Are there any similarities between the works of Dostoevsky and Ayn Rand's?

[Dostov]

are there?

[K.]

Perhaps on some level, but they are fundamentally opposed to each other in terms of philosophy and outlook.  Rand's glorification of the individual at the expense of all else is foreign to Dostoevsky (compare C&P with the Fountainhead).   The only thing I can imagine the two agreeing on would be a hatred of the communist regime that took over in Russia.

[Parsifal]

Rand was an admirer of Dostoyevsky, whom she read in the original Russian. 

She admitted that her 'sense of life' was the opposite of his, but always cited him as one of her great inspirations as a writer (second only to Victor Hugo). 

[SFG75]

I would argue that her characters have more in common with Zarathustra.