Solving an inverse parabolic problem by optimization from final measurement data
From MaRDI portal
Publication:2493930
DOI10.1016/j.cam.2005.06.003zbMath1091.35113OpenAlexW2038955209MaRDI QIDQ2493930
Publication date: 16 June 2006
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2005.06.003
Inverse problems for PDEs (35R30) Initial value problems for second-order parabolic equations (35K15) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32)
Related Items
Identification of the thermal growth characteristics of coagulated tumor tissue in laser-induced thermotherapy, A Shifted Chebyshev-Tau method for finding a time-dependent heat source in heat equation, An inverse problem of reconstructing option drift rate from market observation data, Recovery of thermal conductivity in two-dimensional media with nonlinear source by optimizations, Simultaneous determination of the space-dependent source and the initial distribution in a heat equation by regularizing Fourier coefficients of the given measurements, Identifying the implied volatility using the total variation regularization, Drift coefficient inversion problem of Kolmogorov-type equation, A regularized optimization method for identifying the space-dependent source and the initial value simultaneously in a parabolic equation, A TRACE-TYPE FUNCTIONAL METHOD FOR DETERMINATION OF A COEFFICIENT IN AN INVERSE HEAT CONDUCTION PROBLEM, Identification of time-dependent source terms and control parameters in parabolic equations from overspecified boundary data, A directly numerical algorithm for a backward time-fractional diffusion equation based on the finite element method, Convergence rates for the reaction coefficient and the initial temperature identification problems, Inverse problem for the reaction diffusion system by optimization method, On the determination of the spatial-dependent potential coefficient in a linear pseudoparabolic equation, Recovery of non-smooth radiative coefficient from nonlocal observation by diffusion system, An inverse radiative coefficient problem arising in a two-dimensional heat conduction equation with a homogeneous Dirichlet boundary condition in a circular section, Shannon-Taylor technique for solving one-dimensional inverse heat conduction problem, Reconstruction and stability analysis of potential appearing in time‐fractional subdiffusion, Optimization method for a multi-parameters identification problem in degenerate parabolic equations, An inverse problem for computing a leading coefficient in the Sturm-Liouville operator by using the boundary data, Application of the restrained optimal perturbation method to study the backward heat conduction problem, The direct and inverse problem for an inclusion within a heat-conducting layered medium, Simultaneous reconstruction of the spatially-distributed reaction coefficient, initial temperature and heat source from temperature measurements at different times, A note on the existence and stability of an inverse problem for a SIS model, Simultaneous identification of two parameters on the reaction diffusion system from discrete measurement data, The time-fractional diffusion inverse problem subject to an extra measurement by a local discontinuous Galerkin method, Determination of the unknown source term in a linear parabolic problem from the measured data at the final time., On the existence and uniqueness of an inverse problem in epidemiology, An inverse problem of determining the implied volatility in option pricing, Reconstructing an unknown time-dependent function in the boundary conditions of a parabolic PDE, An inverse problem of identifying the coefficient of parabolic equation, Reconstruction of the space-dependent perfusion coefficient from final time or time-average temperature measurements, An optimal control method for nonlinear inverse diffusion coefficient problem, Simultaneous identification of two time independent coefficients in a nonlinear phase field system, Identifying the coefficient of first-order in parabolic equation from final measurement data, Solving the inverse problem of an SIS epidemic reaction-diffusion model by optimal control methods, Uniqueness and stability of the minimizer for a binary functional arising in an inverse heat conduction problem, An inverse problem of identifying the coefficient of first-order in a degenerate parabolic equation, An inverse problem arisen in the zero-coupon bond pricing, Space-dependent perfusion coefficient identification in the transient bio-heat equation, Simultaneous identification of parameters and initial datum of reaction diffusion system by optimization method, Numerical simulation for an inverse source problem in a degenerate parabolic equation, The homotopy method for identifying the radiative source term in the heat conduction problem, Two-dimensional parabolic inverse source problem with final overdetermination in reproducing kernel space, An inverse problem of determining the shape of rotating body by temperature measurements, Computational identification of the lowest space-wise dependent coefficient of a parabolic equation, Simultaneous reconstruction of the perfusion coefficient and initial temperature from time-average integral temperature measurements, Identifying the radiative coefficient of heat conduction equations from discrete measurement data, Simultaneous reconstruction of space-dependent heat transfer coefficients and initial temperature, Ritz–Galerkin method for solving an inverse problem of parabolic equation with moving boundaries and integral condition, Parameter identification by optimization method for a pollution problem in porous media, Simultaneous identification and reconstruction of the space-dependent reaction coefficient and source term, Numerical Study of Inverse Source Problem for Internal Degenerate Parabolic Equation, Identification of space distributed coefficients in an indirectly transmitted diseases model, An inverse volatility problem of financial products linked with gold price, A total variation regularization method for an inverse problem of recovering an unknown diffusion coefficient in a parabolic equation, Identifying the radiative coefficient of an evolutional type heat conduction equation by optimization method, An inverse problem of identifying the coefficient in a nonlinear parabolic equation, Multi-parameters identification problem for a degenerate parabolic equation, Recovery of a potential coefficient in a pseudoparabolic system from nonlocal observation
Cites Work
- Unnamed Item
- Unnamed Item
- The boundary value problems of mathematical physics. Transl. from the Russian by Jack Lohwater
- Identifying the volatility of underlying assets from option prices
- Inverse parabolic problems with the final overdetermination
- Identification of Discontinuous Parameters in Flow Equations
- Identification of Parameters in Distributed Parameter Systems by Regularization
- Numerical identifications of parameters in parabolic systems
- A new well-posed algorithm to recover implied local volatility
- Generic well-posedness of an inverse parabolic problem - the Hölder-space approach
- Inverse problems for partial differential equations
