An aerosol generating device has a base with open microchannels, which are at least partially covered by a heatable mesh, which is inductively or indirectly heatable by means for inductively or indirectly heating the mesh, such as such as the base and/or a contacting heater and/or a heat trans fer membrane and/or a susceptor. Further, a method of generating an aerosol from a base with open microchannels, which are at least partially covered by a mesh, is presented, in which the mesh is inductively or indirectly heated.