How do you suggest getting your work viewed?

Once you’re set up with your portfolio/website you really do need have your work seen. I am out of the loop, but recently asked an agent and they did recommend making appointments with art directors, as I had done when starting out, dropping off your folio with them or hopefully seeing them face-to-face. If the latter, do ask advice on who they would recommend you see next and perhaps what they think of your work and suitability for jobs etc. You’ll soon get a handle on where your place is in the market and can pitch more effectively from there. You may even have to have a total re-think and completely re-work your portfolio as I once had to. What a difference it made!
Another idea is to use a company who have up-to-date records of addresses and contacts across the board in the industry. One company I know of is www.bikinilists.com but there are others; so do check out who feels right for you or if this approach feels right. It doesn’t work for everyone and I haven’t tried it, so can’t really comment on its effectiveness.
The Association of Illustrators has a showcase annual called Images. You can submit artwork into various categories once a year and they have a selection committee who choose the best works. They then are compiled into a large book which is sent out to thousands of art directors across the various fields in the industry globally. I’m not sure if the Society of Illustrators do this too (www.societyillustrators.org) – if you’re US based, do check them out.
Sending postcards, samples of your work with your contact details etc directly to art directors is another idea – some prefer emailed images to reduce the carbon footprint.