The determination of heat sources in two dimensional inverse steady heat problems by means of the method of fundamental solutions

DOI10.1080/17415977.2010.539685zbMath1269.65117OpenAlexW1973692763MaRDI QIDQ3111162

Magdalena Mierzwiczak, Jan Adam Kołodziej

Publication date: 18 January 2012

Published in: Inverse Problems in Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17415977.2010.539685

zbMATH Keywords

radial basis functionsTikhonov regularizationmethod of fundamental solutionsL-curveinverse heat source problem

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) Fundamental solutions, Green's function methods, etc. for boundary value problems involving PDEs (65N80)

Related Items (6)

Heating source localization in a reduced time ⋮ Iterative algorithm for solving the inverse heat conduction problems with the unknown source function ⋮ The generalized finite difference method for an inverse time-dependent source problem associated with three-dimensional heat equation ⋮ Source recovery with a posteriori error estimates in linear partial differential equations ⋮ Inverse identification of time-harmonic loads acting on thin plates using approximated Green’s functions ⋮ Solutions of boundary detection problem for modified Helmholtz equation by Trefftz method

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