A Generalized Domain-Decomposition Stochastic FDTD Technique for Complex Nanomaterial and Graphene Structures

Kantartzis Nikolaos V.; Zygiridis Theodoros T.; Antonopoulos Christos S.; Kanai Yasushi; Tsiboukis Theodoros D.

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A Generalized Domain-Decomposition Stochastic FDTD Technique for Complex Nanomaterial and Graphene Structures

机译：复杂纳米材料和石墨烯结构的广义域分解随机FDTD技术

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摘要

The systematic and accurate design process of realistic nanocomposite applications and finite-sized graphene setups with arbitrary media uncertainties is presented in this paper by a 3-D covariant/contravariant stochastic finite-difference time-domain method. The new technique uses extra nodes pertinent to a convex combination of all obtainable spatial increments and introduces a robust domain-decomposition formulation combined with Lagrange multipliers to considerably decrease the system overhead. In this way, the mean value and the standard deviation of field components are evaluated in a single run. The performance of the proposed algorithm is validated by various statistically varying nanoscale applications.

机译：本文通过3-D协变/反变随机有限差分时域方法，提出了具有现实意义的纳米复合材料应用和具有任意介质不确定性的有限尺寸石墨烯装置的系统，准确的设计过程。新技术使用了与所有可获得的空间增量的凸组合有关的额外节点，并引入了与Lagrange乘法器结合的鲁棒的域分解公式，以显着减少系统开销。这样，可以在一次运行中评估场分量的平均值和标准偏差。所提出算法的性能通过各种统计上变化的纳米级应用得到了验证。

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来源
《Magnetics, IEEE Transactions on》 |2016年第3期|1-4|共4页
作者
Kantartzis Nikolaos V.; Zygiridis Theodoros T.; Antonopoulos Christos S.; Kanai Yasushi; Tsiboukis Theodoros D.;
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作者单位

Department of Electrical and Computer Engineering, Aristotle University of Thessaloniki, Thessaloniki, Greece;

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正文语种 eng
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Computational electromagnetics; finite difference methods; finite-difference methods; nanomaterials; stochastic processes;

机译：计算电磁学;差分法;差分法;纳米材料;随机过程;

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1. A 3-D Polynomial-Chaos FDTD Technique for Complex Inhomogeneous Media with Arbitrary Stochastically-Varying Index Gradients [J] . Pyrialakos Georgios G., Zygiridis Theodoros T., Kantartzis Nikolaos V. Applied Computational Electromagnetics Society journal . 2018,第2期

机译：具有任意随机变化的索引梯度的复杂非均匀介质的3-D多项式-混沌FDTD技术
2. A design tool for direct and non-stochastic calculations of near-field radiative transfer in complex structures: The NF-RT-FDTD algorithm [J] . Didari Azadeh, Menguc M. Pinar Journal of Quantitative Spectroscopy & Radiative Transfer . 2017,第期

机译：复杂结构近场辐射转移直接和非随机计算的设计工具：NF-RT-FDTD算法
3. Nondestructive Approach for Complex-Shaped Cracks in Concrete Structures by Electromagnetic Waves with FDTD Technique [J] . Ummu S. Sener, Sebahattin Eker Mathematical Problems in Engineering: Theory, Methods and Applications . 2021,第a期

机译：用FDTD技术对混凝土结构复杂裂缝的非破坏性方法
4. A Generalized Domain-Decomposition Stochastic FDTD Technique for Complex Nanomaterial and Graphene Structures [C] . Nikolaos V. Kantartzis, Theodoros T. Zygiridis, Christos S. Antonopoulos, International Conference on the Computation of Electromagnetic Fields . 2016

机译：复合纳米材料和石墨烯结构的广义畴分解随机FDTD技术
5. Sparse Representations and Quadratic Approximations in Path Integral Techniques for Stochastic Response Analysis of Diverse Systems/Structures [D] . Psaros Andriopoulos, Apostolos. 2019

机译：不同系统/结构随机响应分析的路径积分技术的稀疏表示和二次近似
6. Retraction: Pan M. et al. Enhanced Adsorption of Zn(II) onto Graphene Oxides Investigated Using Batch and Modeling Techniques. Nanomaterials 2018 8 806 [O] . Min Pan, Guangxue Wu, Chang Liu, 2020

机译：缩回：PanM.等。使用批处理和建模技术研究了增强的Zn（II）在氧化石墨烯上的吸附。纳米材料20188806
7. A nonorthogonal higher-order wavelet-oriented FDTD technique for 3-D waveguide structures on generalized curvilinear grids [O] . Kantartzis, Nikolaos, Tsiboukis, Theodoros, Kosmanis, Theodoros, 2001

机译：广义曲线网格上3-D波导结构的非正交高阶小波FDTD技术
8. Active Control of Generalized Complex Modal Structures in a Stochastic Environment. [R] . Moose, R. L., Baumann, W. T., VanLandigham, H. F. 1992

机译：随机环境下广义复模态结构的主动控制。

A Generalized Domain-Decomposition Stochastic FDTD Technique for Complex Nanomaterial and Graphene Structures

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