Level Set--Based Shape Optimization Approach for Sharp-Interface Reconstructions in Time-Domain Full Waveform Inversion
DOI10.1137/20M1378090zbMath1468.35223OpenAlexW3163180474MaRDI QIDQ4990945
Antoine Laurain, Irwin Yousept, Yuri Flores Albuquerque
Publication date: 2 June 2021
Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/20m1378090
level set methodshape optimizationacoustic wave equationfull waveform inversionsharp interfacesdistributed shape derivative
Seismology (including tsunami modeling), earthquakes (86A15) Inverse problems for PDEs (35R30) PDEs with low regular coefficients and/or low regular data (35R05) Hydro- and aero-acoustics (76Q05) Optimization of shapes other than minimal surfaces (49Q10) PDEs in connection with control and optimization (35Q93)
Related Items
Cites Work
- An optimal triangulation for second-order elliptic problems
- Well-posedness theory for electromagnetic obstacle problems
- Optimal design of the damping set for the stabilization of the wave equation
- Semigroups of linear operators and applications to partial differential equations
- Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
- Shape derivative in the wave equation with Dirichlet boundary conditions
- Finite element analysis of an optimal control problem in the coefficients of time-harmonic eddy current equations
- Optimal control of the principal coefficient in a scalar wave equation
- Distributed and boundary expressions of first and second order shape derivatives in nonsmooth domains
- Comparison of approximate shape gradients
- Optimal location of controllers for the one-dimensional wave equation
- Distributed shape derivativeviaaveraged adjoint method and applications
- Inverse problems for abstract evolution equations with applications in electrodynamics and elasticity
- On the linearization of operators related to the full waveform inversion in seismology
- Identifying Lamé parameters from time-dependent elastic wave measurements
- Uniqueness and Lipschitz stability of an inverse boundary value problem for time-harmonic elastic waves
- Optimal Internal Dissipation of a Damped Wave Equation Using a Topological Approach
- A Semismooth Newton-CG Method for Constrained Parameter Identification in Seismic Tomography
- Weakly Differentiable Functions
- The domain derivative and two applications in inverse scattering theory
- Shorter Notes: Strongly Continuous Semigroups, Weak Solutions, and the Variation of Constants Formula
- Variational source condition for ill-posed backward nonlinear Maxwell’s equations
- Total Variation Regularization Strategies in Full-Waveform Inversion
- An Inverse Initial Boundary Value Problem for the Wave Equation in the Presence of Imperfections of Small Volume
- On the sensitivity of solutions of hyperbolic
- Consistency of a phase field regularisation for an inverse problem governed by a quasilinear Maxwell system
- Hyperbolic Maxwell variational inequalities of the second kind
- A level-set approach based on reaction–diffusion equation applied to inversion problems in acoustic wave propagation
- Shape sensitivities for an inverse problem in magnetic induction tomography based on the eddy current model
- Optimal design for 2D wave equations
- A Spillover Phenomenon in the Optimal Location of Actuators
- Minimax Lagrangian Approach to the Differentiability of Nonlinear PDE Constrained Shape Functions Without Saddle Point Assumption
- Unnamed Item
- Unnamed Item
- Unnamed Item
