A method and an apparatus for the rapid melting of glasses in a skull crucible is provided. The method and apparatus introduce high-frequency energy into the contents of the crucible by means of a coil arrangement surrounding the skull crucible, in order to heat the melt, and the batch is laid and the molten glass discharged in the upper region of the crucible, and undissolved constituents of the batch are retained by means of a cooled bridge which is immersed in the melt. The glass is taken off above the coil arrangement and is fed for further processing without flowing through the coil region.