The objects or structures in electromagnetic (EM) problems usually have a fixed geometric shape or boundary and the geometric discretization is assumed to be unchanged in numerical solutions. However, as flexible electronic materials appear and could be more widely applied to the manufacture of electronic devices and systems, such an assumption may not be valid anymore and EM analysis for such objects needs to consider their moving boundaries or changeable shapes. Obviously, the traditional discretization will be very tedious and time-consuming when the boundaries are changeable. We develop a novel scheme to model such objects and it can remove the need of remeshing geometries in numerical solutions. A numerical example is presented to demonstrate the scheme and its good performance has been verified.