena Management and the city to terminate the current naming rights agreement and approve a new five-year deal with SAP Global Marketing Inc. to rename the San Jose Arena SAP Center at San Jose. The city would receive $1.675 million annually for a total of $8.375 million over the term of the deal.

Under the current deal, HP is paying $3.25 million a year for the naming rights through 2015. San Jose, which owns the arena, and the Sharks split the proceeds, which provides $1.625 million for each.

McGurk said the deal is essentially the same for SAP as with HP, adding a couple extra years to the contract.

“My understanding is it’s pretty much the same as what the deal has been with HP, just a different name and continuing it a couple additional years,” McGurk said.

The $162.5 million arena opened in 1993 and got $16.5 million worth of improvements in 2007. It has hosted the 1997 National Hockey League All-Star Game, the 1999 NCAA Women’s Basketball Final Four Championship, the annual SAP Open tennis tournament and the 1996 U. S. Figure Skating Championships. The arena also has been the venue for concerts by former Beatle Paul McCartney, the Rolling Stones, Bruce Springsteen and Barbra Streisand, as well as the Arena Football League’s San Jose Sabercats and the National Lacrosse League’s San Jose Stealth.

San Jose reached a naming rights deal for the arena in 2000 with computer maker Compaq, which rebranded it as the Compaq Center at San Jose. HP inherited that deal when the company acquired Compaq in 2002 and the arena became the HP Pavilion at San Jose, named after the company’s suite of laptops, PCs and printers.

But Palo Alto-based HP, Silicon Valley’s original tech startup, has hit a rough patch as the computer industry has shifted away from personal computers toward mobile phones and tablets. After spending $11 billion for the British software firm Autonomy in 2011, HP announced it had been misled about the deal and wrote down Autonomy’s value by $8.8 billion. The company also wrote off $8 billion for its 2008 purchase of Electronic Data Systems and nearly $1 billion for its 2010 acquisition of Palm. And HP also recently announced it will get rid of 29,000 jobs over the next few years to rein in expenses.

Wall Street analysts have criticized HP as sales have flattened and profits and stock prices slumped, and were expected to have a favorable view toward dropping the naming rights deal, which some saw as a costly extravagance.

Contact John Woolfolk at 408-975-9346. Follow him on Twitter at Twitter.com/johnwoolfolk1.