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The hybrid boundary element method for solving a three-dimensional magnetostatic problem is presented in this paper for the first time. The interaction force between the cuboidal permanent magnet and the bar, made of soft magnetic material, is calculated. Results of the presented approach are confirmed using COMSOL Multiphysics as well as with the results of the image theorem that is applicable when the dimensions of the bar are large enough; so it could be considered an infinite soft magnetic plane. [ABSTRACT FROM AUTHOR]

This paper describes a modification of the Hybrid Boundary Element Method (HBEM) for electrostatic problems solving. Such improved method is applied for transmission lines analyses. By taking a quasi-static TEM approach, the Hybrid Boundary Element Method is applied to determine the effective relative permittivity and the characteristic impedance of different stripline structures. Comparisons with already published numerical results and software simulation have been also performed with an aim to test the validity of the proposed approach. A close results match can be noticed. The main novelties of the proposed HBEM modification are better accuracy and ability to determine the polarization charges distribution on the separating surface between a strip and a dielectric layer. This was not possible before, using the previous version of the method. [ABSTRACT FROM AUTHOR]

Different configurations of striplines are analyzed using the hybrid boundary element (HBEM) method, developed at the Faculty of Electronic Engineering of Niš. The quasi TEM analysis is applied. The effective dielectric permittivity as well as the characteristic impedance of several 2D striplines are determined. In order to validate the obtained HBEM values of the characteristic impedance, in terms of accuracy, they have been compared with the corresponding ones obtained by the finite element method. Fast convergence of the results, short computation time, and possibility to solve complex multi-layered configurations of striplines, make hybrid boundary element method very efficient in the calculation of 2D striplines parameters. All results are presented in tables and graphically. [ABSTRACT FROM AUTHOR]

The hybrid boundary element method is applied for the calculation of the characteristic impedance of 2D microstrip lines with a finite width dielectric layer and with finite width or infinite ground planes. Even though these forms of microstrips are very typical in practice, they have not been investigated very often. The basic idea of this method is that an arbitrary shaped electrode can be replaced by equivalent electrodes, and an arbitrary shaped boundary surface between any two dielectric layers can be replaced by discrete equivalent total line charges placed in the air. The discretization technique is similar to the method of moments and is well known. As a contribution to the boundary element method, we combine it with the equivalent electrodes method, creating in that way a new hybrid boundary element method. This method could be applied to a large variety of very complex 2D problems, regarding microstrip lines with or without symmetry. The quasi TEM analysis is applied. We compare values of characteristic impedance obtained applying our method with the corresponding ones obtained by the finite element method and values already reported in the literature. Relative error less than 0.5%, fast convergence of the results and several times shorter computation time comparing to the time required by finite element method make our method very efficient in the calculation of parameters of 2D microstrip lines. [ABSTRACT FROM AUTHOR]