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A True Domain Decomposition Procedure Based on Method of Moments to Handle Electrically Large Bodies

机译:一种基于矩量方法的电大体真域分解程序

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摘要

A true domain decomposition method to obtain numerical solution involving electrically large bodies using the method of moments (MOM) formulation is the subject matter of the present work. The electrically large body is initially divided into smaller sub-structures. By defining a set of new basis functions adaptively, utilizing the primary basis functions, a solution scheme is developed which completely eliminates the interaction of one substructure with the rest of the body. This procedure enables to solve each substructure independently and involves no iterative solution as a final step. The present method is conceptually simple and applicable to any MOM solution. Further, the method can easily handle multiple right-hand side vectors much the same way as the conventional MOM solution. A few representative numerical examples are presented to illustrate the applicability of the new method.
机译:本工作的主题是一种使用矩量法(MOM)公式获得涉及电大物体的数值解的真实域分解方法。大的电体最初被分为较小的子结构。通过利用主要基础函数自适应地定义一组新的基础函数,开发了一种解决方案,该解决方案完全消除了一个子结构与身体其余部分的相互作用。此过程使独立解决每个子结构成为可能,并且不涉及任何迭代解决方案。本方法在概念上很简单,并且适用于任何MOM解决方案。此外,该方法可以轻松地处理多个右侧向量,方法与常规MOM解决方案相同。给出了一些代表性的数值例子来说明新方法的适用性。

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