A Hybrid Time-Domain Technique that Combines ADI-FDTD and MoMTD to Solve Complex Electromagnetic Problems

2007 ◽  
pp. 142-149
Author(s):  
Salvador González García ◽  
Amelia Rubio Bretones ◽  
Rafael Godoy Rubio ◽  
Mario Fernández Pantoja ◽  
Rafael Gómez Lopez
Keyword(s):  
Time Domain ◽  
Electromagnetic Problems

scholarly journals A Short Review of FDTD-Based Methods for Uncertainty Quantification in Computational Electromagnetics

2017 ◽  
Vol 2017 ◽  
pp. 1-8
Author(s):  
Theodoros T. Zygiridis
Keyword(s):  
Finite Difference ◽  
Uncertainty Quantification ◽  
Time Domain ◽  
Finite Difference Time Domain ◽  
Computational Electromagnetics ◽  
Short Review ◽  
Electromagnetic Problems ◽  
Difference Time

We provide a review of selected computational methodologies that are based on the deterministic finite-difference time-domain algorithm and are suitable for the investigation of electromagnetic problems involving uncertainties. As it will become apparent, several alternatives capable of performing uncertainty quantification in a variety of cases exist, each one exhibiting different qualities and ranges of applicability, which we intend to point out here. Given the numerous available approaches, the purpose of this paper is to clarify the main strengths and weaknesses of the described methodologies and help the potential readers to safely select the most suitable approach for their problem under consideration.

scholarly journals A Compact Unconditionally Stable Method for Time-Domain Maxwell's Equations

2013 ◽  
Vol 2013 ◽  
pp. 1-7
Author(s):  
Zhuo Su ◽  
Yongqin Yang ◽  
Yunliang Long
Keyword(s):  
Time Domain ◽  
Finite Difference Time Domain ◽  
Symmetric Operator ◽  
Numerical Dispersion ◽  
Stable Method ◽  
Unconditionally Stable ◽  
Electromagnetic Problems ◽  
Performance Analyses ◽  
Computational Expenditure ◽  
Difference Time

Higher order unconditionally stable methods are effective ways for simulating field behaviors of electromagnetic problems since they are free of Courant-Friedrich-Levy conditions. The development of accurate schemes with less computational expenditure is desirable. A compact fourth-order split-step unconditionally-stable finite-difference time-domain method (C4OSS-FDTD) is proposed in this paper. This method is based on a four-step splitting form in time which is constructed by symmetric operator and uniform splitting. The introduction of spatial compact operator can further improve its performance. Analyses of stability and numerical dispersion are carried out. Compared with noncompact counterpart, the proposed method has reduced computational expenditure while keeping the same level of accuracy. Comparisons with other compact unconditionally-stable methods are provided. Numerical dispersion and anisotropy errors are shown to be lower than those of previous compact unconditionally-stable methods.

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