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

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

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

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

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

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

Numerical resolution of the inverse source problem for EEG using the quasi-reversibility method

Autoren: Darbas, Marion Leblond, Juliette Marmorat, Jean-Paul et al.

Weitere Verfasser: Darbas, Marion Leblond, Juliette Marmorat, Jean-Paul et al.

Quelle: Inverse Problems. 39:115003

Schlagwörter: Inverse problems, Inverse problems for PDEs, best constrained approximation, Numerical methods for inverse problems for boundary value problems involving PDEs, inverse problems, [MATH] Mathematics [math], elliptic PDE, data transmission, 01 natural sciences, 03 medical and health sciences, quasi-reversibility method, 0302 clinical medicine, brain imaging (EEG), [MATH]Mathematics [math], quasi-reversibility, source estimation, 0101 mathematics

Dateibeschreibung: application/xml; application/pdf

Zugangs-URL: https://zbmath.org/7758509
https://doi.org/10.1088/1361-6420/acf9c6
https://inria.hal.science/hal-03880526v2/document
https://inria.hal.science/hal-03880526v2
https://doi.org/10.1088/1361-6420/acf9c6

THE METHOD OF FUNDAMENTAL SOLUTIONS FOR AN INVERSE INTERNAL BOUNDARY VALUE PROBLEM FOR THE BIHARMONIC EQUATION: The method of fundamental solutions for an inverse internal boundary value problem for the biharmonic equation

Autoren: A. Zeb Daniel Lesnic

Quelle: International Journal of Computational Methods. :557-567

Schlagwörter: Fundamental solutions, Green's function methods, etc. for boundary value problems involving PDEs, regularization, method of fundamental solutions, biharmonic equation, Numerical methods for inverse problems for boundary value problems involving PDEs, \(L\)-curve, inverse problem, 0101 mathematics, 01 natural sciences

Dateibeschreibung: application/xml

Zugangs-URL: https://www.worldscientific.com/doi/abs/10.1142/S0219876209001991

Linear sampling methods for inverse boundary value problems in potential theory

Autoren: Kress, Rainer Kuhn, L.

Weitere Verfasser: Kress, Rainer Kuhn, L.

Quelle: Applied Numerical Mathematics. 43:161-173

Schlagwörter: linear sampling methods, Inverse problems for PDEs, Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation, Numerical methods for inverse problems for boundary value problems involving PDEs, Laplace's equation, 4. Education, inverse problem, 0101 mathematics, 16. Peace & justice, 01 natural sciences

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/1879057
https://doi.org/10.1016/s0168-9274(02)00123-x
https://www.sciencedirect.com/science/article/pii/S016892740200123X
https://resolver.sub.uni-goettingen.de/purl?gro-2/37117

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

Application of radial basis meshless methods to direct and inverse biharmonic boundary value problems

Autoren: Jichun Li

Quelle: Communications in Numerical Methods in Engineering. 21:169-182

Schlagwörter: Boundary value and inverse problems for harmonic functions in two dimensions, Inverse problems for PDEs, collocation, numerical examples, Numerical methods for inverse problems for boundary value problems involving PDEs, 01 natural sciences, Boundary value problems for higher-order elliptic equations, inverse problem, Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions, meshless method, Spectral, collocation and related methods for boundary value problems involving PDEs, 0101 mathematics, radial basis function, biharmonic boundary value problem

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/2159903
https://doi.org/10.1002/cnm.736
https://www.onlinelibrary.wiley.com/doi/abs/10.1002/cnm.736

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

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

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

A fast collocation method for an inverse boundary value problem

Autoren: Fang, Weifu Lu, Mingying

Quelle: International Journal for Numerical Methods in Engineering. 59:1563-1585

Schlagwörter: Inverse boundary value problem, Inverse problems for PDEs, Statistical mechanics of semiconductors, numerical examples, Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation, Numerical methods for inverse problems for boundary value problems involving PDEs, 4. Education, Boundary element methods for boundary value problems involving PDEs, Laplace equation, 01 natural sciences, Multiscale method, Gauss-Newton iteration algorithm, multiscale method, semiconductor contact resistance, boundary integral equations, inverse boundary value problem, 0101 mathematics, Collocation method, Semiconductor contact resistance

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/2126765
https://doi.org/10.1002/nme.928
https://onlinelibrary.wiley.com/doi/full/10.1002/nme.928
http://ui.adsabs.harvard.edu/abs/2004IJNME..59.1563F/abstract
https://onlinelibrary.wiley.com/doi/10.1002/nme.928/abstract

A radial basis meshless method for solving inverse boundary value problems

Autoren: Jichun Li

Quelle: Communications in Numerical Methods in Engineering. 20:51-61

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 problem, meshless method, Laplace equation, 0101 mathematics, numerical experiments, radial basis function, linear elliptic equations, 01 natural sciences, ill-posed Cauchy problem

Dateibeschreibung: application/xml

Zugangs-URL: https://www.onlinelibrary.wiley.com/doi/abs/10.1002/cnm.653

A hybrid method for inverse boundary value problems in potential theory

Autoren: Chapko, R. Kress, Rainer

Weitere Verfasser: Chapko, R. Kress, Rainer

Quelle: Journal of Inverse and Ill-Posed Problems. 13:27-40

Schlagwörter: Boundary value and inverse problems for harmonic functions in two dimensions, regularization, Inverse problems for PDEs, Numerical methods for inverse problems for boundary value problems involving PDEs, Newton method, Tikhonov regularization, Laplace equation, 0101 mathematics, 01 natural sciences, Dirichlet problem

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/2152326
https://doi.org/10.1163/1569394053583711
https://www.degruyter.com/view/j/jiip.2005.13.issue-1/1569394053583711/1569394053583711.xml?lang=en
https://www.degruyter.com/view/j/jiip.2005.13.issue-1/1569394053583711/1569394053583711.xml
https://resolver.sub.uni-goettingen.de/purl?gro-2/121435

A comparison of different methods to solve inverse biharmonic boundary value problems

Autoren: A. Zeb Derek B. Ingham Lionel Elliott et al.

Quelle: International Journal for Numerical Methods in Engineering. 45:1791-1806

Schlagwörter: Iterative numerical methods for linear systems, biharmonic equation, Numerical methods for inverse problems for boundary value problems involving PDEs, singular value decomposition, Boundary element methods for boundary value problems involving PDEs, Laplace equation, Stability and convergence of numerical methods for boundary value problems involving PDEs, ill-conditioned system, numerical results, stability, boundary element method, regularization, Ill-posedness and regularization problems in numerical linear algebra, Boundary value problems for higher-order elliptic equations, inverse problem, minimal energy methods, Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions, inverse boundary value problem

Dateibeschreibung: application/xml

Zugangs-URL: http://ui.adsabs.harvard.edu/abs/1999IJNME..45.1791Z/abstract
https://onlinelibrary.wiley.com/doi/10.1002/(SICI)1097-0207(19990830)45:12%3C1791::AID-NME654%3E3.0.CO;2-Z/references

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

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