The article "Verlaufsform" on the German Wikipedia links to "continuous and progressive aspects" in English.
According to English WP, "continuous" denote a current state, like "She is wearing a red gown", while "progressive" denotes a current event or action, like "It is raining". English does not distinguish between these two, but apparently some other languages do.
There exists the term "Progressiver Aspect" and "Progressiv", which is used for the German am-Progressiv, but how would "continuous aspect" be translated? Kontinuierlicher Aspekt?