Method for producing glass elements, wherein: a. batch material is melted in a melting chamber, to obtain molten glass, b. the molten glass is transported from the melting chamber to a forming unit by means of a distribution duct, c. glass elements are shaped in the forming unit from the molten glass coming from the distribution duct, and wherein: d. a first fuel is burnt with a first oxidant in the melting chamber so as to generate, in the melting chamber, heat and a first flow of hot fumes that is evacuated from the melting chamber, e. a second fuel is then burnt with a second oxidant in the distribution duct so as to generate, in the distribution duct, heat and a second flow of fumes, said method being characterised in that: f. at least one part of the first flow of hot fumes evacuated from the melting chamber is introduced in a first heat exchanger for the heating, inside the first exchanger, of a first intermediate oxidiser having an oxygen content of 18%vol to 50%vol, preferably of 20%vol to 40%vol and more preferably of 20%vol to 28%vol, by heat exchange with the at least one part of the first flow of hot fumes, so as to generate a hot intermediate oxidiser flow and a first flow of temperate fumes, g. at least one part of the hot intermediate oxidiser flow is introduced in a second heat exchanger for the heating of a rich oxidiser having an oxygen content of 80%vol to 100%vol that is greater than the oxygen content of the intermediate oxidiser inside the second exchanger by heat exchange with the at least one part of the hot intermediate oxidiser flow, so as to generate a preheated rich oxidiser flow and a temperate intermediate oxidiser flow, h. at least one part of the preheated rich oxidiser is introduced as a first oxidant in the melting chamber, and i. at least one part of the temperate intermediate oxidiser is introduced as a second oxidant in the distribution duct. a. batch material is melted in a melting chamber, to obtain molten glass, b. the molten glass is transported from the melting chamber to a forming unit by means of a distribution duct, c. glass elements are shaped in the forming unit from the molten glass coming from the distribution duct, d. a first fuel is burnt with a first oxidant in the melting chamber so as to generate, in the melting chamber, heat and a first flow of hot fumes that is evacuated from the melting chamber, e. a second fuel is then burnt with a second oxidant in the distribution duct so as to generate, in the distribution duct, heat and a second flow of fumes, f. at least one part of the first flow of hot fumes evacuated from the melting chamber is introduced in a first heat exchanger for the heating, inside the first exchanger, of a first intermediate oxidiser having an oxygen content of 18%vol to 50%vol, preferably of 20%vol to 40%vol and more preferably of 20%vol to 28%vol, by heat exchange with the at least one part of the first flow of hot fumes, so as to generate a hot intermediate oxidiser flow and a first flow of temperate fumes, g. at least one part of the hot intermediate oxidiser flow is introduced in a second heat exchanger for the heating of a rich oxidiser having an oxygen content of 80%vol to 100%vol that is greater than the oxygen content of the intermediate oxidiser inside the second exchanger by heat exchange with the at least one part of the hot intermediate oxidiser flow, so as to generate a preheated rich oxidiser flow and a temperate intermediate oxidiser flow, h. at least one part of the preheated rich oxidiser is introduced as a first oxidant in the melting chamber, and i. at least one part of the temperate intermediate oxidiser is introduced as a second oxidant in the distribution duct.