A method produces thermal barrier coatings that adhere to components even at high temperatures and temperatures that change frequently. A gas-tight glass-metal composite coating is applied to the component and annealed. The corroded part of the gas-tight coating is then removed, and a second, porous coating is applied. The second coating can comprise a ceramic, in particular yttrium-stabilized zirconium oxide. A thermal barrier coating is provided that is a composite made of a gas-tight glass-metal composite coating and another porous coating disposed thereover. Because the boundary volume of the composite coating is partly crystallized to the other coating, superior adhesion within the composite is achieved. Thus, it is in particular possible to produce a composite made of silicate glass-metal composite coatings and yttrium-stabilized zirconium oxide that are temperature-stable for extended periods of time. Such a composite is particularly advantageous for use as a thermal barrier coating because it combines good protection against oxidation with low heat conductivity and susceptibility to aging.