11 September 2003 Application of multigrid approach to the subsurface imaging problem
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In this paper, the multigrid technique was considered for the solution of two dimensional Helmholtz equation with radiation boundary conditions. To achieve h-independent convergence of the iterative method, the original Helmholtz equation was transformed by using so-called “regularizing” plane wave. The recently developed “black-box” type multigrid method was adopted as a solver. This multigrid approach uses matrix dependent prolongation operator. The convergence of proposed algorithm was investigated on several test problems. Numerical results for realistic ranges of parameters in soil and mine-like targets are presented.
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Yuriy A. Gryazin, "Application of multigrid approach to the subsurface imaging problem", Proc. SPIE 5089, Detection and Remediation Technologies for Mines and Minelike Targets VIII, (11 September 2003); doi: 10.1117/12.488314; https://doi.org/10.1117/12.488314

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