Title

Non-linear unsteady inverse boundary problem for heat conduction equation

Journal title

Archives of Thermodynamics

Yearbook

2017

Issue

No 2

Authors

Joachimiak, Magda ; Ciałkowski, Michał

Keywords

inverse problem ; sensitivity of solution to inverse problem ; application of Chebyshev polynomials

Divisions of PAS

Nauki Techniczne

Coverage

81-100

Publisher

The Committee of Thermodynamics and Combustion of the Polish Academy of Sciences and The Institute of Fluid-Flow Machinery Polish Academy of Sciences

Date

2017

Type

Artykuły / Articles

Identifier

DOI: 10.1515/aoter-2017-0011

Source

Archives of Thermodynamics; 2017; No 2; 81-100

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.

Editorial Board

International Advisory Board

J. Bataille, Ecole Central de Lyon, Ecully, France

A. Bejan, Duke University, Durham, USA

W. Blasiak, Royal Institute of Technology, Stockholm, Sweden

G. P. Celata, ENEA, Rome, Italy

L.M. Cheng, Zhejiang University, Hangzhou, China

M. Colaco, Federal University of Rio de Janeiro, Brazil

J. M. Delhaye, CEA, Grenoble, France

M. Giot, Université Catholique de Louvain, Belgium

K. Hooman, University of Queensland, Australia

D. Jackson, University of Manchester, UK

D.F. Li, Kunming University of Science and Technology, Kunming, China

K. Kuwagi, Okayama University of Science, Japan

J. P. Meyer, University of Pretoria, South Africa

S. Michaelides, Texas Christian University, Fort Worth Texas, USA

M. Moran, Ohio State University, Columbus, USA

W. Muschik, Technische Universität Berlin, Germany

I. Müller, Technische Universität Berlin, Germany

H. Nakayama, Japanese Atomic Energy Agency, Japan

A. Nenarokomov, Moscow Aviation Institute, Russia

S. Nizetic, University of Split, Croatia

H. Orlande, Federal University of Rio de Janeiro, Brazil

M. Podowski, Rensselaer Polytechnic Institute, Troy, USA

A. Rusanov, Institute for Mechanical Engineering Problems NAS, Kharkiv, Ukraine

M. R. von Spakovsky, Virginia Polytechnic Institute and State University, Blacksburg, USA

A. Vallati, Sapienza University of Rome, Italy

H.R. Yang, Tsinghua University, Beijing, China