Numerical Method for Solving an Inverse Boundary Problem with Unknown Initial Conditions for Parabolic PDE Using Discrete Regularization
DOI10.1007/978-3-319-57099-0_87zbMath1368.65178OpenAlexW2606801328MaRDI QIDQ5275034
Publication date: 7 July 2017
Published in: Lecture Notes in Computer Science (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-319-57099-0_87
inverse problemnumerical examplesconditional stabilityfinite difference schemeregularization methodheat conduction problemcomputational scheme
Initial-boundary value problems for second-order parabolic equations (35K20) Inverse problems for PDEs (35R30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32)
Cites Work
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- Local convergence of the Lavrentiev method for the Cauchy problem via a Carleman inequality
- Study of the convergence of the finite-element method for parabolic equations with a nonlinear nonlocal spatial operator
- Inverse and ill-posed problems. Theory and applications.
- Numerical methods for solving inverse problems of mathematical physics.
- Iterative methods for solving a nonlinear boundary inverse problem in glaciology
- New approaches to error estimation to ill-posed problems with applications to inverse problems of heat conductivity
- A boundary element method for a multi-dimensional inverse heat conduction problem
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