A New Refinement Algorithm for Electromagnetic Field Computations Based on the Combination of Finite Element and Meshless Methods

摘要

A new refinement algorithm for electromagnetic field computations using a combination of finite element and meshless methods is proposed. Bridging scales are proposed to separate the finite element and meshless shape functions to make the refinement hierarchical and to enhance the mathematical properties such as consistency and linear independence of all the bases. Numerical results are reported to demonstrate and validate the applicability and advantages of the proposed algorithms over traditional ones.