The phrase "a compelling demonstration of" is correct and usable in written English.
You can use it when describing an example or evidence that strongly supports a particular argument or idea.
Example: "The research provided a compelling demonstration of the effectiveness of the new treatment."
Alternatives: "a persuasive example of" or "a strong illustration of".
I believe that the unfolding presidential campaign provides a compelling demonstration of my previous claims.
The first, on Saturday night, provided a compelling demonstration of Elgar's range as an orchestral writer.
The upshot has been a compelling demonstration of his iron law in action.
Those swells are a sight to behold, and they provide a compelling demonstration of the Americans' basketball supremacy.
But that did not deter Shaun Pollock from giving a compelling demonstration of fast-medium bowling in unhelpful circumstances.
These results provide a compelling demonstration of the potential utility of very long molecular dynamics simulations in redesigning proteins well beyond their evolved stability and folding speed.
While it was eventually resolved through a complex deal that saw Ukraine buying gas from Russia (at full price) and Turkmenistan (at cut price) via a Swiss-registered Gazprom subsidiary, the dispute gave the EU a fit of the jitters: a compelling demonstration, Brussels said, of the dangers of becoming overdependent on one source of supply.
This study provides a compelling demonstration that, in spite of substantial sequence length, there are significant limitations with single-locus phylogenetics.
Yet even in this month, when designers are strutting their wares on runways all over New York, there's unlikely to be a more compelling demonstration of how clothes make the woman than the one provided by Ms. Packer, a longtime, multifarious interpreter of Shakespeare.
It was a pretty compelling demonstration of Google's ARKit competitor, and now its live for everyone to check out, including a couple of key product licenses.
