I am not a teacher.
"Compelling", the adjective, is adspeak. If you use it at all, you will sound like your process is all TVed up. It is an empty word used by semi-literates who think it makes them seem more important. If ever you find that you've written it, delete it, and use a word or phrase that says what you actually mean, instead.
For most speakers of English on both sides of the pond, 'a compelling argument' is as acceptable an expression as 'a cogent argument'. I am in the business of helping learners acquire acceptable English, not of dictating my personal ideas on what the best style is.
In this particular case, I feel that there are times when an argument may be compelling but nor necessarily cogent.
Thank you for drawing my attention to two interesting words: 'cogent' and 'vapid'.
They are definitely worth learning.
But coming back to my post 'compelling' vs 'convincing'.
The sentence I cited is taken from the article 'Students struggle for words', published on March 3, 2011 in the 'Wall Street Journal'. The author is Diana Middleton. Frankly, I do not think such a reputable magazine would employ staff with a limited knowledge of English. Being a non-native speaker, I can't argue with you, but I do come across the word 'compelling' in solid and reputable publications in English.
No ill grace or hard feelings on my part. Actually, the reason I post questions on this forum is to improve my English and, I have been quite open about it, to convey the information I receive to my students. Knowing how popular American English is, officially we stick to British English, and I have always thought it is not an issue really, I prefer to supply my students with more or less standard version that is acceptable and understandable everywhere.
Your information is so unusual (LOL) and interesting. Do not hide in the woodwork next time I post a question.
It's a reference to a movie, "Twelve Monkeys". The Brad Pitt character is somewhat mentally unbalanced but quite clever. He complains to anyone who'll listen about the adverse effect that the media has had on the mind of the average person. He says that their "process" is that. Ironic, because I saw it on TV.
I hope I didn't insult you too much---just the right amount. I wasn't talking about you, I'm sure you understand.