Search Results - Numerical methods for inverse problems for boundary value problems involving PDEs
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1
Authors: Heleine, Jérémy
Source: Inverse Problems and Imaging. 19:498-522
Subject Terms: 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
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2
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Source: SIAM Journal on Scientific Computing. 47:C343-C368
Subject Terms: 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
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Access URL: http://arxiv.org/abs/2403.02584
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3
Authors:
Source: Computers & Mathematics with Applications. 179:229-242
Subject Terms: 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
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4
Authors: et al.
Contributors: et al.
Source: Journal of Computational and Applied Mathematics. 457:116285
Subject Terms: 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]
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5
Authors:
Source: Inverse Problems. 41:055007
Subject Terms: 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
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6
Authors:
Source: SIAM Journal on Imaging Sciences. 13:422-444
Subject Terms: 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
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7
Authors: et al.
Contributors: et al.
Source: Inverse Problems. 39:115003
Subject Terms: 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
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8
Authors:
Source: International Journal of Computational Methods. :557-567
Subject Terms: 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
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9
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Source: Applied Numerical Mathematics. 43:161-173
Subject Terms: 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
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10
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Source: Boletín de la Sociedad Matemática Mexicana. 31
Subject Terms: 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
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11
Authors: Jichun Li
Source: Communications in Numerical Methods in Engineering. 21:169-182
Subject Terms: 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
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12
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Source: Acta Applicandae Mathematicae. 195
Subject Terms: 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
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13
Authors: et al.
Source: Journal of Computational Physics. 525:113725
Subject Terms: 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
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14
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Source: Mathematical programming 21, 125-155 (2024). doi:10.1007/s10107-024-02095-y
Mathematical ProgrammingSubject Terms: 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
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15
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Source: International Journal for Numerical Methods in Engineering. 59:1563-1585
Subject Terms: 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
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16
Authors: Jichun Li
Source: Communications in Numerical Methods in Engineering. 20:51-61
Subject Terms: 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
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17
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Source: Journal of Inverse and Ill-Posed Problems. 13:27-40
Subject Terms: 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
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Access 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 -
18
Authors: et al.
Source: International Journal for Numerical Methods in Engineering. 45:1791-1806
Subject Terms: 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
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Access 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 -
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Source: Inverse Problems. 41:045014
Subject Terms: 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
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20
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Source: Discrete and Continuous Dynamical Systems - S. 17:2654-2678
Subject Terms: 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
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