An improved fast local level set method for three-dimensional inverse gravimetry

DOI10.3934/ipi.2015.9.479zbMath1369.65134OpenAlexW2330836084MaRDI QIDQ256018

Shingyu Leung, Wangtao Lu, Jianliang Qian

Publication date: 9 March 2016

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

Full work available at URL: https://doi.org/10.3934/ipi.2015.9.479

zbMATH Keywords

inverse problemnumerical continuationlevel set methodgravimetry

Mathematics Subject Classification ID

Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Numerical methods for inverse problems for integral equations (65R32) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21)

Related Items (8)

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 ⋮ Three-dimensional refined modelling of deep structures by using the level set method: application to the Zhaoping detachment fault, Jiaodong peninsula, China ⋮ Analysis of Regularized Kantorovich--Rubinstein Metric and Its Application to Inverse Gravity Problems ⋮ Kantorovich-Rubinstein metric based level-set methods for inverting modulus of gravity-force data ⋮ Simultaneously recovering both domain and varying density in inverse gravimetry by efficient level-set methods ⋮ Unique reconstruction of simple magnetizations from their magnetic potential ⋮ An adjoint state method for an Schrödinger inverse problem

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