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Full-Text Articles in Engineering
A Hybridizable Discontinuous Galerkin Time-Domain Method With Robin Transmission Condition For Transient Thermal Analysis Of 3-D Integrated Circuits, Xuan Zhang, Ping Li, Xiao Chun Li, Li (Lijun) Jun Jiang, Jun Fa Mao
A Hybridizable Discontinuous Galerkin Time-Domain Method With Robin Transmission Condition For Transient Thermal Analysis Of 3-D Integrated Circuits, Xuan Zhang, Ping Li, Xiao Chun Li, Li (Lijun) Jun Jiang, Jun Fa Mao
Electrical and Computer Engineering Faculty Research & Creative Works
In this article, a discontinuous Galerkin time-domain (DGTD) method hybridized with Robin transmission condition (RTC-DGTD) is proposed for the transient thermal analysis of 3-D integrated circuits (ICs). As a kind of domain decomposition method (DDM), the DGTD method employs a term named numerical flux for the information exchange of solutions between neighboring subdomains. The numerical flux is a function of both temperature T and heat flux q, and thus for the heat equation, apart from T, the variable q has to be solved as well. To reach this, the traditional DGTD method decomposes the second-order partial-differential thermal equation into two …
An Awe-Enhanced Wideband Subdomain Dg-Rtc Algorithm In Solving Electromagnetic Problems, Shimin Liu, Li (Lijun) Jun Jiang, Ping Li
An Awe-Enhanced Wideband Subdomain Dg-Rtc Algorithm In Solving Electromagnetic Problems, Shimin Liu, Li (Lijun) Jun Jiang, Ping Li
Electrical and Computer Engineering Faculty Research & Creative Works
In this research, a Robin transmission condition enriched frequency-domain discontinuous Galerkin (DG-RTC) method is proposed to solve the electromagnetic problems. The proposed DG-RTC method directly discretizes the vector wave equation in each subdomain, and the numerical flux is used for the information communication of solutions between neighbor subdomains. Compared with the traditional Maxwell's equations-based DG (ME-DG) method, the proposed DG-RTC method merely solves the E-field in the whole computational region, while the H-field is only present at the interfaces of adjacent subdomains, which thus significantly reduces the number of unknowns. Moreover, the finalized globally coupled matrix equation is split into …
Dc Ir-Drop Analysis Of Power Distribution Networks By A Robin Transmission Condition-Enhanced Discontinuous Galerkin Method, An Fa Yang, Min Tang, Jun Fa Mao, Li (Lijun) Jun Jiang, Hakan Bagcii, Ping Li
Dc Ir-Drop Analysis Of Power Distribution Networks By A Robin Transmission Condition-Enhanced Discontinuous Galerkin Method, An Fa Yang, Min Tang, Jun Fa Mao, Li (Lijun) Jun Jiang, Hakan Bagcii, Ping Li
Electrical and Computer Engineering Faculty Research & Creative Works
In this work, a novel Robin transmission condition (RTC)-enhanced discontinuous Galerkin (DG) method is proposed for the dc IR-drop analysis of power distribution networks with Joule heating effects included. Unlike the conventional DG method, the proposed DG method straightforwardly applied to discretize the second-order spatial partial differential governing equations for the electrostatic potential $\Phi $ and the steady-state temperature $T$. The numerical flux in DG used to facilitate the information exchange among neighboring subdomains introduces two additional variables: the current density $J$ for the electrical potential equation and the thermal flux $q$ for the thermal equation. To solve them, at …