Details

Title

Non-linear unsteady inverse boundary problem for heat conduction equation

Journal title

Archives of Thermodynamics

Yearbook

2017

Numer

No 2

Publication authors

Divisions of PAS

Nauki Techniczne

Publisher

The Committee on Thermodynamics and Combustion of the Polish Academy of Sciences

Date

2017

Identifier

ISSN 1231-0956 ; eISSN 2083-6023

References

Ciałkowski (2010), A sequential and global method of solving an inverse problem of heat conduction equation, Mech Pol, 48, 111. ; Marois (2012), What is the most suitable fixed grid solidification method for handling time - varying inverse Stefan problems in high temperature industrial furnaces Heat Mass Trans, Int J, 55, 5471. ; Frąckowiak (2010), A fitting algorithm for solving inverse problems of heat conduction Heat Mass Trans, Int J, 53, 2123. ; Han (2008), Investigation of heat transfer coefficient in two - dimensional transient inverse heat conduction problems using the hybrid inverse scheme, Int J Numer Meth Engng, 1, 107. ; Duda (2000), Numerical method for the solution of non - linear two - dimen - sional inverse heat conduction problem using unstructured meshes, Int J Numer Meth Engng, 48, 881. ; Maciąg (2009), Trefftz functions for selected direct and inverse problems of mechanics Świętokrzyska Publishers in Polish, Polit. ; Trefftz (1926), Ein Gegenstük zum Ritz schenVerfahren nd of Applied Mechanics, Proc Int Cong, 131. ; Vakili (2013), Low cost surrogate model based evolutionary optimization solvers for inverse heat conduction problem Heat Mass Trans, Int J, 56, 263. ; Mierzwiczak (2011), The determination temperature - dependent thermal conductivity as inverse steady heat conduction problem Heat Mass Trans, Int J, 4, 790. ; Mierzwiczak (2011), The determination of heat sources in two dimensional inverse steady heat problems by means of the method of fundamental solutions Inverse Prob, Sci En, 19, 777. ; Joachimiak (2014), Optimal choice of integral parameter in a process of solving the inverse problem for heat equation, Arch Thermodyn, 35, 265. ; Mierzwiczak (2012), Application of the method of fundamental solu - tions with the Laplace transformation for the inverse transient heat source problem, Mech Pol, 4, 1011. ; Ciałkowski (1980), On a certain inverse problem of temperature and thermal stress fields, Acta Mechanica, 4169. ; Frąckowiak (2011), Solution of the inverse heat conduction problem described by the Poisson equation for a cooled gas - turbine blade Mass Trans, Int J Heat, 54, 1236. ; Grysa (2012), Solving nonlinear direct and inverse prob - lems of stationary heat transfer by using Trefftz functions Heat Mass Trans, Int J, 55, 7336. ; Taler (1999), Solution of inverse heat conduction problems using control volume approach Heat Mass Trans, Int J, 1123.

DOI

10.1515/aoter-2017-0011

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