Parallel PWTD-Accelerated Explicit Solution of the Time-Domain Electric Field Volume Integral Equation

Liu, Yang; Al-Jarro, Ahmed; Bağcı, Hakan; Michielssen, E.

doi:10.1109/tap.2016.2546964

Cited by 10 publications

(25 citation statements)

References 31 publications

(51 reference statements)

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“…Simulations are performed on two computing platforms: (i) A Sandy Bridge compute-node with four eight-core 2.40 GHz Intel Xeon E5-4640 processors and 1 TB memory, and (ii) a Sandy Bridge cluster in which each node has two eight-core 2.60 GHz Intel Xeon E5-2670 processors and 64 GB memory. The proposed solver uses the scalable PWTD parallelization scheme reported in [4,24]. One MPI process is launched per compute-node and OpenMP processes exploit all cores on each node.…”

Section: Numerical Resultsmentioning

confidence: 99%

A Wavelet-Enhanced PWTD-Accelerated Time-Domain Integral Equation Solver for Analysis of Transient Scattering From Electrically Large Conducting Objects

Liu¹,

Yücel²,

Bağcı³

et al. 2018

IEEE Trans. Antennas Propagat.

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A wavelet-enhanced plane-wave time-domain (PWTD) algorithm for efficiently and accurately solving time-domain surface integral equations (TD-SIEs) on electrically large conducting objects is presented. The proposed scheme reduces the memory requirement and computational cost of the PWTD algorithm by representing the PWTD ray data using local cosine wavelet bases (LCBs) and performing PWTD operations in the wavelet domain. The memory requirement and computational cost of the LCB-enhanced PWTD-accelerated TD-SIE solver, when applied to the analysis of transient scattering from smooth quasi-planar objects with near-normal incident pulses, scale nearly as (log) s s O N N and 1.5 () s O N , respectively. Here, s N denotes the number of spatial unknowns. The efficiency and accuracy of the proposed scheme are demonstrated through its applications to the analysis of transient scattering from a 185 wavelength-long NASA almond and a 123-wavelength long Airbus-A320 model. Index Terms-Fast algorithms, marching-on-in-time (MOT), wavelet, local cosine basis (LCB), plane-wave time-domain algorithm (PWTD), time-domain surface integral equation (TD-SIE), transient scattering, very large-scale problems, complexity analysis.

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Section: Numerical Resultsmentioning

confidence: 99%

A Wavelet-Enhanced PWTD-Accelerated Time-Domain Integral Equation Solver for Analysis of Transient Scattering From Electrically Large Conducting Objects

Liu¹,

Yücel²,

Bağcı³

et al. 2018

IEEE Trans. Antennas Propagat.

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“…With (14) and 15, the closed-form expressions in [2] are obtained. In order to remedy this problem, a simple formula is suggested considering the PO integral h n (t) for a triangle patch is in triangle form in time as in (14) and its temporal integral yields the area of the patch, then h n (t) can be represented by…”

Section: Evaluation Of H N (T)mentioning

confidence: 99%

On the closed-form evaluation of the PO integral using the Radon transform interpretation for linear triangles

Aktepe¹,

Ülkü²

2021

Turk J Elec Eng & Comp Sci

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“…Therefore, C is assumed same for all schemes. Note that this computation could be accelerated using the time-domain adaptive integral method [40], [50]- [54] or (multilevel) plane wave timedomain algorithm [24], [25], [28], [39], [55], [56].…”

Section: G Computational Complexitymentioning

confidence: 99%

“…In the last example, scattering from a piecewise dielectric slab is analyzed. The slab consists of two equal volumes with permittivities 3ε 0 and 9ε 0 [as shown in the inset of PT and [MOT] imp GT to achieve the convergence criterion in (28) at every time step. The number of iterations required to solve (19) and (22)…”

Section: Piecewise Slabmentioning

confidence: 99%

“…Depending on the spatial and temporal discretization schemes and the time step size, the MOT scheme can also be explicit. Even though classical explicit MOT schemes do not call for a matrix solution at every time step, they suffer from stability issues [27], [28], which might be remedied using a small time step size at the cost of increased computation time (i.e., they are subject to a CFL constraint).…”

Section: Introductionmentioning

confidence: 99%

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Explicit Time Marching Schemes for Solving the Magnetic Field Volume Integral Equation

Sayed

Ülkü

Bağcı

2020

IEEE Trans. Antennas Propagat.

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A method for constructing explicit marching-on-intime (MOT) schemes to solve the time domain magnetic field volume integral equation (TD-MFVIE) on inhomogeneous dielectric scatterers is proposed. The TD-MFVIE is cast in the form of an ordinary differential equation (ODE) and the unknown magnetic field is expanded using curl conforming spatial basis functions. Inserting this expansion into the TD-MFVIE and spatially testing the resulting equation yield an ODE system with a Gram matrix. This system is integrated in time for the unknown time-dependent expansion coefficients using a linear multistep method. The Gram matrix is sparse and well-conditioned for Galerkin testing and consists of only four diagonal blocks for point testing. The resulting explicit MOT schemes, which call for the solution of this matrix system at every time step, are more efficient than their implicit counterparts, which call for inversion of a fuller matrix system at lower frequencies. Numerical results compare the efficiency, accuracy, and stability of the explicit MOT schemes and their implicit counterparts for low-frequency excitations. The results show that the explicit MOT scheme with point testing is significantly faster than the other three solvers without sacrificing from accuracy.

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Parallel PWTD-Accelerated Explicit Solution of the Time-Domain Electric Field Volume Integral Equation

Cited by 10 publications

References 31 publications

A Wavelet-Enhanced PWTD-Accelerated Time-Domain Integral Equation Solver for Analysis of Transient Scattering From Electrically Large Conducting Objects

A Wavelet-Enhanced PWTD-Accelerated Time-Domain Integral Equation Solver for Analysis of Transient Scattering From Electrically Large Conducting Objects

On the closed-form evaluation of the PO integral using the Radon transform interpretation for linear triangles

Explicit Time Marching Schemes for Solving the Magnetic Field Volume Integral Equation

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