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In this article an improved automatic mesh generation method for finite element analysis (FEA) using a dynamic bubble system is presented. The proposed method features two separate routines; one for automatic generation of a set of nodes in accordance with the desired mesh density and the Second Newton’s Law of dynamics, and one for automatic generation of finite elements according to the Delaunay algorithm and using a set of nodes generated from the previous routine. Generation of bubbles is performed frontally—starting from vertices and edges—and ending with surfaces and volumes of the analysis region after which a dynamic movement of generated bubbles is performed. The proposed method enables easy mesh density control using simple exponential functions with a very small amount of input data and very short computation time. It is applicable for automatic mesh generation of complex shapes and structures such as those usually encountered in various electromagnetic devices (rotating machines and transformers). Due to its modest requirement for input data and its ability to generate meshes with graded mesh densities, the proposed method could also be very useful for adaptive mesh refinements in FEA. © 1997 American Institute of Physics.