Stability and regularization of a backward parabolic PDE with variable coefficients
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Publication:2874441
DOI10.1515/jiip.2010.008zbMath1279.80002OpenAlexW2097578337MaRDI QIDQ2874441
Chu-Li Fu, Xiao-Li Feng, Lars Eldén
Publication date: 30 January 2014
Published in: jiip (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/jiip.2010.008
Ill-posed problems for PDEs (35R25) Parabolic equations and parabolic systems (35K99) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) Inverse problems in thermodynamics and heat transfer (80A23)
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Cites Work
- A modified method for high order numerical derivatives
- Numerical approximation of solution of nonhomogeneous backward heat conduction problem in bounded region
- A meshless method for solving an inverse spacewise-dependent heat source problem
- Numerical solution of forward and backward problem for 2-D heat conduction equation
- A stable numerical algorithm for identifying the solution of an inverse problem
- A Well Posed Problem for the Backward Heat Equation
- A comparison of regularizations for an ill-posed problem
- Lipschitz stability in inverse parabolic problems by the Carleman estimate
- A Kernel-based Method for the Approximate Solution of Backward Parabolic Problems
- One new strategy for a priori choice of regularizing parameters in Tikhonov's regularization
- A New Numerical Method for Backward Parabolic Problems in the Maximum-Norm Setting
- Regularization strategies for a two-dimensional inverse heat conduction problem
- On a Priori Bounds in the Cauchy Problem for Elliptic Equations
- A stability estimate for a Cauchy problem for an elliptic partial differential equation