Parallel Implementation of a Sensitivity Operator-Based Source Identification Algorithm for Distributed Memory Computers

Alexey Penenko () and Evgeny Rusin
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Alexey Penenko: Institute of Computational Mathematics and Mathematical Geophysics SB RAS, pr. Akademika Lavrentjeva 6, 630090 Novosibirsk, Russia
Evgeny Rusin: Institute of Computational Mathematics and Mathematical Geophysics SB RAS, pr. Akademika Lavrentjeva 6, 630090 Novosibirsk, Russia

Mathematics, 2022, vol. 10, issue 23, 1-17

Abstract: Large-scale inverse problems that require high-performance computing arise in various fields, including regional air quality studies. The paper focuses on parallel solutions of an emission source identification problem for a 2D advection–diffusion–reaction model where the sources are identified by heterogeneous measurement data. In the inverse modeling approach we use, a source identification problem is transformed to a quasi-linear operator equation with a sensitivity operator, which allows working in a unified way with heterogeneous measurement data and provides natural parallelization of numeric algorithms by concurrent calculation of the rows of a sensitivity operator matrix. The parallel version of the algorithm implemented with a message passing interface (MPI) has shown a 40× speedup on four Intel Xeon Gold 6248R nodes in an inverse modeling scenario for the Lake Baikal region.

Keywords: air quality; large-scale inverse problem; source identification; sensitivity operator; adjoint equation; Lake Baikal region; parallel computing; high-performance computing; OpenMP; MPI (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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