An Efficient Mode-Based Domain Decomposition Hybrid 2-D/Q-2D Finite-Element Time-Domain Method for Power/Ground Plate-Pair Analysis

Li, Ping; Jiang, Li Jun; Zhang, Yao Jiang; Xu, Shugen; Bağcı, Hakan

doi:10.1109/tmtt.2018.2851216

Cited by 12 publications

(5 citation statements)

References 19 publications

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“…The spatial DGTD operations, like FVM, are localized, and the global mass matrix can be transformed and divided into a block diagonal mass matrix. The mass matrix block's inversion and storage [77] are performed before initiating time marching. This makes the solver of DGTD very compact, especially when using explicit integration methods.…”

Section: Discontinuous Galerkin Time-domain Methods With Sibcmentioning

confidence: 99%

Advanced Numerical Methods for Graphene Simulation With Equivalent Boundary Conditions: A Review

Gong¹,

Liu²

2023

Preprint

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Section: Discontinuous Galerkin Time-domain Methods With Sibcmentioning

confidence: 99%

Advanced Numerical Methods for Graphene Simulation With Equivalent Boundary Conditions: A Review

Gong¹,

Liu²

2023

Preprint

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“…The spatial DGTD operations, like FVM, are localized, and the global mass matrix is transformed and divided into a block diagonal mass matrix. The inversion and storage of the mass matrix block [78] are performed before initiating time marching. This makes the solver of DGTD very compact, especially when using explicit integration methods.…”

Section: Discontinuous Galerkin Time-domain Methods With Sibcmentioning

confidence: 99%

Advanced Numerical Methods for Graphene Simulation with Equivalent Boundary Conditions: A Review

Gong

Liu

2023

Photonics

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Since the discovery of graphene, due to its excellent optical, thermal, mechanical and electrical properties, it has a broad application prospect in energy, materials, biomedicine, electromagnetism and other fields. A great quantity of researches on the physical mechanism of graphene has been applied to engineering in electromagnetism and optics. To study the properties of graphene, different kinds of numerical methods such as the mixed finite element method (Mixed FEM), the mixed spectral element method (Mixed SEM), Method of Auxiliary Sources (MAS), discontinuous Galerkin time-domain method (DGTD) and interior penalty discontinuous Galerkin time domain (IPDG) have been developed for simulating the electromagnetic field effects of graphene and equivalent boundary conditions such as impedance transmission boundary condition (ITBC), surface current boundary condition (SCBC), impedance matrix boundary condition (IMBC) and surface impedance boundary condition (SIBC) have been employed to replace graphene in the computational domain. In this work, the numerical methods with equivalent boundary conditions are reviewed, and some examples are provided to illustrate their applicability.

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“…This localization translates into a global mass matrix being divided into block-diagonal mass matrices. The inversion and storage of these massmatrix blocks (as would be constructed by the finite element time-domain (FETD) method [89]) are carried out before the time marching starts. This renders the resulting DGTD-based solver very compact (efficient with a very small memory imprint) especially when an explicit integration method is used for time marching.…”

Section: Discontinuous Galerkin Time-domain Methodsmentioning

confidence: 99%

Numerical Methods for Electromagnetic Modeling of Graphene: A Review

Niu

Huang

et al. 2020

IEEE J. Multiscale Multiphys. Comput. Tech.

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Graphene's remarkable electrical, mechanical, thermal, and chemical properties have made this frontier of many other two-dimensional materials a focus of significant research interest in the last decade. Many theoretical studies of the physical mechanisms behind these properties have been followed by those investing the graphene's practical use in various fields of engineering. Electromagnetics, optics, and photonics are among these fields, where potential benefits of graphene in improving device/system performance have been studied. These studies are often carried out using simulation tools. To this end, many numerical methods have been developed to characterize electromagnetic field/wave interactions on graphene sheets and graphene-based devices. In this paper, most popular of these methods are reviewed and their advantages and disadvantages are discussed. Numerical examples are provided to demonstrate their applicability to reallife electromagnetic devices and systems.

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An Efficient Mode-Based Domain Decomposition Hybrid 2-D/Q-2D Finite-Element Time-Domain Method for Power/Ground Plate-Pair Analysis

Cited by 12 publications

References 19 publications

Advanced Numerical Methods for Graphene Simulation With Equivalent Boundary Conditions: A Review

Advanced Numerical Methods for Graphene Simulation With Equivalent Boundary Conditions: A Review

Advanced Numerical Methods for Graphene Simulation with Equivalent Boundary Conditions: A Review

Numerical Methods for Electromagnetic Modeling of Graphene: A Review

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