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

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Authors: Qi Qiang Liu, Hongyang Li, Shuai Zhang, Absalom E. Ezugwu, W. L. Zhao
Cited by: 1
References: 47

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.

Fields of Study & Subjects

Electromagnetic Simulation and Numerical Methods Model Reduction and Neural Networks Electromagnetic Scattering and Analysis

Publication details

Journal / source
IEEE Transactions on Components Packaging and Manufacturing Technology
Publisher
Institute of Electrical and Electronics Engineers (IEEE)
Volume
16
Issue
8
Pages
1742–1753
Publication date
13 January 2026