A method for controlling and/or adjusting a welding process, uses a melting electrode, wherein after ignition of an electric arc, a welding process, which is adjusted on the basis of several different welding parameters, is carried out using a welding current source, the process being controlled or adjusted by a control device. Also a corresponding welding device is used to carry out the process. In order to create the method, wherein the thermal heat economy is adjusted and/or regulated and/or controlled in order to introduce heat into the workpiece, at least two different process phases are cyclically combined, the process phases having different inputs of energy via different material transitions and/or arc types, such as a pulse current phase and a cold metal transfer phase in order to influence or control thermal heat economy, particularly the introduction of heat into the workpiece to be processed.