Identification of a time dependent source function in a parabolic inverse problem via finite element approach
DOI10.1007/s13226-020-0483-8OpenAlexW3118315544MaRDI QIDQ828938
A. Janmohammadi, T. R. Shamami, J. Damirchi, Reza Pourgholi, Hamed Zeidabadi
Publication date: 5 May 2021
Published in: Indian Journal of Pure \& Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s13226-020-0483-8
finite element methodill-posed operator equationregularization parameterinverse source problemTikhonov regularization method
Heat equation (35K05) Inverse problems for PDEs (35R30) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Linear operators and ill-posed problems, regularization (47A52)
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Cites Work
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- Existence, uniqueness and stability of minimizers of generalized Tikhonov-Phillips functionals
- Removal of numerical instability in the solution of an inverse heat conduction problem
- An iterative procedure for determining an unknown spacewise-dependent coefficient in a parabolic equation
- Simultaneous determination of source terms in a linear parabolic problem from the final overdetermination: weak solution approach
- An inverse problem of finding a source parameter in a semilinear parabolic equation
- Solving an inverse heat conduction problem using genetic algorithm: sequential and multi-core parallelization approach
- Determination of a spacewise dependent heat source
- A fundamental solution method for inverse heat conduction problem
- Parameter determination in a partial differential equation from the overspecified data
- The boundary-element method for the determination of a heat source dependent on one variable
- An inverse heat conduction problem with a nonlinear source term
- Applications of cubic B-splines collocation method for solving nonlinear inverse parabolic partial differential equations
- Determination of a source term in a heat equation
- Identifying an unknown source term in a heat equation
- Determination of a control parameter in a parabolic partial differential equation
- A procedure for determining a spacewise dependent heat source and the initial temperature
- Determination of an Unknown Heat Source from Overspecified Boundary Data
- Cubic B-spline method for the solution of an inverse parabolic system
- Inverse problems for partial differential equations
- An inverse problem for the heat equation
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