``Fast algorithm for solving some three-dimensional inverse problems of magnetometry

DOI10.20948/MM-2024-01-03MaRDI QIDQ6493829

Alexander S. Leonov, Dmitry V. Lukyanenko, Anatoly G. Yagola

Publication date: 29 April 2024

Published in: Matematicheskoe Modelirovanie (Search for Journal in Brave)

zbMATH Keywords

a-posteriori error estimatefast solution algorithmmagnetic prospectingtheree-dimensional inverse ill-posed problems

Mathematics Subject Classification ID

Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Linear operators and ill-posed problems, regularization (47A52)

Cites Work

• Low-cost numerical method for solving a coefficient inverse problem for the wave equation in three-dimensional space
• Fast numerical method of solving 3D coefficient inverse problem for wave equation with integral data
• Effective algorithms for computing global and local posterior error estimates of solutions to linear ill-posed problems
• Magnetic parameters inversion method with full tensor gradient data
• A posteriori accuracy estimations of solutions to ill-posed inverse problems and extra-optimal regularizing algorithms for their solution
• Extra-optimal methods for solving ill-posed problems

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