Thus ended the Third Age. Yet it is said that bitterest of all the sorrows of that age was the parting of Arwen and Elrond. For they were sundered by the Sea and by a doom beyond the end of the world. For when the Great Ring was unmade the Three Rings of the Elves failed also, and Elrond was weary of Middle-earth at last and departed seeking Celebrian, and returned never again. But Arwen became a mortal woman, and yet even so it was not her lot to die until she had lost all that she gained. For though she lived with Aragorn for five score years after and great was their glory together, yet at last he said farewell and laid him down and died ere old age unmanned him. But she went from the city and from her children, and passed away to the land of Lothlorien, and dwelt there alone under the fading trees: for Galadriel also was gone and Lorien was withering. And then at last, it is said, she laid herself to rest upon Kerin Amroth; and there was her green grave, until all the world was changed, and all the days of her life utterly forgotten by men that came after, and elanor and nifredil bloomed no more east of the Sea. (266, The Peoples of Middle Earth).
sometimes tolkien doesn’t pull punches you know?