Elastic energy regularization for inverse obstacle scattering problems
From MaRDI portal
Publication:5236680
DOI10.1088/1361-6420/ab3034zbMath1432.35249arXiv1903.05074OpenAlexW3102439389MaRDI QIDQ5236680
No author found.
Publication date: 10 October 2019
Published in: Inverse Problems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1903.05074
Wave scattering in solid mechanics (74J20) Scattering theory for PDEs (35P25) Inverse problems for PDEs (35R30) Inverse problems for waves in solid mechanics (74J25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) PDEs in connection with mechanics of deformable solids (35Q74)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A discrete geometric approach for simulating the dynamics of thin viscous threads
- Energy of a knot
- Qualitative methods in inverse scattering theory. An introduction
- Completeness properties of Sobolev metrics on the space of curves
- Variational methods in imaging
- Möbius energy of knots and unknots
- An overview of the Riemannian metrics on spaces of curves using the Hamiltonian approach
- The linear sampling method revisited
- Constructing reparameterization invariant metrics on spaces of plane curves
- Fast methods for three-dimensional inverse obstacle scattering problems
- Riemannian geometries on spaces of plane curves
- Harmonic analysis meets critical knots. Critical points of the Möbius energy are smooth
- Why Use Sobolev Metrics on the Space of Curves
- GEODESIC COMPLETENESS FOR SOBOLEV METRICS ON THE SPACE OF IMMERSED PLANE CURVES
- Optimization Methods on Riemannian Manifolds and Their Application to Shape Space
- Discrete Möbius energy
- Variational time discretization of geodesic calculus
- Generalized Bregman distances and convergence rates for non-convex regularization methods
- BOUNDEDNESS AND REGULARIZING EFFECTS OF O'HARA'S KNOT ENERGIES
- A Novel Method for Solving the Inverse Scattering Problem for Time-Harmonic Acoustic Waves in the Resonance Region II
- Newton-Kantorovich method applied to two-dimensional inverse scattering for an exterior Helmholtz problem
- Characterization of the shape of a scattering obstacle using the spectral data of the far field operator
- Methodus inveniendi lineas curvas maximi minimive proprietate gaudentes, sive solutio problematis isoperimetrici lattissimo sensu accepti
- Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
- A simple method for solving inverse scattering problems in the resonance region
- A fast new method to solve inverse scattering problems
- Indicator Functions for Shape Reconstruction Related to the Linear Sampling Method
- Verification of a variational source condition for acoustic inverse medium scattering problems
- Elementary Differential Topology. (AM-54)