Full-waveform inversion using level set and cut elements for sharp-interface problems

DOI10.1016/j.jcp.2023.112561MaRDI QIDQ6087979

Bruno Souza Carmo, Eduardo Alberto Fancello, Emílio Carlos Nelli Silva, Paulo Bastos de Castro, Hélio jun. Emmendoerfer

Publication date: 16 November 2023

Published in: Journal of Computational Physics (Search for Journal in Brave)

zbMATH Keywords

inverse problemstopology optimizationlevel set methodscut elements

Mathematics Subject Classification ID

Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Miscellaneous topics in partial differential equations (35Rxx) Numerical analysis in abstract spaces (65Jxx)

Cites Work

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• Topology optimization for transient wave propagation problems in one dimension
• Levelset based fluid topology optimization using the extended finite element method
• Time reversal with partial information for wave refocusing and scatterer identification
• Localization of small obstacles from back-scattered data at limited incident angles with full-waveform inversion
• The finite cell method for three-dimensional problems of solid mechanics
• Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
• A framework for the construction of level set methods for shape optimization and reconstruction
• A parametric level-set method for partially discrete tomography
• Image restoration with a high-order total variation minimization method
• Explicit time integration with lumped mass matrix for enriched finite elements solution of time domain wave problems
• Hybrid absorbing scheme based on hyperelliptical layers with non-reflecting boundary conditions in scalar wave equations
• Shape identification of scatterers using a time-dependent adjoint method
• Modeling and simulation of keyhole-based welding as multi-domain problem using the extended finite element method
• Self-adaptive absorbing boundary conditions for quasilinear acoustic wave propagation
• A tutorial on the adjoint method for inverse problems
• Shape optimization using the cut finite element method
• Immersed boundary parametrizations for full waveform inversion
• Parametric Level Set Methods for Inverse Problems
• Total Variation Regularization Strategies in Full-Waveform Inversion
• Level Set--Based Shape Optimization Approach for Sharp-Interface Reconstructions in Time-Domain Full Waveform Inversion
• A level-set approach based on reaction–diffusion equation applied to inversion problems in acoustic wave propagation
• Modern regularization methods for inverse problems
• Inverse acoustic and electromagnetic scattering theory

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