S-PEEC-DI: Surface Partial Element Equivalent Circuit method with decoupling integrals

IF 4.2 2区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY

Engineering Analysis with Boundary Elements Pub Date : 2025-02-14 DOI:10.1016/j.enganabound.2025.106152

Maria De Lauretis , Elena Haller , Daniele Romano , Giulio Antonini , Jonas Ekman , Ivana Kovačević-Badstübner , Ulrike Grossner

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引用次数: 0

Abstract

In computational electromagnetics, numerical methods are generally optimized for triangular or tetrahedral meshes. However, typical objects of general interest in electronics, such as diode packages or antennas, have a Manhattan-type geometry that can be modeled with orthogonal and rectangular meshes. The advantage of orthogonal meshes is that they allow analytic solutions of the integral equations. In this work, we optimize the decoupling of the integrals used in the Surface formulation of the Partial Element Equivalent Circuit (S-PEEC) method for rectangular meshes. We consider a previously proposed decoupling strategy, and we lighten the underlying math by generalizing it. The new method shows improved accuracy and computational time because the number of decoupling integrals is generally reduced. The new S-PEEC method with decoupling integrals is named S-PEEC-DI. The S-PEEC-DI method is tested on a realistic diode package and compared with the volumetric PEEC (V-PEEC) and two well-known commercial solvers.

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具有解耦积分的曲面偏元等效电路方法

在计算电磁学中，数值方法通常针对三角形或四面体网格进行优化。然而，在电子学中普遍感兴趣的典型对象，如二极管封装或天线，具有曼哈顿型几何形状，可以用正交和矩形网格建模。正交网格的优点是允许对积分方程进行解析解。在这项工作中，我们优化了用于矩形网格的部分单元等效电路（S-PEEC）方法的曲面公式中积分的解耦。我们考虑先前提出的解耦策略，并通过推广它来减轻基础数学。由于解耦积分的数量普遍减少，新方法的精度和计算时间都有所提高。新的解耦积分S-PEEC方法被命名为S-PEEC- di。S-PEEC-DI方法在实际二极管封装上进行了测试，并与体积PEEC （V-PEEC）和两种知名的商用求解器进行了比较。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Engineering Analysis with Boundary Elements 工程技术-工程：综合

CiteScore

5.50

自引率

18.20%

发文量

368

审稿时长

56 days

期刊介绍： This journal is specifically dedicated to the dissemination of the latest developments of new engineering analysis techniques using boundary elements and other mesh reduction methods. Boundary element (BEM) and mesh reduction methods (MRM) are very active areas of research with the techniques being applied to solve increasingly complex problems. The journal stresses the importance of these applications as well as their computational aspects, reliability and robustness. The main criteria for publication will be the originality of the work being reported, its potential usefulness and applications of the methods to new fields. In addition to regular issues, the journal publishes a series of special issues dealing with specific areas of current research. The journal has, for many years, provided a channel of communication between academics and industrial researchers working in mesh reduction methods Fields Covered: • Boundary Element Methods (BEM) • Mesh Reduction Methods (MRM) • Meshless Methods • Integral Equations • Applications of BEM/MRM in Engineering • Numerical Methods related to BEM/MRM • Computational Techniques • Combination of Different Methods • Advanced Formulations.