A flange (13) for use in direct resistance heating of a glass-carrying vessel (10), such as a finer, is provided. The flange comprises a plurality of electrically-conductive rings which include an innermost ring (140) which is joined to the vessel's exterior wall (12) during use of the flange and an outermost ring (150) which receives electrical current during use of the flange. The innermost ring (140) comprises a high-temperature metal which comprises at least 80% platinum and the outermost ring (150) comprises at least 99.0% nickel. This combination of materials both increases the reliability of the flange and reduces its cost. In certain embodiments, the flange can also include one or more rings (190) composed of a platinum-nickel alloy which has a lower thermal conductivity than platinum or nickel and thus can serve to reduce heat loss through the flange.