scholarly journals Advanced three-dimensional electromagnetic modeling using a nested integral equation approach

2020 ◽  
Author(s):  
Chaojian Chen ◽  
Mikhail Kruglyakov ◽  
Alexey Kuvshinov
Keyword(s):  
Integral Equation ◽  
Three Dimensional ◽  
Equation Approach ◽  
Electromagnetic Modeling ◽  
Integral Equation Approach

Three-dimensional integral-equation approach to proton- and antiproton-hydrogen collisions

2009 ◽  
Vol 80 (2) ◽  
Author(s):  
A. S. Kadyrov ◽  
I. B. Abdurakhmanov ◽  
I. Bray ◽  
A. T. Stelbovics
Keyword(s):  
Integral Equation ◽  
Three Dimensional ◽  
Equation Approach ◽  
Integral Equation Approach ◽  
Dimensional Integral

Advanced three-dimensional electromagnetic modeling using a nested integral equation approach

2021 ◽  
Author(s):  
Chaojian Chen ◽  
Mikhail Kruglyakov ◽  
Alexey Kuvshinov
Keyword(s):  
Integral Equation ◽  
Three Dimensional ◽  
Region Of Interest ◽  
Electromagnetic Modeling ◽  
Multi Scale ◽  
Scale Modeling ◽  
Uniform Grids ◽  
The Matrix ◽  
Integral Equation Approach ◽  
Matrix Vector

Summary Most of the existing three-dimensional (3-D) electromagnetic (EM) modeling solvers based on the integral equation (IE) method exploit fast Fourier transform (FFT) to accelerate the matrix-vector multiplications. This in turn requires a laterally-uniform discretization of the modeling domain. However, there is often a need for multi-scale modeling and inversion, for instance, to properly account for the effects of non-uniform distant structures, and at the same time, to accurately model the effects from local anomalies. In such scenarios, the usage of laterally-uniform grids leads to excessive computational loads, both in terms of memory and time. To alleviate this problem, we developed an efficient 3-D EM modeling tool based on a multi-nested IE approach. Within this approach, the IE modeling is first performed at a large domain and on a (laterally-uniform) coarse grid, and then the results are refined in the region of interest by performing modeling at a smaller domain and on a (laterally-uniform) denser grid. At the latter stage, the modeling results obtained at the previous stage are exploited. The lateral uniformity of the grids at each stage allows us to keep using the FFT for the matrix-vector multiplications. An important novelty of the paper is a development of a “rim domain” concept which further improves the performance of the multi-nested IE approach. We verify the developed tool on both idealized and realistic 3-D conductivity models, and demonstrate its efficiency and accuracy.

scholarly journals A three dimensional integral equation approach for fluids under confinement: Argon in zeolites

2015 ◽  
Vol 143 (16) ◽  
pp. 164703 ◽  
Author(s):  
Enrique Lomba ◽  
Cecilia Bores ◽  
Vicente Sánchez-Gil ◽  
Eva G. Noya
Keyword(s):  
Integral Equation ◽  
Three Dimensional ◽  
Equation Approach ◽  
Integral Equation Approach ◽  
Dimensional Integral
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