Journal
MATHEMATICAL GEOSCIENCES
Volume 49, Issue 6, Pages 751-776Publisher
SPRINGER HEIDELBERG
DOI: 10.1007/s11004-017-9677-y
Keywords
Integral equations; Forward modeling; Electromagnetic sounding; Galerkin method; Green's tensor; High-performance computing
Funding
- Russian Foundation for Basic Research [13-05-12018-OFI_M]
- Swiss National Science Foundation [IZK0Z2_163494]
- Swiss National Supercomputing Center (CSCS) [s660]
- Swiss National Science Foundation (SNF) [IZK0Z2_163494] Funding Source: Swiss National Science Foundation (SNF)
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A new parallel solver for the volumetric integral equations (IE) of electrodynamics is presented. The solver is based on the Galerkin method, which ensures convergent numerical solution. The main features include: (i) memory usage eight times lower compared with analogous IE-based algorithms, without additional restrictions on the background media; (ii) accurate and stable method to compute matrix coefficients corresponding to the IE; and (iii) high degree of parallelism. The solver's computational efficiency is demonstrated on a problem of magnetotelluric sounding of media with large conductivity contrast, revealing good agreement with results obtained using the second-order finite-element method. Due to the effective approach to parallelization and distributed data storage, the program exhibits perfect scalability on different hardware platforms.
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