knock (one's) head against a/the wall

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knock (one's) head against a/the wall

To attempt continuously and fruitlessly to accomplish some task or achieve some goal that is or seems ultimately hopeless. I feel like I've been knocking my head against the wall trying to understand this math equation. Some people are never going to agree with you on this, so it's no use knocking your head against a wall trying to convince everyone.
See also: head, knock, wall
References in classic literature ?
But I don't see how an innocent man is to make up his mind to this kind of thing without knocking his head against the walls unless he takes it in that point of view.
He mentioned that one time,a Nahshon member attacked him in the waiting room, and started violently knocking his head against the wall, for no reason whatsoever.
It is thought Mr Jinnai was pushed during the brawl and died after knocking his head against the wall or the floor.