A Lipschitz stability estimate for the inverse source problem and the numerical scheme
From MaRDI portal
Publication:310431
DOI10.1155/2016/9504829zbMath1416.65313OpenAlexW2503002224WikidataQ59122595 ScholiaQ59122595MaRDI QIDQ310431
Publication date: 8 September 2016
Published in: Advances in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2016/9504829
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
- Unnamed Item
- Unnamed Item
- The method of fundamental solutions for the inverse heat source problem
- Application of the method of fundamental solutions and radial basis functions for inverse transient heat source problem
- A meshless method for solving an inverse spacewise-dependent heat source problem
- Combinations of the method of fundamental solutions for general inverse source identification problems
- Determination of a spacewise dependent heat source
- 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
- The method of fundamental solutions for the inverse space-dependent heat source problem
- Methods of fundamental solutions for time-dependent heat conduction problems
- The method of fundamental solutions for inverse source problems associated with the steady-state heat conduction
- Structural identification of an unknown source term in a heat equation
- On problems of determining the source function in a parabolic equation
- A variational method for identifying a spacewise-dependent heat source
- A procedure for determining a spacewise dependent heat source and the initial temperature
This page was built for publication: A Lipschitz stability estimate for the inverse source problem and the numerical scheme