Abstract
An automatic finite element analysis procedure is developed with the employment of a self-adaptive refinement technique. The process of mesh generation, being usually a highly interactive process, is transformed into a batch—oriented process. A characteristic of the algorithm is that the generated tetrahedra have a very high aspect ratio (nearly equilateral), while the presence of sliver elements is completely avoided. The generation of high quality tetrahedra makes possible the approximation of curved surfaces directly in the refinement process. The inconsistence of forms in the numerical presentation of the magnetic inductionB is used as an error estimator, so that high error regions are recognized and refined. The proposed procedure presents reduced computational requirements, making it very well suited for the solution of 3-D problems. Application to the shielding by a magnetic permeable spherical shell shows the ability to tackle problems with complicated geometry and solve them with high accuracy.
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