Simultaneously recovering both domain and varying density in inverse gravimetry by efficient level-set methods

DOI10.3934/ipi.2020073zbMath1482.65173OpenAlexW3107109251MaRDI QIDQ2037218

Wenbin Li, Jianliang Qian

Publication date: 30 June 2021

Published in: Inverse Problems and Imaging (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/ipi.2020073

zbMATH Keywords

inverse problemslevel set methods

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20) Numerical optimization and variational techniques (65K10) Inverse problems in geophysics (86A22) Eigenvalues, singular values, and eigenvectors (15A18) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Computational methods for problems pertaining to geophysics (86-08) Finite difference methods for boundary value problems involving PDEs (65N06) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) PDEs in connection with geophysics (35Q86) Fundamental solutions, Green's function methods, etc. for boundary value problems involving PDEs (65N80) PDE constrained optimization (numerical aspects) (49M41)

Related Items (3)

A stochastic gradient descent approach with partitioned-truncated singular value decomposition for large-scale inverse problems of magnetic modulus data ⋮ A reconstruction method for the inverse gravimetric problem ⋮ Kantorovich-Rubinstein metric based level-set methods for inverting modulus of gravity-force data

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