By: Christina Bellantoni and Terence Burlij

Secretary of Health and Human Services Kathleen Sebelius. Photo by Alex Wong/Getty Images

House Democrats are getting a debrief on the health care law Wednesday, following a series of problems with the rollout of an insurance exchange website and as the GOP steps up its criticism in the aftermath of a shutdown fueled by the party's distaste of the law.

Republicans have seized on the issue, putting out a video mocking an online chat from HealthCare.gov on a new website designed to highlight the glitches that have plagued people attempting to sign up or get information.

Watch here or below.

The president, meanwhile, is keeping up his defense of the law. He released a video message to his most fervent supporters via the Organizing for Action spinoff from his re-election campaign. He sounded a similar message of frustration with the kinks in the site, but stressed instead the elements of the law that are working, including the ability to keep someone on their parents' insurance plan until the age of 26.

"We've got people working overtime in a tech surge to boost capacity and address the problems. We're going to get it fixed," he said.

Watch the video here or below.

That comes after the administration announced acting Office of Management and Budget director Jeff Zients will lead the charge of getting the site improved.

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Parties at odds over health care law