Dice the onion, carrot, and celery to make roughly equal-sized pieces.
Add oil and butter to the bottom of pan to heat. When hot, add diced vegetables and saute on medium heat for 5 minutes.
Add garlic, herbs, and tomato paste, and cook for 2 more minutes until tomato paste takes on a deep vibrant color.
After this is done, sprinkle flour over the vegetables. Cook 1 more minute to cook the flour.
By this time the meat should be done. Add the meat and juices to the pan and cook for a few minutes to develop added flavor in the meat and fonde on the bottom of the pan.
Deglaze with the beer, then add beef stock and potatoes, and cook on medium until the potatoes are fork tender, about 15 minutes. While this is happening is a good time to make the dumplings.