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

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

File Description: application/xml

Accurate Adaptive Deep Learning Method for Solving Elliptic Problems: Accurate adaptive deep learning method for solving elliptic problems

Authors: Ying, Jinyong, Xie, Yaqi, Li, Jiao, Wang, Hongqiao

Source: Communications in Computational Physics. 37:849-876

Subject Terms: FOS: Computer and information sciences, adaptive sampling method, FOS: Mathematics, Mathematics - Numerical Analysis, Numerical Analysis (math.NA), elliptic problems, deep learning methods, Statistics - Computation, Computation (stat.CO), Numerical methods for ill-posed problems for boundary value problems involving PDEs, Artificial neural networks and deep learning

File Description: application/xml

Access URL: http://arxiv.org/abs/2404.18838

Continuity-preserved deep learning method for solving elliptic interface problems

Authors: Jiao Li, Ran Bi, Yaqi Xie, Jinyong Ying

Source: Computational and Applied Mathematics. 44

Subject Terms: Levenberg-Marquardt method, deep learning method, elliptic interface problem, continuity-preserved, Numerical methods for ill-posed problems for boundary value problems involving PDEs, Artificial neural networks and deep learning, convergence analysis

File Description: application/xml

The time two-grid algorithm combined with difference scheme for 2D nonlocal nonlinear wave equation

Authors: Zhang, Haixiang, Jiang, Xiaoxuan, Wang, Furong, Yang, Xuehua

Source: Journal of Applied Mathematics and Computing. 70:1127-1151

Subject Terms: nonlinear wave equation, two-grid, Boundary value problems for PDEs of mixed type, nonlocal, Boundary element methods for boundary value problems involving PDEs, stability and convergence, Nonlocal and multipoint boundary value problems for ordinary differential equations, Numerical methods for ill-posed problems for boundary value problems involving PDEs, existence and uniqueness

File Description: application/xml

Access URL: https://zbmath.org/7893811
https://doi.org/10.1007/s12190-024-02000-y

Neural network solution for an inverse problem associated with the Dirichlet eigenvalues of the anisotropic Laplace operator

Authors: Ossandon, Sebastián, Reyes, Camilo, Reyes-Martínez, Carlos Marat

Source: Articulos_ANID
Agencia Nacional de Investigación y Desarrollo
instacron:ANID
Conicyt_qa
ANID
Computers & Mathematics With Applications
Artículos CONICYT
CONICYT Chile
instacron:CONICYT

Subject Terms: Numerical methods for eigenvalue problems for boundary value problems involving PDEs, anisotropic Laplace operator, 0203 mechanical engineering, inverse problems, finite element method, 0202 electrical engineering, electronic engineering, information engineering, radial basis functions, 02 engineering and technology, Neural networks for/in biological studies, artificial life and related topics, artificial neural networks, Dirichlet eigenvalues, Numerical methods for ill-posed problems for boundary value problems involving PDEs

File Description: application/xml

Access URL: http://dblp.uni-trier.de/db/journals/cma/cma72.html#OssandonRR16
https://www.sciencedirect.com/science/article/pii/S0898122116303698
https://researchers.unab.cl/es/publications/neural-network-solution-for-an-inverse-problem-associated-with-th
https://www.sciencedirect.com/science/article/abs/pii/S0898122116303698
https://pure.pucv.cl/es/publications/neural-network-solution-for-an-inverse-problem-associated-with-th
https://dblp.uni-trier.de/db/journals/cma/cma72.html#OssandonRR16
https://hdl.handle.net/10533/227887
https://repositorio-qa.anid.cl/handle/10533/227887
http://hdl.handle.net/10533/227887

A Finite Element Method for Solving the Two Phase Stefan Problem in One Space Dimension: A finite element method for solving the two phase Stefan problem in one space dimension

Authors: Masatake Mori

Source: Publications of the Research Institute for Mathematical Sciences. 13:723-753

Subject Terms: Numerical methods for ordinary differential equations, 0101 mathematics, 01 natural sciences, Numerical methods for ill-posed problems for boundary value problems involving PDEs

File Description: application/xml

Access URL: http://www.ems-ph.org/journals/show_pdf.php?issn=0034-5318&vol=13&iss=3&rank=6
https://zbmath.org/3589082
https://doi.org/10.2977/prims/1195189605
http://ci.nii.ac.jp/naid/110004716029
https://www.ems-ph.org/journals/show_pdf.php?issn=0034-5318&vol=13&iss=3&rank=6
https://www.ems-ph.org/doi/10.2977/prims/1195189605

The posing of certain improper problems of mathematical physics

Authors: M. M. Lavrent'ev, V. G. Vasil'ev

Source: Siberian Mathematical Journal. 7:450-463

Subject Terms: Numerical solutions of ill-posed problems in abstract spaces, regularization, approximately defined problems, Tikhonov regularization, Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs, Numerical methods for ill-posed problems for integral equations, probability method of solution, ill-posed problems, Numerical solution of ill-posed problems involving ordinary differential equations, correct problems, application to integral equations of convolution type, Ill-posed problems for PDEs, pseudo-solutions, Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type), Numerical methods for ill-posed problems for boundary value problems involving PDEs

File Description: application/xml

Access URL: https://link.springer.com/article/10.1007/BF00966243
https://link.springer.com/content/pdf/10.1007/BF00966243.pdf

zbMATH Open Web Interface contents unavailable due to conflicting licenses.

Authors: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

Subject Terms: Numerical methods for inverse problems for boundary value problems involving PDEs, Numerical methods for ill-posed problems for boundary value problems involving PDEs

File Description: application/xml

Access URL: https://zbmath.org/8036993