Solving Inverse Heat Conduction Problems by Means of Numerical Methods

Efficient Numerical Solution of Inverse Heat Conduction Problems

Volume 3C: 15th Biennial Conference on Mechanical Vibration and Noise — Vibration Control, Analysis, and Identification ◽

10.1115/detc1995-0659 ◽

1995 ◽

Author(s):

Hans-Jürgen Reinhardt ◽

Dinh Nho Hao

Keyword(s):

Heat Flux ◽

Heat Conduction ◽

Numerical Methods ◽

Stationary Point ◽

Forthcoming Paper ◽

Inverse Heat Conduction ◽

Piecewise Constant ◽

Numerical Tests ◽

Inverse Heat Conduction Problems ◽

Special Case

Abstract In this contribution we propose new numerical methods for solving inverse heat conduction problems. The methods are constructed by considering the desired heat flux at the boundary as piecewise constant (in time) and then deriving an explicit expression for the solution of the equation for a stationary point of the minimizing functional. In a very special case the well-known Beck method is obtained. For the time being, numerical tests could not be included in this contribution but will be presented in a forthcoming paper.

Solution of Boundary Inverse Heat Conduction Problems by Direct Numerical Methods

Inverse Heat Transfer Problems - International Series in Heat and Mass Transfer ◽

10.1007/978-3-642-76436-3_6 ◽

1994 ◽

pp. 124-149

Author(s):

Oleg M. Alifanov

Keyword(s):

Heat Conduction ◽

Numerical Methods ◽

Inverse Heat Conduction ◽

Inverse Heat Conduction Problems

On the Accuracy of Numerical Methods for Solving the Volterra Equations of the Kind in the Inverse Heat Conduction Problems

Bulletin of the South Ural State University Ser Computer Technologies Automatic Control & Radioelectronics ◽

10.14529/ctcr190102 ◽

2019 ◽

Vol 19 (1) ◽

pp. 20-29

Author(s):

N.M. Yaparova ◽

S.V. Solodusha

Keyword(s):

Heat Conduction ◽

Numerical Methods ◽

Volterra Equations ◽

Inverse Heat Conduction ◽

Inverse Heat Conduction Problems

Models and Methods of Semi-Infinite Optimization Inverse Heat-Conduction Problems

Heat Transfer Research ◽

10.1615/heattransres.v37.i3.40 ◽

2006 ◽

Vol 37 (3) ◽

pp. 221-232 ◽

Cited By ~ 5

Author(s):

E. Ya. Rapoport ◽

Yu. E. Pleshivtseva

Keyword(s):

Heat Conduction ◽

Inverse Heat Conduction ◽

Inverse Heat Conduction Problems

A Modified Sequential Particle Swarm Optimization Algorithm with Future Time Data for Solving Transient Inverse Heat Conduction Problems

Numerical Heat Transfer Part A Applications ◽

10.1080/10407782.2011.582421 ◽

2011 ◽

Vol 59 (12) ◽

pp. 911-933 ◽

Cited By ~ 18

Author(s):

S. Vakili ◽

M. S. Gadala

Keyword(s):

Particle Swarm Optimization ◽

Heat Conduction ◽

Optimization Algorithm ◽

Particle Swarm Optimization Algorithm ◽

Particle Swarm ◽

Inverse Heat Conduction ◽

Time Data ◽

Future Time ◽

Swarm Optimization ◽

Inverse Heat Conduction Problems

Application of Artificial Neural Network as a Near-Real Time Technique for Solving Non-Linear Inverse Heat Conduction Problems in a One-Dimensional Medium With Moving Boundary

10.1115/1.0001545v ◽

2021 ◽

Author(s):

Jian Zhang ◽

Obinna Uyanna ◽

Hamidreza Najafi

Keyword(s):

Neural Network ◽

Artificial Neural Network ◽

Heat Conduction ◽

Real Time ◽

Moving Boundary ◽

Inverse Heat Conduction ◽

One Dimensional ◽

Non Linear ◽

Artificial Neural ◽

Inverse Heat Conduction Problems

An observer-based solution of inverse heat conduction problems

International Journal of Heat and Mass Transfer ◽

10.1016/0017-9310(90)90050-5 ◽

1990 ◽

Vol 33 (7) ◽

pp. 1545-1562 ◽

Cited By ~ 19

Author(s):

Wolfgang Marquardt ◽

Hein Auracher

Keyword(s):

Heat Conduction ◽

Inverse Heat Conduction ◽

Inverse Heat Conduction Problems

A weighted algorithm based on the homotopy analysis method: Application to inverse heat conduction problems

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/j.cnsns.2009.11.011 ◽

2010 ◽

Vol 15 (10) ◽

pp. 2908-2915 ◽

Cited By ~ 15

Author(s):

A. Shidfar ◽

A. Molabahrami

Keyword(s):

Heat Conduction ◽

Homotopy Analysis Method ◽

Inverse Heat Conduction ◽

Analysis Method ◽

Weighted Algorithm ◽

Homotopy Analysis ◽

Inverse Heat Conduction Problems

DIRECT SENSITIVITY COEFFICIENT METHOD FOR SOLVING TWO-DIMENSIONAL INVERSE HEAT CONDUCTION PROBLEMS BY FINITE-ELEMENT SCHEME

Numerical Heat Transfer Part B Fundamentals ◽

10.1080/10407799508914958 ◽

1995 ◽

Vol 27 (3) ◽

pp. 291-307 ◽

Cited By ~ 24

Author(s):

A. A. Tseng ◽

T. C. Chen ◽

F. Z. Zhao

Keyword(s):

Finite Element ◽

Heat Conduction ◽

Sensitivity Coefficient ◽

Two Dimensional ◽

Inverse Heat Conduction ◽

Finite Element Scheme ◽

Element Scheme ◽

Direct Sensitivity ◽

Inverse Heat Conduction Problems ◽

Coefficient Method

Estimation of two-sided boundary conditions for two-dimensional inverse heat conduction problems

International Journal of Heat and Mass Transfer ◽

10.1016/s0017-9310(01)00138-7 ◽

2002 ◽

Vol 45 (1) ◽

pp. 15-23 ◽

Cited By ~ 24

Author(s):

Han-Taw Chen ◽

Sheng-Yih Lin ◽

Hung-Ru Wang ◽

Lih-Chuan Fang

Keyword(s):

Heat Conduction ◽

Boundary Conditions ◽

Two Dimensional ◽

Inverse Heat Conduction ◽

Inverse Heat Conduction Problems