Due to the temperature-dependent resistivity of power distribution network (PDN) interconnects, a wiser and necessary strategy is to proceed the electrical-thermal cosimulation in order to include the thermal effects caused by Joule heating. As a natural domain decomposition method (DDM), in this article, a discontinuous Galerkin (DG) method is proposed to facilitate the steady-state electrical and thermal coanalysis. With the intention to avoid solving a globally coupled steady-state matrix system equations resulted from the implicit numerical flux in DG, the block Thomas method is deployed to solve the entire domain in a subdomain-by-subdomain scheme. As a direct solver, the block Thomas method is free of convergence problem frequently occurring in iterative methods, such as block Gauss-Seidel method. The capability of the proposed DG method in handling multiscale and complex 3-D PDNs is validated by several representative examples.


Electrical and Computer Engineering


National Natural Science Foundation of China, Grant 61674105

Keywords and Phrases

DC IR-drop; discontinuous Galerkin (DG) method; electrical-thermal cosimulation; integrated circuits (ICs); power distribution network (PDN); steady state

International Standard Serial Number (ISSN)

2156-3985; 2156-3950

Document Type

Article - Journal

Document Version


File Type





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Publication Date

01 Jun 2020