journal article·2026

A Multiphysics Domain Decomposition Method for Transient Electro-Thermo-Mechanical Analysis

Qi Qiang Liu, Hongyang Li, Shuai Zhang, Absalom E. Ezugwu, Wen-Sheng Zhao

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Abstract

This paper presents a novel multiphysics domain decomposition method (DDM) for fully transient electro-thermo-mechanical analysis of complex electronic devices, based on the dual-primal finite element tearing and interconnecting (FETI-DP) framework. The global problem is reduced to a system involving interface and corner degrees of freedom, together with independent subdomain problems, thereby significantly lowering computational complexity. A nodal integration scheme constructs system matrices directly using Vandermonde and differentiation matrices, supporting non-uniform high-order interpolation without Gaussian quadrature. Physics-dependent subdomain partitioning enables tailored discretization for each physical field, enhancing modeling flexibility and algorithmic generality. The method maintains high accuracy in large-scale simulations, supports automatic corner-node selection, and is inherently parallelizable. Several benchmarks validate its accuracy, efficiency, and scalability in simulating challenging transient electro-thermo-mechanical problems.
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Research context

OpenAlex topics: Electromagnetic Simulation and Numerical Methods · Model Reduction and Neural Networks · Electromagnetic Scattering and Analysis

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Affiliations

School of Electronics and Information, Innovation Center for Electronic Design Automation Technology, Hangzhou Dianzi University, Hangzhou, China

School of Electronics and Information Engineering, Anhui University, Hefei, China

Unit for Data Science and Computing, North-West University, Potchefstroom, South Africa

Funding

Natural Science Foundation of Zhejiang Province · National Key Research and Development Program of China · National Natural Science Foundation of China

References

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