Dr. Yury A. Gryazin Profile

Dr. Yury A. Gryazin

Professor at Idaho State Univ

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Publications (11)

Proceedings Article | 30 May 2022 Paper

Scalable FFT-Krylov subspace method for landmine imaging problem

Yun Teck Lee, Yury Gryazin

Proceedings Volume 12116, 121160Y (2022) https://doi.org/10.1117/12.2618712

KEYWORDS: Algorithm development, Iterative methods, Signal processing, Numerical analysis, Matrices, Land mines, Digital signal processing, Data processing, Computer programming, Scattering

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Proceedings Article | 30 May 2022 Presentation + Paper

Parallel high-resolution compact partial FFT-type direct algorithms for subsurface scattering problems

Ron Gonzales, Yury Gryazin

Proceedings Volume 12116, 1211612 (2022) https://doi.org/10.1117/12.2617140

KEYWORDS: Scattering, Matrices, Algorithm development, Numerical analysis, Chemical elements, Radio propagation, MATLAB, Iterative methods, Wave propagation, Finite difference methods

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Proceedings Article | 10 May 2019 Presentation + Paper

Scalable high-resolution algorithms for landmine imaging problem

Yury Gryazin, Yun Teck Lee, Ronald Gonzales

Proceedings Volume 11012, 110120V (2019) https://doi.org/10.1117/12.2519782

KEYWORDS: Algorithm development, Numerical analysis, Land mines, Detection and tracking algorithms, Inverse problems, Iterative methods, Computer programming

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The goal of this paper is to describe a novel parallel high-resolution 3D numerical method for the solution of high-frequency electromagnetic wave propagation. The sequential numerical method was developed by the first author in 2014. The discussed parallel algorithm will be used later by the authors to computationally simulate data for the solution of the inverse problem of imaging mine-like targets. Thus the solution of the forward problem presented in this paper is a necessary prelude to the future solution of a related inverse problem. In this paper, land mines are modeled as small abnormalities embedded in an otherwise uniform media with an air-ground interface. These abnormalities are characterized by the electrical permittivity and the conductivity, whose values differ from those of the host media. The main challenge in the calculation of the scattered electromagnetic signal in these settings is the requirement of solving the Helmholtz equation for high frequencies. This is excessively time-consuming using standard direct solution techniques. A high-resolution and scalable numerical procedure for the solution of this equation is described in this paper. The kernel of this algorithm is a combination of a second, fourth or sixth order compact finite-difference scheme and a preconditioned Krylov subspace approach. Both fourth and sixth order compact approximations for the Helmholtz equation are considered to reduce approximation and pollution errors, thereby softening the point-per-wavelength constraint. The coefficient matrix of the resulting system is not Hermitian and possesses positive as well as negative eigenvalues. This represents a significant challenge for constructing an efficient iterative solver. In our approach, this system is solved by a combination of Krylov subspace-type method with a direct parallel FFT-type preconditioner. The resulting numerical method allows a natural and efficient implementation on parallel computers. Numerical results for realistic ranges of parameters in soil and mine-like targets confirm the high efficiency of the proposed parallel iterative algorithm.

Proceedings Article | 29 May 2014 Paper

High-order approximation compact schemes for forward subsurface scattering problems

Yury Gryazin

Proceedings Volume 9077, 90770G (2014) https://doi.org/10.1117/12.2050189

KEYWORDS: Computing systems, Scattering, Matrices, Iterative methods, Numerical analysis, Soil science, Fourier transforms, Standards development, Radio propagation, General packet radio service

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Proceedings Article | 31 May 2013 Paper

High-resolution computation of electrical field propagation in land mine detection

Yury Gryazin

Proceedings Volume 8714, 87141B (2013) https://doi.org/10.1117/12.2017982

KEYWORDS: Numerical analysis, Radio propagation, Land mines, Wave propagation, Inverse problems, Iterative methods, Pollution, Electromagnetic radiation, Electromagnetism, Computing systems

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Proceedings Article | 27 April 2007 Paper

Application of a modified FFT approach to the subsurface scattering problem

Yuriy Gryazin, Yu Chen, Wenxiang Zhu

Proceedings Volume 6553, 65532C (2007) https://doi.org/10.1117/12.720111

KEYWORDS: Numerical analysis, Scattering, Condition numbers, Algorithm development, Chemical elements, Matrices, Detection and tracking algorithms, Radio propagation, Wave propagation, Land mines

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Proceedings Article | 11 September 2003 Paper

Application of multigrid approach to the subsurface imaging problem

Yuriy Gryazin

Proceedings Volume 5089, (2003) https://doi.org/10.1117/12.488314

KEYWORDS: Numerical analysis, Land mines, Target detection, Iterative methods, Detection and tracking algorithms, Wave propagation, Radio propagation, Mining, Scattering, General packet radio service

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Proceedings Article | 13 August 2002 Paper

Preconditioning technique in land mine imaging

Yuriy Gryazin, Thomas Lucas

Proceedings Volume 4742, (2002) https://doi.org/10.1117/12.479083

KEYWORDS: Inverse problems, Land mines, Algorithm development, Matrices, General packet radio service, Detection and tracking algorithms, Soil science, Mathematics, Electromagnetism, Computing systems

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Proceedings Article | 22 August 2000 Paper

Comparison of 2D and 1D approaches to forward problem in mine detection

Thomas Weldon, Yuriy Gryazin, Michael Klibanov

Proceedings Volume 4038, (2000) https://doi.org/10.1117/12.396215

KEYWORDS: Land mines, Mining, Soil science, Inverse problems, Radio propagation, Wave propagation, Electronic support measures, Free space, Dielectrics, Detection and tracking algorithms

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Proceedings Article | 22 August 2000 Paper

GPR imaging of land mines by solution of an inverse problem

Yuriy Gryazin, Michael Klibanov

Proceedings Volume 4038, (2000) https://doi.org/10.1117/12.396202

KEYWORDS: Inverse problems, Land mines, General packet radio service, Electronic support measures, Detection and tracking algorithms, Numerical analysis, Antennas, Light wave propagation, Mathematical modeling, Systems modeling

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Proceedings Article | 2 August 1999 Paper

Tomographic images of land mines by the elliptic systems method using GPR: efficient solution of the forward problem

Yuriy Gryazin, Michael Klibanov, Thomas Lucas

Proceedings Volume 3710, (1999) https://doi.org/10.1117/12.357109

KEYWORDS: Land mines, Matrices, General packet radio service, Inverse problems, Mining, Numerical analysis, Tomography, Imaging systems, Radio propagation, Sensors

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Showing 5 of 11 publications

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