Kantorovich-Rubinstein metric based level-set methods for inverting modulus of gravity-force data
DOI10.3934/ipi.2022053OpenAlexW4312786571MaRDI QIDQ2697345
Publication date: 18 April 2023
Published in: Inverse Problems and Imaging (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/ipi.2022053
Inverse problems in geophysics (86A22) Inverse problems for PDEs (35R30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) PDEs with randomness, stochastic partial differential equations (35R60) Finite difference methods for boundary value problems involving PDEs (65N06) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Fundamental solutions, Green's function methods, etc. for boundary value problems involving PDEs (65N80)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- An improved fast local level set method for three-dimensional inverse gravimetry
- Optimal transport for seismic full waveform inversion
- Application of the Wasserstein metric to seismic signals
- Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
- A dual algorithm for the solution of nonlinear variational problems via finite element approximation
- Imaging of location and geometry for extended targets using the response matrix
- A variational level set approach to multiphase motion
- A three-dimensional inverse gravimetry problem for ice with snow caps
- A computational fluid mechanics solution to the Monge-Kantorovich mass transfer problem
- Simultaneously recovering both domain and varying density in inverse gravimetry by efficient level-set methods
- Optimal transport for applied mathematicians. Calculus of variations, PDEs, and modeling
- A level-set approach for inverse problems involving obstacles Fadil SANTOSA
- Polar factorization and monotone rearrangement of vector‐valued functions
- A Fast Local Level Set Method for Inverse Gravimetry
- Analysis of Regularized Kantorovich--Rubinstein Metric and Its Application to Inverse Gravity Problems
- Imaging with Kantorovich--Rubinstein Discrepancy
- Level set methods for inverse scattering
- A survey on level set methods for inverse problems and optimal design
- Mixed \(L^2\)-Wasserstein optimal mapping between prescribed density functions