scholarly journals Mathematical Modeling and Experimental Study of Inverse Heat Conduction Problems of Heavy Plate Laminar Cooling Process

2017 ◽  
Author(s):  
Wen-hong LIU ◽  
Jun-lin WANG ◽  
Jian YANG
Keyword(s):  
Mathematical Modeling ◽  
Experimental Study ◽  
Heat Conduction ◽  
Inverse Heat Conduction ◽  
Laminar Cooling ◽  
Cooling Process ◽  
Heavy Plate ◽  
Inverse Heat Conduction Problems

Efficient Numerical Solution of Inverse Heat Conduction Problems

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.

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