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Official PDF TranslationJournal of Central South University

3D finite-difference numerical simulation of the gravitational field using a preconditioned GMRES iterative solver

Authors: TONG Xiao-zhong; XIE Wei; MA Hui-ying; WEN Xin-yue; ZHU Wen-di; ZHANG Chen

DOI: 10.1007/s11771-026-6214-5Status: Verified Translated Edition
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Key Findings in This Report

• Introduces an efficient iterative solver (GMRES with incomplete LU preconditioning) for 3D finite-difference gravitational field modeling, overcoming memory and time limitations of direct solvers. • Employs central finite-difference discretization on right rectangular prismatic grids and high-degree Lagrange interpolation for accurate partial derivatives of gravitational potential. • Validates the algorithm using three density models, demonstrating high accuracy, reliability, and flexibility for 3D forward modeling. • Provides a practical solution for large-scale 3D gravity data inversion and geological interpretation.