Open Access. Powered by Scholars. Published by Universities.®

Engineering Commons

Open Access. Powered by Scholars. Published by Universities.®

Electrical and Computer Engineering

Electrical and Computer Engineering Faculty Research & Creative Works

Series

2022

Discontinuous Galerkin time-domain (DGTD) method

Articles 1 - 2 of 2

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 Sep 2022

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 …


Parallel Higher Order Dgtd And Fetd For Transient Electromagnetic-Circuital-Thermal Co-Simulation, Huan Huan Zhang, Pan Pan Wang, Li (Lijun) Jun Jiang, Wei E.I. Sha, Mei Song Tong, Ying Liu, Wei Jun Wu, Guang Ming Shi Jun 2022

Parallel Higher Order Dgtd And Fetd For Transient Electromagnetic-Circuital-Thermal Co-Simulation, Huan Huan Zhang, Pan Pan Wang, Li (Lijun) Jun Jiang, Wei E.I. Sha, Mei Song Tong, Ying Liu, Wei Jun Wu, Guang Ming Shi

Electrical and Computer Engineering Faculty Research & Creative Works

A hybrid higher order discontinuous Galerkin time-domain (DGTD) method and finite-element time-domain (FETD) method with parallel technique is proposed for electromagnetic (EM)-circuital-thermal co-simulation in this article. For electromagnetic simulation, DGTD method with higher order hierarchical vector basis functions is used to solve Maxwell equation. Circuit simulation is carried out by modified nodal analysis method. For thermal simulation, FETD method with higher order interpolation scalar basis functions is adopted to solve heat conduction equation. To implement electromagnetic-circuital-thermal co-simulation, the electromagnetic and circuital equations are strongly coupled through voltages, currents, and electric fields at the lumped ports first. Then the electromagnetic and …