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Parallelisation of Implicit Time Domain Methods: Progress with ADI-FDTD
2009
PIERS Online
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First we describe a domain decomposition scheme for parallel ADI-FDTD in three dimensions that is suitable for implementation on widely available high performance computer architectures such as symmetric ...
We provide an overview of our work to date on the parallelization of implicit time domain methods, in particular the alternating direction implicit finite-difference time-domain method (ADI-FDTD). ...
Our investigations of the ADI-FDTD method resulted in improvements to the standard implementations of the Mur 1st order ABC [7] and CPML boundary condition [8] . ...
doi:10.2529/piers080905063810
fatcat:qudbhtyewfew7e3tyhkmgufbsy
The Simplest V-Cycle Fast Adaptive Composite Grid ADI-FDTD Method for Two-Dimensional Electromagnetic Simulations
2008
IEEE Antennas and Wireless Propagation Letters
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A comparison of the computational efficiency between the FAC-ADI and ADI-FDTD is presented. ...
ADI-FDTD is derived from the Crank-Nicolson (CN) ADI scheme, and its efficiency is investigated. ...
The splitting error between the ADI-FDTD and CN FDTD methods does not occur on the boundary of global and local domain and the effectiveness of the iterative scheme is realized only in the interior domain ...
doi:10.1109/lawp.2008.2002316
fatcat:dpen7jsxxbazhf3tze4dhwaeqi
Split-field PML implementations for the unconditionally stable LOD-FDTD method
2006
IEEE Microwave and Wireless Components Letters
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The LOD-FDTD formalism is expanded in terms of a symmetric source implementation. ...
We introduce and compare two split-field implementations of the perfectly matched layer (PML) for the unconditionally stable locally one-dimensional (LOD) finite-difference timedomain (FDTD) method. ...
Second Scheme In this case, the forward approximation is applied to the conduction terms on the left hand side of (1)-(4), akin to the ADI-FDTD implementation in [13] . ...
doi:10.1109/lmwc.2006.877132
fatcat:5n2yypt5qjaarlpcdwwlaj64uy
An efficient PML implementation for the ADI-FDTD method
2003
IEEE Microwave and Wireless Components Letters
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Index Terms-Alternating-direction implicit (ADI) method, finite-difference time-domain (FDTD) method, perfectly matched layer (PML). ...
A novel implementation of the perfectly matched layer (PML) absorber for the alternating-direction implicit finite-difference time-domain method is proposed and implemented. ...
CONCLUSION In this letter, we have introduced an improved implementation of the PML absorbing boundary condition for the ADI-FDTD method. ...
doi:10.1109/lmwc.2003.808705
fatcat:yd2zy3lr4rdutdidjgcntcwvzu
Reduced splitting error in the ADI-FDTD method using iterative method
2008
Microwave and optical technology letters (Print)
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In this study, a new method is introduced to reduce the splitting error in the ADI-FDTD method using iterative method. The proposed method includes two procedures. ...
First we solve the procedure of ADI-FDTD method and secondly a new iterative scheme is adopted. The improvement of reduced splitting error is investigated by numerical examples. ...
It is not necessary to improve the accuracy on the boundary domain whatever we use PML or Mur boundary conditions. The boundary condition is applied to solve only the ADI-FDTD method of Eq. (2) . ...
doi:10.1002/mop.23618
fatcat:sbv6pbwnzrcaldmnlh52dncv5u
BANDPASS UNCONDITIONALLY STABLE CE-BOR-PML SCHEME WITH CNDG ALGORITHM FOR ROTATIONAL SYMMETRIC SIMULATION
2021
Progress In Electromagnetics Research M
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To be more specific, this implementation is based upon the CN Douglas-Gunn (DG) procedure and the complex envelope (CE) method in body of revolution (BOR) finite-difference time-domain (FDTD) lattice. ...
Meanwhile, it can also verify that the proposed scheme is stable without the limitation of Courant-Friedrich-Levy (CFL) condition. ...
As can be concluded, the original ADI, LOD, SS schemes are implemented by the split step procedure. Such condition results in the degeneration of accuracy and efficiency. ...
doi:10.2528/pierm21051401
fatcat:6ug4jonyprhphetysufkxrt56m
Efficient Enhanced Hybrid Implicit-Explicit Procedure to Gyrotropic plasma in Open Regions with Fine Geometry Details along Single Direction
2021
IEEE Access
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In open region problems, it has been demonstrated that the absorbing boundary condition must be employed for the termination of unbounded domains [4] [5] . ...
Thus, the two components should be updated at the same time to maintain the stability of the algorithm. ...
He is currently Editorial Board member of three international Journals. ...
doi:10.1109/access.2021.3081986
fatcat:7ebkgfmz5vbd3ezaeoottixfua
ONE-STEP ABSOLUTELY STABLE FDTD METHODS FOR ELECTROMAGNETIC SIMULATION
2021
Progress In Electromagnetics Research Letters
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In the present paper, two novel one-step absolutely stable FDTD methods including one-step alternating-direction-implicit (ADI) and one-step locally-one-dimensional (LOD) methods are proposed. ...
, various implicit methods have been proposed to tackle the problem, while many of them adopt time-splitting schemes that generally need at least two sub-steps to finish update at a full time step, and ...
As the complexity of the splitting-step methods increases, the implementations of the two algorithms in the main computation domain, the treatment of boundary conditions, and the implementation of source ...
doi:10.2528/pierl21080503
fatcat:k5d3j5rcwbcozkdjjxvzqg6vcy
Alternating Direction Implicit Methods for FDTD Using the Dey-Mittra Embedded Boundary Method
2014
The Open Plasma Physics Journal
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To date, the ADI method applied to the FDTD method for curved domains has been used within the context of subgridding (i.e., local refinement) or for stairstepped boundaries that are only first-order accurate ...
The alternating direction implicit (ADI) method is an attractive option to use in avoiding the Courant-Friedrichs-Lewy (CFL) condition that limits the size of the time step required by explicit finite-difference ...
One approach to modeling curved domains is to use a subgridding scheme on the boundary [5] . For such a subgridding scheme, a hybrid ADI-FDTD method was proposed in Ref. ...
doi:10.2174/1876534301003010029
fatcat:ccj45zlsnrbcrgts7mag7gximq
A Study on Unconditionally Stable FDTD Methods for the Modeling of Metamaterials
2009
Journal of Lightwave Technology
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We assess the performance of three unconditionally stable finite-difference time-domain (FDTD) methods for the modeling of doubly dispersive metamaterials: 1) locally one-dimensional FDTD; 2) locally one-dimensional ...
FDTD with Strang splitting; and (3) alternating direction implicit FDTD. ...
updated once (on increment) for two substpes in LOD-FDTD, but twice (on increment) for two substeps in ADI-FDTD. ...
doi:10.1109/jlt.2009.2023089
fatcat:gzxhlgc33vgbrib3xjan5j4fly
Formulation of Locally Reacting Surfaces in FDTD/K-DWM Modelling of Acoustic Spaces
2008
Acta Acustica united with Acustica
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In this paper, we present new methods for constructing and analysing formulations of locally reacting surfaces that can be used in finite difference time domain (FDTD) simulations of acoustic spaces. ...
The proposed boundary formulations are designed for virtual acoustics applications using the standard leapfrog scheme based on the rectilinear grid, and apply to FDTD as well as Kirchhoff variable digital ...
An outer corner has two boundary conditions (in xand y-direction), the discretised versions of which are used for the elimination of the two ghost points in the discretised 2D wave equation. ...
doi:10.3813/aaa.918107
fatcat:rafkmtlhdjeipditjeocbjebe4
A HYBRID IMPLICIT-EXPLICIT SPECTRAL FDTD SCHEME FOR OBLIQUE INCIDENCE PROBLEMS ON PERIODIC STRUCTURES
2012
Electromagnetic Waves
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Compared with the ADI-SFDTD method it only needs to solve two untridiagonal matrices when the PBC is applied to, other four equations can be updated directly, while four untridiagonal matrices, two tridiagonal ...
condition (PBC) can be implemented easily for both normal and oblique incident waves. ...
it needs to solve six matrices and six explicit updates in ADI-SFDTD scheme. ...
doi:10.2528/pier12032306
fatcat:ezj5qciu5ncazn2fvl5lzpsiwu
Time-domain hybrid methods to solve complex electromagnetic problems
2003
2003 IEEE International Symposium on Electromagnetic Compatibility, 2003. EMC '03.
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, or that of the ADI-FDTD formulation of not imposing conditions on the duration of the temporal interval. ...
This communication describes the FDTD-FETD-MoMTD and the ADI-FDTD/MoMTD time-domain hybrid techniques. ...
The ADI-FDTD scheme [7, 8] eliminates the restrictions imposed by the Courant stability condition. ...
doi:10.1109/icsmc2.2003.1429045
fatcat:et6a74aevzhspe5soxwfvfdchi
STABILITY AND DISPERSION ANALYSIS FOR THREE-DIMENSIONAL (3-D) LEAPFROG ADI-FDTD METHOD
2012
Progress In Electromagnetics Research M
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The leapfrog ADI-FDTD method is reformulated in the form similar to conventional explicit FDTD method by introducing two auxiliary variables. ...
of the leapfrog ADI-FDTD method. ...
These examples demonstrated the stability of the leapfrog ADI-FDTD method only in numerical way with some boundary conditions. ...
doi:10.2528/pierm11111803
fatcat:7b54d4z3indrpcrqlprpkftwk4
Alternating-Direction Implicit Formulation of the Finite-Element Time-Domain Method
2007
IEEE transactions on microwave theory and techniques
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In this paper, two implicit finite-element time-domain (FETD) solutions of the Maxwell equations are presented. ...
A numerical formulation for the 3-D ADI-FETD method is presented. For stability analysis of the proposed method, the amplification matrix is derived. ...
ACKNOWLEDGMENT The authors would like to thank the three reviewers of this paper for their constructive comments and helpful suggestions. ...
doi:10.1109/tmtt.2007.897777
fatcat:omobrrcynbatdlv2tb2thlgwlq
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