Lindhard Island was visited and explored on March 26, 1913, by the 1912–13 Danish Expedition to Queen Louise Land and Across the North Greenland Ice Sheet led by J.P. Koch. The narrow Kavaler Fjord in the northern part of the island almost divides Lindhard Island in two. Kavaler Fjord was discovered and named by J.P. Koch's 1912–13 Danish Expedition. Kavaler Fjord was named after the most stubborn of the expedition's horses, Kavaler, on their visit to the island on March 26, 1913. Vigfús states that at that time the island had not been visited and was therefore inaccurately placed on the map. Earlier during the expedition, they had named Bag Fjord, which is Danish for Back Fjord, so named because it appeared from back of the island. Bag Fjord is formed between the Bredebræ glacier and the north-west corner of Lindhard Island, .
