A simplified Tikhonov regularization method for determining the heat source
From MaRDI portal
Publication:611571
DOI10.1016/j.apm.2010.02.020zbMath1201.65177OpenAlexW2075210326MaRDI QIDQ611571
Publication date: 14 December 2010
Published in: Applied Mathematical Modelling (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apm.2010.02.020
Inverse problems for PDEs (35R30) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32)
Related Items
Landweber iterative regularization method for identifying the unknown source of the modified Helmholtz equation, The simplified Tikhonov regularization method for solving a Riesz-Feller space-fractional backward diffusion problem, A posteriori truncated regularization method for identifying unknown heat source on a spherical symmetric domain, A regularized optimization method for identifying the space-dependent source and the initial value simultaneously in a parabolic equation, Landweber iterative method for identifying a space-dependent source for the time-fractional diffusion equation, Bayesian inversion techniques for stochastic partial differential equations, A mollification regularization method for identifying the time-dependent heat source problem, A non-iterative method for recovering the space-dependent source and the initial value simultaneously in a parabolic equation, The modified regularization method for identifying the unknown source on Poisson equation, Fast matrix exponential-based quasi-boundary value methods for inverse space-dependent source problems, An inverse time-dependent source problem for the heat equation, On the determination of the right-hand side in a parabolic equation, A revised Tikhonov regularization method for a Cauchy problem of two-dimensional heat conduction equation, The truncation method for identifying the heat source dependent on a spatial variable, Optimal error bound and simplified Tikhonov regularization method for a backward problem for the time-fractional diffusion equation, Conditional Stability Estimates for Ill-Posed PDE Problems by Using Interpolation, Generalized Tikhonov methods for an inverse source problem of the time-fractional diffusion equation, The method of simplified Tikhonov regularization for a time-fractional inverse diffusion problem, Identification of the pollution source of a parabolic equation with the time-dependent heat conduction, Quasi-boundary value methods for regularizing the backward parabolic equation under the optimal control framework, Cauchy problem of non-homogenous stochastic heat equation and application to inverse random source problem, Determination of an unknown time-dependent heat source from a nonlocal measurement by finite difference method, IDENTIFICATION OF THE SOURCE FOR FULL PARABOLIC EQUATIONS, Landweber iteration regularization method for identifying unknown source on a columnar symmetric domain, Multivariate numerical derivative by solving an inverse heat source problem, On an inverse problem in the parabolic equation arising from groundwater pollution problem, A direct parallel-in-time quasi-boundary value method for inverse space-dependent source problems
Cites Work
- The method of fundamental solutions for the inverse heat source problem
- Simplified Tikhonov and Fourier regularization methods on a general sideways parabolic equation
- A meshless method for solving an inverse spacewise-dependent heat source problem
- Conditional stability in determination of force terms of heat equations in a rectangle
- Identification of source terms in 2-D IHCP
- Source term identification in 1-D IHCP
- A modified Tikhonov regularization method for a spherically symmetric three-dimensional inverse heat conduction problem
- Two regularization methods for a spherically symmetric inverse heat conduction problem
- Determination of a spacewise dependent heat source
- Data compatibility and conditional stability for an inverse source problem in the heat equation
- Determination of a two-dimensional heat source: uniqueness, regularization and error estimate
- The boundary-element method for the determination of a heat source dependent on one variable
- Nonhomogeneous heat equation: identification and regularization for the inhomogeneous term
- A computational method for identifying a spacewise-dependent heat source
- Determining magnitude of groundwater pollution sources by data compatibility analysis
- Determining Surface Temperatures from Interior Observations
- Structural identification of an unknown source term in a heat equation
- On problems of determining the source function in a parabolic equation
- Numerical solution of the inverse problem of determining an unknown source term in a heat equation
- An introduction to the mathematical theory of inverse problems
- Unnamed Item
- Unnamed Item
- Unnamed Item