Purpose

The purpose of this paper is to present the implementation of a balanced domain decomposition approach for the numerical simulation of large electro-quasistatic (EQS) systems in biology. The numerical scheme is analyzed and first applications are discussed.

Design/methodology/approach

The scheme is based on a finite element discretization of the individual domains obtained by decomposition and a physically consistent inter-domain coupling realized via Robin boundary conditions. The proposed algorithms can efficiently be implemented on a highly parallelized computing grid.

Findings

The feasibility and applicability of the method is proven. Further, a couple of technical details are found that increase the efficiency of the method.

Originality/value

The presented method offers an enhanced geometrical flexibility and extensibility to simulate larger cell systems with higher model resolution compared to other methods presented in the literature. The presented analysis provides an understanding of the balanced coupling scheme for large EQS systems.

中文翻译：

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使用平衡域分解的生物细胞准静态场模拟

目的

本文的目的是为生物学中的大型准静态（EQS）系统的数值模拟提供一种平衡域分解方法的实现。分析了数值方案并讨论了第一个应用。

设计/方法/方法

该方案基于通过分解获得的各个域的有限元离散化和通过Robin边界条件实现的物理上一致的域间耦合。所提出的算法可以在高度并行的计算网格上有效地实现。

发现

证明了该方法的可行性和适用性。此外，发现了一些技术细节，它们提高了该方法的效率。

创意/价值

与文献中提出的其他方法相比，该方法提供了增强的几何灵活性和可扩展性，以更高的模型分辨率模拟更大的细胞系统。提出的分析提供了对大型EQS系统的平衡耦合方案的理解。