The method of fundamental solutions for the inverse heat source problem
From MaRDI portal
Publication:443234
DOI10.1016/j.enganabound.2007.08.002zbMath1244.80026OpenAlexW2014896403MaRDI QIDQ443234
Feng-Lian Yang, Liang Yan, Chu-Li Fu
Publication date: 7 August 2012
Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.enganabound.2007.08.002
Inverse problems in thermodynamics and heat transfer (80A23) Fundamental solutions, Green's function methods, etc. for initial value and initial-boundary value problems involving PDEs (65M80)
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Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- The method of fundamental solutions for the Cauchy problem in two-dimensional linear elasticity
- The method of fundamental solutions for inverse boundary value problems associated with the two-dimensional biharmonic equation
- The method of fundamental solutions for elliptic boundary value problems
- Regularization tools: A Matlab package for analysis and solution of discrete ill-posed problems
- Source term identification in 1-D IHCP
- The method of fundamental solutions for the numerical solution of the biharmonic equation
- A meshless method for some inverse problems associated with the Helmholtz equation
- A fundamental solution method for inverse heat conduction problem
- The boundary-element method for the determination of a heat source dependent on one variable
- On the simulation source technique for exterior problems in acoustics
- The method of fundamental solutions for the backward heat conduction problem
- The Approximate Solution of Elliptic Boundary-Value Problems by Fundamental Solutions
- Structural identification of an unknown source term in a heat equation
- On problems of determining the source function in a parabolic equation
- The method of fundamental solutions for non‐linear thermal explosions
- Identification of source locations in two-dimensional heat equations
- The method of functional equations for the approximate solution of certain boundary value problems
- Determination of an Unknown Heat Source from Overspecified Boundary Data
