In all-solid-state lithium batteries the electrolyte is a solid-state ionic conductor. The absence of a liquid electrolyte—and hence the lack of need for a liquid container and separator—implies a larger freedom of design as well as certain advantages in terms of safety. The conductivity of the solid electrolyte is typically several orders of magnitude lower than that of a traditional liquid electrolyte lithium-ion battery. To mitigate this drawback an allsolid-state lithium-ion battery is often fabricated by thin-film methods， with thicknesses in the range of a few micrometers. These thin-film batteries typically do not make use of porous electrodes; all electrochemical reactions instead take place on the interface between the electrolyte and solid electrode domains. This example models a thin-film all-solid-state lithium battery in one dimension. Various discharge currents are studied， and the different sources of voltage losses are analyzed. The example is based on a paper by Danilov and others