Accurate magnetostatic field computation for complex 3D ferromagnetic objects can be widely used to solve various engineering problems, while mesh quality is a key factor that can greatly affect the calculation precision. For complex shaped 3D objects, their mesh quality can be improved greatly by using hybrid mesh strategy with the advantages of hexahedral elements and tetrahedral elements. In this paper, a hybrid mesh integral equation method (IEM) for 3D magnetostatic field computation is realized based on mixed mesh with hexahedrons and tetrahedrons. Furthermore, computational accuracy of the proposed method is demonstrated by simulation and experimental examples with 2.10% and 3.20%, respectively. Thus, foundations for the mixed mesh strategy for the complex shaped 3D objects and fast computational methods with hybrid mesh IEM are established.
An innovative accelerated integral equation method is proposed based on a fast search algorithm for both shared and non-shared faces among mesh elements. This method successfully accelerates the computational process of solving for the tetrahedral coupling coefficients. By using the proposed accelerated integral equation method, the efficiency of constructing the coupling matrix can be improved by more than 40% without decreasing computational accuracy, as demonstrated by analytical solutions, simulations and experimental examples.
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