Adaptive Finite Element Analysis Using Dynamic Bubble System Taking into Account Magnitude of Magnetic Flux Density

Abstract

In this paper, a new adaptive method for finite element analysis using dynamic bubble system taking into account magnitude of magnetic flux density is proposed. The error estimation is performed according to the Zienkiewicz and Zhu error norm estimator and using improved solution of the problem instead of the unknown exact values which is both straightforward and computationally cheap. Mesh density is easily controlled by changing the radii of node bubbles that describe the outline of the analysis region according to the previously performed error estimation. The proposed method produce adaptively generated meshes independent of the initial coarse mesh. The final mesh satisfies the user defined relative error of the solution and takes into account the magnetic flux density distribution. The effectiveness of the proposed adaptive method is investigated for 2-D and 3-D magnetostatic field computations. The obtained results show that the proposed method is suitable and very promising for adaptive electromagnetic field analysis.