Výsledky vyhledávání - "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

Autoři: Jianfeng Ning Fuqun Han Jun Zou

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

Témata: 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

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2403.02584

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

Autoři: Guo, Hong Huang, Jin Li, Zhaoxing

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

Témata: 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

Popis souboru: application/xml

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

Autoři: Heleine, Jérémy

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

Témata: 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

Popis souboru: application/xml

Polarized consensus-based dynamics for optimization and sampling

Autoři: Bungert, Leon Roith, Tim Wacker, Philipp

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

Témata: 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

Popis souboru: application/xml; application/pdf

Přístupová URL adresa: 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

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

Zdroj: Boletín de la Sociedad Matemática Mexicana. 31

Témata: 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

Popis souboru: application/xml

Přístupová URL adresa: 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

Autoři: Asim Ilyas Salman A. Malik Kamran Suhaib

Zdroj: Acta Applicandae Mathematicae. 195

Témata: 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

Popis souboru: application/xml

Přístupová URL adresa: 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

Autoři: Sun, Yao Wang, Pan Bo, Chen

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

Témata: 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

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/7893924
https://doi.org/10.3934/dcdss.2024025

Reconstruction of Voronoi diagrams: the case of inverse conductivity problems

Autoři: Ernesto G Birgin Antoine Laurain Danilo R Souza

Zdroj: Inverse Problems. 41:055007

Témata: 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

Popis souboru: 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

Autoři: Yosra Boukari Nouha Jenhani

Zdroj: Inverse Problems. 41:045014

Témata: 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

Popis souboru: application/xml

Multi-frequency progressive refinement for learned inverse scattering

Autoři: Owen Melia Olivia Tsang Vasileios Charisopoulos a další

Zdroj: Journal of Computational Physics. 527:113809

Témata: 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

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2405.13214

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

Autoři: Boukraa, Mohamed Aziz Caillé, Laëtitia Delvare, Franck a další

Přispěvatelé: Boukraa, Mohamed Aziz Caillé, Laëtitia Delvare, Franck a další

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

Témata: 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]

Popis souboru: application/xml; application/pdf

Přístupová URL adresa: 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

Autoři: Siyu Cen Bangti Jin Xiyao Li a další

Zdroj: Journal of Computational Physics. 523:113648

Témata: 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

Popis souboru: application/xml

Přístupová URL adresa: 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

Autoři: Zhaoxing Li Zhiliang Deng Jiguang Sun

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

Témata: 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

Popis souboru: application/xml

Přístupová URL adresa: 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

Autoři: A.A.M. da Silva A.A. Novotny A.A.S. Amad a další

Zdroj: Journal of Computational Physics. 510:113099

Témata: 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

Popis souboru: application/xml

Přístupová URL adresa: 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

Autoři: Wang Chongshuai He Yiqian Yang Haitian

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

Témata: 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)

Popis souboru: application/xml

Přístupová URL adresa: 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

Autoři: Darbas, Marion Diallo, Mohamadou Malal El Badia, Abdellatif a další

Přispěvatelé: Darbas, Marion Diallo, Mohamadou Malal El Badia, Abdellatif a další

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

Témata: 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]

Popis souboru: application/xml

Přístupová URL adresa: 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

Autoři: Mamikon Gulian Maziar Raissi Paris Perdikaris a další

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

Témata: 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

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/pdf/1808.00931
http://arxiv.org/abs/1808.00931

Numerical method for inverse scattering by random penetrable periodic structures

Autoři: Wang, Yi Lv, Junliang Li, Shuxin

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

Témata: 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

Popis souboru: application/xml

Přístupová URL adresa: 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

Autoři: Max Cubillos Edwin Jimenez

Zdroj: Journal of Computational Physics. 527:113808

Témata: 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

Popis souboru: application/xml

Přístupová URL adresa: 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

Autoři: J. Baker E. Cherkaev V. Druskin a další

Zdroj: Journal of Computational Physics. 525:113725

Témata: 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

Popis souboru: application/xml

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