Frederick William Elwell RA (29 June 1870 in Beverley, East Riding of Yorkshire – 3 January 1958 in Beverley, East Riding of Yorkshire) was an English painter in oils of portraits, interiors and figurative subjects. He exhibited at the Paris Salon and the Royal Academy, where he became a member in 1938, and painted a portrait of King George V in 1932.

He was the son of wood carver James Edward Elwell. He studied at the Lincoln School of Art, then the Royal Academy in Antwerp and the Académie Julien in Paris.

He first exhibited at the Paris Salon in 1894 and at the Royal Academy in 1895.

He was elected to the Royal Society of Portrait Painters in 1931, and in 1938, he was elected as a member of the Royal Academy. He was also a member of the Royal Institute of Oil Painters.

Much of his work, practised in a vigorous and realistic style, expressed his interest in recording Yorkshire life. The Times, in its review of the Royal Academy exhibition of 1936, favourably described his painting, The Lying-in-State, Westminster Hall (1936), as successfully conveying the emotions felt by those who had been present at the lying-in-state of the late King George V.

Amongst the purchasers of his works were the Chantrey Bequest, the City of Hull and the Walker Art Gallery, Liverpool.