Adaptive Finite Element Analysis Using Dynamic Bubble System

|In this paper, a new adaptive method for nite element analysis using dynamic bubble system is proposed. The error estimation is performed according to the Zienkiewicz-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 the node bubbles that describe the outline of the analysis region according to the previously performed error estimation. The desired accuracy of the solution is de ned by the user and can be achieved with only few re nement steps enabling very fast computation. The e ectiveness of the proposed adaptive method is investigated for twodimensional magnetostatic eld computations using a test model with known theoretical values. The obtained results show that the proposed method is suitable and very promising for adaptive electromagnetic eld analysis. Index terms|Finite element methods, error analysis, adaptive techniques, dynamic bubble system, mesh generation, inductors.