Unique solvability of an inverse problem for the stationary heat conduction equation

A. M. Denisov; S. I. Solov'eva

doi:10.1007/bf01130281

Unique solvability of an inverse problem for the stationary heat conduction equation

Computational Mathematics and Modeling ◽

10.1007/bf01130281 ◽

1994 ◽

Vol 5 (2) ◽

pp. 162-164

Author(s):

A. M. Denisov ◽

S. I. Solov'eva

Keyword(s):

Inverse Problem ◽

Heat Conduction ◽

Unique Solvability ◽

Heat Conduction Equation ◽

Conduction Equation ◽

Stationary Heat ◽

Stationary Heat Conduction

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Error estimation for approximations of the solution of the one-dimensional stationary heat conduction equation on the basis of the governing principle of dissipative processes

International Journal of Engineering Science ◽

10.1016/0020-7225(75)90043-9 ◽

1975 ◽

Vol 13 (12) ◽

pp. 1029-1033 ◽

Cited By ~ 6

Author(s):

H. Farkas

Keyword(s):

Heat Conduction ◽

Error Estimation ◽

Heat Conduction Equation ◽

Conduction Equation ◽

One Dimensional ◽

Stationary Heat ◽

Dissipative Processes ◽

Governing Principle ◽

Stationary Heat Conduction ◽

The One

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Finite element solution of a stationary heat conduction equation with the radiation boundary condition

Applications of Mathematics ◽

10.21136/am.1993.104535 ◽

1993 ◽

Vol 38 (1) ◽

pp. 67-79

Author(s):

Zdeněk Milka

Keyword(s):

Boundary Condition ◽

Finite Element ◽

Heat Conduction ◽

Heat Conduction Equation ◽

Conduction Equation ◽

Element Solution ◽

Radiation Boundary Condition ◽

Stationary Heat ◽

Stationary Heat Conduction ◽

Radiation Boundary

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Numerical method for analyzing a stochastic stationary heat-conduction equation with random coefficients

Journal of Engineering Physics and Thermophysics ◽

10.1007/bf00851893 ◽

1992 ◽

Vol 62 (6) ◽

pp. 643-649 ◽

Cited By ~ 1

Author(s):

A. G. Madera

Keyword(s):

Heat Conduction ◽

Numerical Method ◽

Heat Conduction Equation ◽

Random Coefficients ◽

Conduction Equation ◽

Stationary Heat ◽

Stationary Heat Conduction

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Solution of Cauchy problem to stationary heat conduction equation by modified method of elementary balances with interpolation of the solution in physical plane

Inverse Problems in Science and Engineering ◽

10.1080/17415971003606469 ◽

2010 ◽

Vol 18 (3) ◽

pp. 341-360

Author(s):

Agnieszka Wróblewska ◽

Andrzej Frąckowiak ◽

Michał Ciałkowski ◽

Jan Kołodziej

Keyword(s):

Cauchy Problem ◽

Heat Conduction ◽

Heat Conduction Equation ◽

Conduction Equation ◽

Physical Plane ◽

Stationary Heat ◽

Modified Method ◽

Stationary Heat Conduction

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An Inverse Problem for the Heat Conduction Equation, III

Mathematische Nachrichten ◽

10.1002/mana.19821080106 ◽

1982 ◽

Vol 108 (1) ◽

pp. 73-78

Author(s):

Gottfried Anger ◽

Regine Czerner

Keyword(s):

Inverse Problem ◽

Heat Conduction ◽

Heat Conduction Equation ◽

Conduction Equation

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On the stochastic inverse problem for the heat conduction equation

Reports on Mathematical Physics ◽

10.1016/0034-4877(88)90027-4 ◽

1988 ◽

Vol 26 (2) ◽

pp. 245-259 ◽

Cited By ~ 1

Author(s):

P. Kazimierczyk

Keyword(s):

Inverse Problem ◽

Heat Conduction ◽

Heat Conduction Equation ◽

Conduction Equation

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Investigation of laminar flow through solution of inverse problem for heat conduction equation

Mechanics Research Communications ◽

10.1016/s0093-6413(02)00214-8 ◽

2001 ◽

Vol 28 (6) ◽

pp. 623-628

Author(s):

M. Ciałkowski ◽

A. Frąckowiak ◽

J.A. Kolodziej

Keyword(s):

Inverse Problem ◽

Heat Conduction ◽

Laminar Flow ◽

Heat Conduction Equation ◽

Conduction Equation ◽

Flow Through

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Solution of the nonlinear inverse problem for a generalized heat-conduction equation in a region with moving boundaries

Journal of Engineering Physics ◽

10.1007/bf00860642 ◽

1975 ◽

Vol 29 (1) ◽

pp. 928-933 ◽

Cited By ~ 3

Author(s):

O. M. Alifanov ◽

E. A. Artyukhin ◽

B. M. Pankratov

Keyword(s):

Inverse Problem ◽

Heat Conduction ◽

Heat Conduction Equation ◽

Moving Boundaries ◽

Conduction Equation ◽

Nonlinear Inverse Problem ◽

Generalized Heat Conduction

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Numerical Simulation of One Dimensional Heat Conduction Equation for Inverse Problem

Communications in Computer and Information Science - Information Computing and Applications ◽

10.1007/978-3-642-27503-6_9 ◽

2011 ◽

pp. 60-66

Author(s):

Dongmei Li ◽

Qiuna Zhang ◽

Yan Gao ◽

Rongcui Zheng

Keyword(s):

Numerical Simulation ◽

Inverse Problem ◽

Heat Conduction ◽

Heat Conduction Equation ◽

Conduction Equation ◽

One Dimensional

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Analytical-numerical solution of the inverse problem for the heat conduction equation

Journal of Mechanics of Materials and Structures ◽

10.2140/jomms.2012.7.239 ◽

2012 ◽

Vol 7 (3) ◽

pp. 239-253

Author(s):

Michał Ciałkowski ◽

Andrzej Maćkiewicz ◽

Jan Kołodziej ◽

Uwe Gampe ◽

Andrzej Frąckowiak

Keyword(s):

Inverse Problem ◽

Heat Conduction ◽

Numerical Solution ◽

Heat Conduction Equation ◽

Conduction Equation

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