It is the third name-and-shame notice issued by the LBD against a recalcitrant husband in fewer than six months.
Mr Elkouby was based in Golders Green, north-west London, but later moved to Israel and has been living in Paris for the last few months.
In 2014, he was convicted of stalking Ms Meyer in London and a restraining order was imposed for three years.
He said this week that his wife “for years has given me the silent treatment and wants me to give her a get with no questions asked”.
He added: “I am waiting for her to make contact with me and speak to me face-to-face and sort things out in a normal way.”