Adaptive finite element analysis using dynamic bubble system

In this paper, a new adaptive method for finite element analysis using dynamic bubble system is proposed. The error estimation is performed according to the Zienkiewicks - Zhu method and using improved solution of the problem instead of the unknown true values which is both straightforward and computationally cheap. Mesh density is easily controlled by changing the radius of the nodes that describe the outline of the analysis region and according to the previously performed error estimation. The desired accuracy of the solution is defined by the user and can be achieved only with one refinement step eabling very fast computation. The effectiveness of the proposed adaptive method is investigated for a test model with known theoretical values. The obtained results show that the proposed method is suitable and very promising for adaptive electromagnetic field using the finite element method