Element-free Galerkin method for transient electromagnetic field simulation

Element free Galerkin method (EFGM) is extended to simulate transient electromagnetic field. EFGM, which is based on moving least-square interpolations for the test and trial junctions, is a promising method that needs no element connectivity data but only a set of nodes in computational domain and boundaries and does not suffer much degradation in accuracy when nodal arrangements are very irregular. EFGM is applicable to arbitrary shapes; therefore, it can solve some problems that traditional grid-based methods cannot solve effectively in time-domain electromagnetic field, such as thin plate problems, narrow gap problems, antenna structure optimization, etc. The numerical examples present the validation of EFGM in transient electromagnetic field and its advantages compared with traditional numerical methods. (C) 2007 Wiley Periodicals, Inc.