Suchergebnisse - "Numerical methods for inverse problems for boundary value problems involving PDEs"

A Direct Sampling Method and Its Integration with Deep Learning for Inverse Scattering Problems with Phaseless Data: A direct sampling method and its integration with deep learning for inverse scattering problems with phaseless data

Autoren: Jianfeng Ning Fuqun Han Jun Zou

Quelle: SIAM Journal on Scientific Computing. 47:C343-C368

Schlagwörter: Inverse problems for PDEs, direct sampling method, Numerical methods for inverse problems for boundary value problems involving PDEs, phaseless data, Scattering theory for PDEs, FOS: Mathematics, deep learning, Mathematics - Numerical Analysis, Numerical Analysis (math.NA), inverse scattering problem, Artificial neural networks and deep learning

Dateibeschreibung: application/xml

Zugangs-URL: http://arxiv.org/abs/2403.02584

Direct sampling method for solving the inverse acoustic wave scattering problems in the time domain

Autoren: Guo, Hong Huang, Jin Li, Zhaoxing

Quelle: Computers & Mathematics with Applications. 179:229-242

Schlagwörter: Fourier-Laplace transform, direct sampling method, acoustic wave, Numerical methods for inverse problems for boundary value problems involving PDEs, time domain, Hydro- and aero-acoustics, inverse scattering problem

Dateibeschreibung: application/xml

Uniqueness and numerical resolution via iterated sensitivity equation of an inverse electromagnetic coefficient problem with partial boundary data

Autoren: Heleine, Jérémy

Quelle: Inverse Problems and Imaging. 19:498-522

Schlagwörter: numerical simulations, Inverse problems for PDEs, Maxwell equations, Maxwell's equations, Numerical methods for inverse problems for boundary value problems involving PDEs, inverse problem, uniqueness, sensitivity equation, quasi-reversibility, Numerical methods for ill-posed problems for boundary value problems involving PDEs

Dateibeschreibung: application/xml

Polarized consensus-based dynamics for optimization and sampling

Autoren: Bungert, Leon Roith, Tim Wacker, Philipp

Quelle: Mathematical programming 21, 125-155 (2024). doi:10.1007/s10107-024-02095-y
Mathematical Programming

Schlagwörter: PDEs in connection with control and optimization, polarization, sampling, Numerical methods for inverse problems for boundary value problems involving PDEs, Asymptotic behavior of solutions to PDEs, global optimization, 90C26, 35Q93, 35B40, 65N21, 02 engineering and technology, Numerical Analysis (math.NA), Nonconvex programming, global optimization, 01 natural sciences, consensus-based optimization, 49 - Mathematical sciences::4905 - Statistics::490503 - Computational statistics, Optimization and Control (math.OC), 0202 electrical engineering, electronic engineering, information engineering, FOS: Mathematics, Mathematics - Numerical Analysis, 49 - Mathematical sciences::4903 - Numerical and computational mathematics::490304 - Optimisation, 0101 mathematics, Mathematics - Optimization and Control

Dateibeschreibung: application/xml; application/pdf

Zugangs-URL: http://arxiv.org/abs/2211.05238
https://zbmath.org/8035682
https://doi.org/10.1007/s10107-024-02095-y
https://bib-pubdb1.desy.de/record/607321

Recovery of the rod cross-section shape

Autoren: Vladislav V. Kravchenko Sergii M. Torba Alexander O. Vatulyan

Quelle: Boletín de la Sociedad Matemática Mexicana. 31

Schlagwörter: Inverse problems for PDEs, Applications of boundary value problems involving ordinary differential equations, Numerical methods for inverse problems for boundary value problems involving PDEs, Inverse problems involving ordinary differential equations, Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.), FOS: Physical sciences, Numerical Analysis (math.NA), Mathematical Physics (math-ph), Sturm-Liouville theory, Mathematics - Classical Analysis and ODEs, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Linear boundary value problems for ordinary differential equations, Wave equation, Mathematics - Numerical Analysis, Numerical solution of inverse problems involving ordinary differential equations, Mathematical Physics, 34A55, 34B05, 34B24, 34B60, 34L40, 35L05, 35R30, 65L09, 65N21

Dateibeschreibung: application/xml

Zugangs-URL: http://arxiv.org/abs/2502.12368
https://zbmath.org/8032038
https://doi.org/10.1007/s40590-025-00727-7

Existence and Uniqueness Results for Generalized Non-local Hallaire-Luikov Moisture Transfer Equation: Existence and uniqueness results for generalized non-local Hallaire-Luikov moisture transfer equation

Autoren: Asim Ilyas Salman A. Malik Kamran Suhaib

Quelle: Acta Applicandae Mathematicae. 195

Schlagwörter: Inverse problems for PDEs, Fourier coefficients, Fourier series of functions with special properties, special Fourier series, Inverse problems in thermodynamics and heat transfer, Numerical methods for inverse problems for boundary value problems involving PDEs, inverse problem, Hallaire-Luikov moisture transfer equation, Fractional partial differential equations, ill-posedness, Hilfer derivative, Mittag-Leffer-type functions

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/7991512
https://doi.org/10.1007/s10440-025-00712-2

Recovering the impedance function or shape of elastic obstacle from partial Cauchy data

Autoren: Sun, Yao Wang, Pan Bo, Chen

Quelle: Discrete and Continuous Dynamical Systems - S. 17:2654-2678

Schlagwörter: Cauchy data, Inverse problems for PDEs, Inverse problems for waves in solid mechanics, Numerical methods for inverse problems for boundary value problems involving PDEs, inverse impedance problem, boundary integral equation, Overdetermined boundary value problems for PDEs and systems of PDEs, inverse shape problem, Navier equation, Boundary element methods applied to problems in solid mechanics

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/7893924
https://doi.org/10.3934/dcdss.2024025

Reconstruction of Voronoi diagrams: the case of inverse conductivity problems

Autoren: Ernesto G Birgin Antoine Laurain Danilo R Souza

Quelle: Inverse Problems. 41:055007

Schlagwörter: Inverse problems for PDEs, Boundary value problems for second-order elliptic equations, non-smooth shape calculus, Numerical methods for inverse problems for boundary value problems involving PDEs, inverse conductivity problems, Voronoi diagrams, optimization

Dateibeschreibung: application/xml

Crack identification in a multi-layer inhomogeneous domain using the Reciprocity Gap-Linear Sampling Method: Crack identification in a multi-layer inhomogeneous domain using the reciprocity gap-linear sampling method

Autoren: Yosra Boukari Nouha Jenhani

Quelle: Inverse Problems. 41:045014

Schlagwörter: Inverse problems for PDEs, Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation, Numerical methods for inverse problems for boundary value problems involving PDEs, inverse problems, RG-LSM, crack identification, data completion algorithm, Helmholtz equation

Dateibeschreibung: application/xml

Multi-frequency progressive refinement for learned inverse scattering

Autoren: Owen Melia Olivia Tsang Vasileios Charisopoulos et al.

Quelle: Journal of Computational Physics. 527:113809

Schlagwörter: machine learning, Numerical methods for inverse problems for boundary value problems involving PDEs, inverse problems, algorithm unrolling, deep learning, FOS: Physical sciences, inverse scattering, Computational Physics (physics.comp-ph), Physics - Computational Physics, Artificial neural networks and deep learning

Dateibeschreibung: application/xml

Zugangs-URL: http://arxiv.org/abs/2405.13214

Fading regularization method for an inverse boundary value problem associated with the biharmonic equation

Autoren: Boukraa, Mohamed Aziz Caillé, Laëtitia Delvare, Franck et al.

Weitere Verfasser: Boukraa, Mohamed Aziz Caillé, Laëtitia Delvare, Franck et al.

Quelle: Journal of Computational and Applied Mathematics. 457:116285

Schlagwörter: Fundamental solutions, Green's function methods, etc. for boundary value problems involving PDEs, Cauchy problem, Numerical optimization and variational techniques, method of fundamental solutions, biharmonic equation, Numerical methods for inverse problems for boundary value problems involving PDEs, Partial functional-differential equations, [MATH] Mathematics [math], [MATH.MATH-NA] Mathematics [math]/Numerical Analysis [math.NA], Biharmonic equation, inverse boundary value problems, Inverse boundary value problems, Method of fundamental solutions, Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions, [MATH]Mathematics [math], [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA]

Dateibeschreibung: application/xml; application/pdf

Zugangs-URL: https://zbmath.org/7958822
https://doi.org/10.1016/j.cam.2024.116285
https://hal.science/hal-04711339v1/document
https://hal.science/hal-04711339v1
https://doi.org/10.1016/j.cam.2024.116285

Imaging anisotropic conductivity from internal measurements with mixed least-squares deep neural networks

Autoren: Siyu Cen Bangti Jin Xiyao Li et al.

Quelle: Journal of Computational Physics. 523:113648

Schlagwörter: Numerical optimization and variational techniques, mixed least-squares, Numerical methods for inverse problems for boundary value problems involving PDEs, deep neural network, FOS: Mathematics, error estimate, Mathematics - Numerical Analysis, Numerical Analysis (math.NA), anisotropic conductivity, Artificial neural networks and deep learning

Dateibeschreibung: application/xml

Zugangs-URL: http://arxiv.org/abs/2412.00527

Extended-Sampling-Bayesian Method for Limited Aperture Inverse Scattering Problems: Extended-sampling-Bayesian method for limited aperture inverse scattering problems

Autoren: Zhaoxing Li Zhiliang Deng Jiguang Sun

Quelle: SIAM Journal on Imaging Sciences. 13:422-444

Schlagwörter: Numerical methods for inverse problems for boundary value problems involving PDEs, Bayesian inference, Inverse problems (including inverse scattering) in optics and electromagnetic theory, Hydro- and aero-acoustics, extended sampling method, Bayesian inversion, inverse scattering, limited aperture, 0101 mathematics, 01 natural sciences

Dateibeschreibung: application/xml

Zugangs-URL: https://epubs.siam.org/doi/pdf/10.1137/19M1270501
https://doi.org/10.1137/19M1270501
https://dblp.uni-trier.de/db/journals/siamis/siamis13.html#LiDS20

Full-waveform reconstruction of micro-seismic events via topological derivative approach

Autoren: A.A.M. da Silva A.A. Novotny A.A.S. Amad et al.

Quelle: Journal of Computational Physics. 510:113099

Schlagwörter: frequency-domain analysis, Physics - Geophysics, Numerical methods for eigenvalue problems for boundary value problems involving PDEs, full waveform inversion, Numerical methods for inverse problems for boundary value problems involving PDEs, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, acoustic emission, moment tensor inversion

Dateibeschreibung: application/xml

Zugangs-URL: http://arxiv.org/abs/2401.08677
https://zbmath.org/8021056
https://doi.org/10.1016/j.jcp.2024.113099

A SBFEM and sensitivity analysis based algorithm for solving inverse viscoelastic problems

Autoren: Wang Chongshuai He Yiqian Yang Haitian

Quelle: Engineering Analysis with Boundary Elements. 106:588-598

Schlagwörter: Inverse problems in equilibrium solid mechanics, Numerical methods for inverse problems for boundary value problems involving PDEs, 02 engineering and technology, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, 01 natural sciences, 0203 mechanical engineering, inverse problem, identification, derivative, 0101 mathematics, adaptive computing, Boundary element methods applied to problems in solid mechanics, viscoelasticity, scaled boundary finite element method (SBFEM)

Dateibeschreibung: application/xml

Zugangs-URL: https://www.sciencedirect.com/science/article/pii/S0955799719300633

An inverse dipole source problem in inhomogeneous media: Application to the EEG source localization in neonates: An inverse dipole source problem in inhomogeneous media: application to the EEG source localization in neonates

Autoren: Darbas, Marion Diallo, Mohamadou Malal El Badia, Abdellatif et al.

Weitere Verfasser: Darbas, Marion Diallo, Mohamadou Malal El Badia, Abdellatif et al.

Quelle: Journal of Inverse and Ill-posed Problems. 27:255-281

Schlagwörter: Biomedical imaging and signal processing, Identification in stochastic control theory, Numerical methods for inverse problems for boundary value problems involving PDEs, PDEs in connection with biology, chemistry and other natural sciences, stability, identifiability, 16. Peace & justice, 01 natural sciences, Least squares and related methods for stochastic control systems, inverse source problem, EEG, Sensitivity, stability, well-posedness, 0101 mathematics, numerical experiments, [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA]

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/7068273
https://doi.org/10.1515/jiip-2017-0120
http://www.degruyter.com/view/j/jiip.2019.27.issue-2/jiip-2017-0120/jiip-2017-0120.xml

Machine Learning of Space-Fractional Differential Equations: Machine learning of space-fractional differential equations

Autoren: Mamikon Gulian Maziar Raissi Paris Perdikaris et al.

Quelle: SIAM Journal on Scientific Computing. 41:A2485-A2509

Schlagwörter: FOS: Computer and information sciences, matérn kernel, Computer Science - Machine Learning, 35R11, 65N21, 62M10, 62F15, 60G15, 60G52, Numerical methods for inverse problems for boundary value problems involving PDEs, Bayesian inference, fractional diffusion, Gaussian processes, Machine Learning (stat.ML), Fractional partial differential equations, 01 natural sciences, stable process, Machine Learning (cs.LG), Time series, auto-correlation, regression, etc. in statistics (GARCH), Stable stochastic processes, anomalous diffusion, Statistics - Machine Learning, 0101 mathematics

Dateibeschreibung: application/xml

Zugangs-URL: http://arxiv.org/pdf/1808.00931
http://arxiv.org/abs/1808.00931

Numerical method for inverse scattering by random penetrable periodic structures

Autoren: Wang, Yi Lv, Junliang Li, Shuxin

Quelle: Inverse Problems and Imaging. 0:0-0

Schlagwörter: Landweber iterative, Numerical methods for inverse problems for boundary value problems involving PDEs, Tikhonov regularization, penetrable periodic structures, Inverse problems (including inverse scattering) in optics and electromagnetic theory, muilti-frequency method, Monte Carlo methods, inverse scattering, stationary stochastic processes

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/7977868
https://doi.org/10.3934/ipi.2024038

A novel direct Helmholtz solver in inhomogeneous media based on the operator Fourier transform functional calculus

Autoren: Max Cubillos Edwin Jimenez

Quelle: Journal of Computational Physics. 527:113808

Schlagwörter: Finite difference methods for boundary value problems involving PDEs, Functional calculus for linear operators, operator Fourier transform, 41A35, 47A60, 47G30, 65N99, 78A40, Numerical methods for inverse problems for boundary value problems involving PDEs, inhomogeneous media, FOS: Physical sciences, wave propagation, Numerical Analysis (math.NA), Computational Physics (physics.comp-ph), FOS: Mathematics, Mathematics - Numerical Analysis, Pseudodifferential operators, Waves and radiation in optics and electromagnetic theory, Helmholtz, Physics - Computational Physics

Dateibeschreibung: application/xml

Zugangs-URL: http://arxiv.org/abs/2407.09436
https://zbmath.org/8021106
https://doi.org/10.1016/j.jcp.2025.113808

Regularized Reduced Order Lippmann-Schwinger-Lanczos Method for Inverse Scattering Problems in the Frequency Domain: Regularized reduced order Lippmann-Schwinger-Lanczos method for inverse scattering problems in the frequency domain

Autoren: J. Baker E. Cherkaev V. Druskin et al.

Quelle: Journal of Computational Physics. 525:113725

Schlagwörter: Numerical methods for inverse problems for boundary value problems involving PDEs, FOS: Mathematics, reduced order model, Schrödinger equation, inverse scattering, Helmholtz equation, Mathematics - Numerical Analysis, Numerical Analysis (math.NA), Lippmann-Schwinger Lanczos algorithm

Dateibeschreibung: application/xml

Zugangs-URL: http://arxiv.org/abs/2311.16367
https://zbmath.org/8021062
https://doi.org/10.1016/j.jcp.2025.113725