A meshless method for an inverse two-phase one-dimensional linear Stefan problem
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Publication:5300375
DOI10.1080/17415977.2012.665906zbMath1267.80011OpenAlexW1968751255MaRDI QIDQ5300375
B. Tomas Johansson, Thomas Reeve, Daniel Lesnic
Publication date: 27 June 2013
Published in: Inverse Problems in Science and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/17415977.2012.665906
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Cites Work
- A method of fundamental solutions for transient heat conduction in layered materials
- A method of fundamental solutions for transient heat conduction
- The method of fundamental solutions for free surface Stefan problems
- A method of fundamental solutions for the one-dimensional inverse Stefan problem
- Some comments on the ill-conditioning of the method of fundamental solutions
- Properties of solutions of the inverse Stefan problem
- A method for the numerical solution of the one-dimensional inverse Stefan problem
- The classical solution of the one-dimensional two-phase Stefan problem with energy specification
- Solution of inverse heat conduction problems with phase changes by the mollification method
- Classical solutions of the one-dimensional, two-phase Stefan problem
- The numerical solution of the inverse Stefan problem
- Application of the boundary element method to inverse heat conduction problems
- An inverse Stefan problem: Identification of boundary value
- Reconstruction of time-dependent boundary heat flux by a BEM-based inverse algorithm
- One-phase inverse Stefan problem solved by Adomian decomposition method
- Time-dependent fundamental solutions for homogeneous diffusion problems
- A two phase Stefan problem with temperature boundary conditions
- A two phase Stefan problem with flux boundary conditions
- A two phase Stefan problem: regularity of the free boundary
- Numerical approximation of the one-dimensional inverse Cauchy–Stefan problem using a method of fundamental solutions
- Methods of fundamental solutions for time-dependent heat conduction problems
- The Numerical Solution of the Inverse Stefan Problem in Two Space Variables
- The optimal stability estimate for some ill-posed Cauchy problems for a parabolic equation
- The Stefan Problem: Comments on its Present State
- Analysis of Discrete Ill-Posed Problems by Means of the L-Curve
- Regularization of an inverse two-phase Stefan problem
- Method of fundamental solutions: singular value decomposition analysis
- A procedure for determining a spacewise dependent heat source and the initial temperature
- Parabolic equations in one space variable and the non‐characteristic cauchy problem
- The Cauchy Problem for the Heat Equation
- Solving the inverse Stefan design problem using genetic algorithms