A method is provided in which a carbon dioxide containing flue gas is provided by combusting a carbonaceous fuel in a high pressure steam generating unit using combustion air, and in which the carbon dioxide in the flue gas is at least partially captured and compressed in a carbon dioxide capture and compression unit having a carbon dioxide scrubber operated with an absorbing liquid which is regenerated using low pressure steam. The combustion air used in the high pressure steam generating unit is at least partially heated using sensible heat of the flue gas and/or the steam used for regenerating the absorption liquid of the carbon dioxide scrubber is at least partially generated using sensible heat of the flue gas. A corresponding system is also described herein.