A novel identification scheme of an inverse source problem based on Hilbert reproducing kernels
DOI10.1007/978-3-031-33069-8_10OpenAlexW4384434661MaRDI QIDQ6200541
Sara Zaroual, M. Nachaoui, F. Jauberteau
Publication date: 22 March 2024
Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-031-33069-8_10
inverse problemgradient methodHilbert spaces with reproducing kernelssource term identificationcontrol optimal formulation
Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) PDEs with randomness, stochastic partial differential equations (35R60) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Methods of reduced gradient type (90C52) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Inverse problems in optimal control (49N45)
Cites Work
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- Inverse source identification by Green's function
- On rational approximation methods for inverse source problems
- Discretized Tikhonov regularization by reproducing kernel Hilbert space for backward heat conduction problem
- Inverse heat problem of determining time-dependent source parameter in reproducing kernel space
- Solving the inverse problem of an SIS epidemic reaction-diffusion model by optimal control methods
- A non-convex denoising model for impulse and Gaussian noise mixture removing using bi-level parameter identification
- An optimal control approach for determining the source term in fractional diffusion equation by different cost functionals
- An improved bilevel optimization approach for image super-resolution based on a fractional diffusion tensor
- Dual bases and discrete reproducing kernels: a unified framework for RBF and MLS approximation
- Heat source identification based on \(\ell_1\) constrained minimization
- Parameters identification in a seawater intrusion model using adjoint sensitive method
- Shape optimization method for an inverse geometric source problem and stability at critical shape
- Stochastic processes with sample paths in reproducing kernel Hilbert spaces
- An Introduction to the Theory of Reproducing Kernel Hilbert Spaces
- Identification of multipolar sources in a bioluminescent tomography problem
- A Reproducing Kernel Hilbert Space Framework for Spike Train Signal Processing
- Analysis of an adjoint problem approach to the identification of an unknown diffusion coefficient
- Computational issues arising in multidimensional elliptic inverse problems: the inverse problem of electrocardiography
- Identification of point sources in two-dimensional advection-diffusion-reaction equation: application to pollution sources in a river. Stationary case
- Identification of Dislocations in Materials from Boundary Measurements
- Coupled complex boundary method for a geometric inverse source problem
- On the numerical approximation of some inverse problems governed by nonlinear delay differential equation
- Tikhonov Regularization by a Reproducing Kernel Hilbert Space for the Cauchy Problem for an Elliptic Equation
- Theory of Reproducing Kernels
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