In cases of frustration or argument, I have learned over the years that I need peace and quiet to manage my feelings. If we can take a break for 10 minutes or so, I'll usually get over whatever was upsetting me and move on. I know for many other people that this is not the case and most of the people I've found who react this way are men. Women, according to my high school psych class and a very brief survey of my friends and family, prefer to talk out frustrations to confirm that the relationship is still strong.
Therefore, I think it is best to find a middle ground between both parties. Everyone handles things differently. If you feel the need to talk it out, you need to make sure the other person understands that. If you like to let it go and walk away like I do, you have to make sure you're giving the other person what they need, too.
Personally, I think it is best to walk away and avoid falling to debased levels.