Del. Code tit. 15, § 7107

The Superior Court of each county in which a special election is held, as constituted under article V, § 6 of the State Constitution, shall, at 10 a.m. on the second day after such special election, convene and perform its duties, prescribed by such section, with reference to such special election, at the same place, with the same powers and in the same manner as for a general election.