A boundary integral formulation and a topological energy-based method for an inverse 3D multiple scattering problem with sound-soft, sound-hard, penetrable, and absorbing objects
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Publication:2093172
DOI10.1515/cmam-2021-0234zbMath1497.65249OpenAlexW4293527488WikidataQ113741160 ScholiaQ113741160MaRDI QIDQ2093172
María-Luisa Rapún, Frédérique Le Louër
Publication date: 4 November 2022
Published in: Computational Methods in Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/cmam-2021-0234
spectral methodsinverse scatteringshape reconstructionboundary integral methodsmultifrequencytopological energy
Boundary element methods for boundary value problems involving PDEs (65N38) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) Numerical methods for ill-posed problems for boundary value problems involving PDEs (65N20)
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Cites Work
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- Defect detection from multi-frequency limited data via topological sensitivity
- Well-posed boundary integral equation formulations and Nyström discretizations for the solution of Helmholtz transmission problems in two-dimensional Lipschitz domains
- Spectrally accurate numerical solution of hypersingular boundary integral equations for three-dimensional electromagnetic wave scattering problems
- Multi-frequency topological derivative for approximate shape acquisition of curve-like thin electromagnetic inhomogeneities
- Multiple traces boundary integral formulation for Helmholtz transmission problems
- Inverse Problems. Mathematical and analytical techniques with applications to engineering
- A high order spectral algorithm for elastic obstacle scattering in three dimensions
- Qualitative methods in inverse scattering theory. An introduction
- Symmetric boundary integral formulations for Helmholtz transmission problems
- A spectrally accurate algorithm for electromagnetic scattering in three dimensions
- Overlapped BEM-FEM for some Helmholtz transmission problems
- Boundary integral equations
- Identification of sound-soft 3D obstacles from phaseless data
- Time domain topological gradient and time reversal analogy: an inverse method for ultrasonic target detection
- Partial differential equations. II: Qualitative studies of linear equations
- A direct boundary integral equation method for transmission problems
- On an integral equation approach for the exterior Robin problem for the Helmholtz equation
- Inverse acoustic and electromagnetic scattering theory.
- Some observations on Babuška and Brezzi theories
- Performance analysis of multi-frequency topological derivative for reconstructing perfectly conducting cracks
- Fully discrete spectral boundary integral methods for Helmholtz problems on smooth closed surfaces in \(\mathbb R^3\)
- A high-order algorithm for obstacle scattering in three dimensions
- Topological derivatives in shape optimization
- Application of the topological derivative to post-processing infrared time-harmonic thermograms for defect detection
- Optimized weak coupling of boundary element and finite element methods for acoustic scattering
- Detection of multiple impedance obstacles by non-iterative topological gradient based methods
- An overlapping decomposition framework for wave propagation in heterogeneous and unbounded media: formulation, analysis, algorithm, and simulation
- Theoretical aspects of the application of convolution quadrature to scattering of acoustic waves
- Über das Dirichletsche Außenraumproblem für die Helmholtzsche Schwingungsgleichung
- Zur Dirichletschen Randwertaufgabe des Außenraumes der Schwingungsgleichung
- Mixed boundary integral methods for Helmholtz transmission problems
- Boundary integral approximation of a heat-diffusion problem in time-harmonic regime
- Acoustic inverse scattering using topological derivative of far-field measurements-based L 2 cost functionals
- Stability and Resolution Analysis for a Topological Derivative Based Imaging Functional
- Simulation of acoustic scattering by multiple obstacles in three dimensions
- Topological Sensitivity for Solving Inverse Multiple Scattering Problems in Three-dimensional Electromagnetism. Part I: One Step Method
- Noninvasive Imaging of Three-Dimensional Micro and Nanostructures by Topological Methods
- An Introduction to the Mathematical Theory of Inverse Problems
- Small-inclusion asymptotic of misfit functionals for inverse problems in acoustics
- Boundary integral equations for mixed Dirichlet, Neumann and transmission problems
- On Single Integral Equations for the Transmission Problem of Acoustics
- Transmission problems for the Helmholtz equation
- The Numerical Solution of Laplace’s Equation in Three Dimensions
- On mixed boundary value problems for the Helmholtz equation
- The Topological Asymptotic for the Helmholtz Equation
- A Regularized Sampling Method for Solving Three-Dimensional Inverse Scattering Problems
- Linear and Nonlinear Inverse Problems with Practical Applications
- The Topological Asymptotic for the Helmholtz Equation with Dirichlet Condition on the Boundary of an Arbitrarily Shaped Hole
- A simple method for solving inverse scattering problems in the resonance region
- Monotonicity in inverse obstacle scattering on unbounded domains
- On the solution of direct and inverse multiple scattering problems for mixed sound-soft, sound-hard and penetrable objects
- Processing the 2D and 3D Fresnel experimental databases via topological derivative methods
- Analysis of topological derivative as a tool for qualitative identification
- Optimal Mesh Size for Inverse Medium Scattering Problems
- A survey on sampling and probe methods for inverse problems
- Why the high-frequency inverse scattering by topological sensitivity may work
- The application of integral equation methods to the numerical solution of some exterior boundary-value problems
- A new method in inverse scattering based on the topological derivative
- Inverse problems for partial differential equations
- Boundary element simulation of thermal waves
- Acoustic and electromagnetic equations. Integral representations for harmonic problems
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