The method of fundamental solutions for inverse boundary value problems associated with the steady-state heat conduction in anisotropic media

Bangti Jin; Yao Zheng; Liviu Marin

doi:10.1002/nme.1526

The method of fundamental solutions for inverse boundary value problems associated with the steady-state heat conduction in anisotropic media

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.1526 ◽

2006 ◽

Vol 65 (11) ◽

pp. 1865-1891 ◽

Cited By ~ 20

Author(s):

Bangti Jin ◽

Yao Zheng ◽

Liviu Marin

Keyword(s):

Heat Conduction ◽

Steady State ◽

Boundary Value Problems ◽

Boundary Value ◽

Anisotropic Media ◽

Fundamental Solutions ◽

Method Of Fundamental Solutions ◽

Inverse Boundary ◽

Steady State Heat ◽

Inverse Boundary Value Problems

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The method of fundamental solutions for inverse boundary value problems associated with the two-dimensional biharmonic equation

Mathematical and Computer Modelling ◽

10.1016/j.mcm.2005.04.004 ◽

2005 ◽

Vol 42 (3-4) ◽

pp. 261-278 ◽

Cited By ~ 50

Author(s):

L. Marin ◽

D. Lesnic

Keyword(s):

Boundary Value Problems ◽

Biharmonic Equation ◽

Boundary Value ◽

Fundamental Solutions ◽

Method Of Fundamental Solutions ◽

Two Dimensional ◽

Inverse Boundary ◽

Inverse Boundary Value Problems

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A finite-difference method for solving inverse boundary-value problems of heat conduction

Journal of Engineering Physics ◽

10.1007/bf00865794 ◽

1977 ◽

Vol 32 (3) ◽

pp. 315-318

Author(s):

N. I. Nikitenko

Keyword(s):

Heat Conduction ◽

Finite Difference ◽

Finite Difference Method ◽

Boundary Value Problems ◽

Difference Method ◽

Boundary Value ◽

Inverse Boundary ◽

Inverse Boundary Value Problems

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Modified method of fundamental solutions for steady state heat conduction equation in anisotropic medium

International Journal for Computational Methods in Engineering Science and Mechanics ◽

10.1080/15502287.2021.1889714 ◽

2021 ◽

pp. 1-19

Author(s):

Surbhi Arora ◽

Jaydev Dabas

Keyword(s):

Heat Conduction ◽

Steady State ◽

Anisotropic Medium ◽

Heat Conduction Equation ◽

Fundamental Solutions ◽

Conduction Equation ◽

Method Of Fundamental Solutions ◽

State Heat ◽

Modified Method ◽

Steady State Heat

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The method of fundamental solutions for inverse source problems associated with the steady-state heat conduction

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.1826 ◽

2007 ◽

Vol 69 (8) ◽

pp. 1570-1589 ◽

Cited By ~ 55

Author(s):

Bangti Jin ◽

Liviu Marin

Keyword(s):

Heat Conduction ◽

Steady State ◽

Fundamental Solutions ◽

Method Of Fundamental Solutions ◽

State Heat ◽

Inverse Source Problems ◽

Steady State Heat

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Inverse boundary-value problems of heat conduction

Journal of Engineering Physics ◽

10.1007/bf00860617 ◽

1975 ◽

Vol 29 (1) ◽

pp. 821-830 ◽

Cited By ~ 9

Author(s):

O. M. Alifanov

Keyword(s):

Heat Conduction ◽

Boundary Value Problems ◽

Boundary Value ◽

Inverse Boundary ◽

Inverse Boundary Value Problems

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A numerical study of the SVD-MFS solution of inverse boundary value problems in two-dimensional steady-state linear thermoelasticity

Numerical Methods for Partial Differential Equations ◽

10.1002/num.21898 ◽

2014 ◽

Vol 31 (1) ◽

pp. 168-201 ◽

Cited By ~ 9

Author(s):

Liviu Marin ◽

Andreas Karageorghis ◽

Daniel Lesnic

Keyword(s):

Steady State ◽

Boundary Value Problems ◽

Numerical Study ◽

Boundary Value ◽

Two Dimensional ◽

Inverse Boundary ◽

Linear Thermoelasticity ◽

Inverse Boundary Value Problems

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Continuous dependence of solutions of inverse boundary value problems in one-dimensional heat conduction

Proyecciones (Antofagasta) ◽

10.22199/s07160917.1992.0002.00005 ◽

1992 ◽

Vol 11 (2) ◽

pp. 131-142

Author(s):

Wojciech L. Golik

Keyword(s):

Heat Conduction ◽

Boundary Value Problems ◽

Continuous Dependence ◽

Boundary Value ◽

Inverse Boundary ◽

One Dimensional ◽

Inverse Boundary Value Problems ◽

Continuous Dependence Of Solutions

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Regularized MFS solution of inverse boundary value problems in three-dimensional steady-state linear thermoelasticity

International Journal of Solids and Structures ◽

10.1016/j.ijsolstr.2016.03.013 ◽

2016 ◽

Vol 91 ◽

pp. 127-142 ◽

Cited By ~ 14

Author(s):

Liviu Marin ◽

Andreas Karageorghis ◽

Daniel Lesnic

Keyword(s):

Steady State ◽

Boundary Value Problems ◽

Boundary Value ◽

Three Dimensional ◽

Inverse Boundary ◽

Linear Thermoelasticity ◽

Inverse Boundary Value Problems

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An Iterative Regularization Method for a Class of Inverse Boundary Value Problems of Elliptic Type

Zurnal matematiceskoj fiziki analiza geometrii ◽

10.15407/mag16.01.066 ◽

2020 ◽

Vol 16 (1) ◽

pp. 66-85

Author(s):

Fairouz Zouyed ◽

Keyword(s):

Boundary Value Problems ◽

Regularization Method ◽

Boundary Value ◽

Elliptic Type ◽

Iterative Regularization ◽

Inverse Boundary ◽

Inverse Boundary Value Problems

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Inverse spectral problems on hyperbolic manifolds and their applications to inverse boundary value problems in Euclidean space

American Journal of Mathematics ◽

10.1353/ajm.2004.0047 ◽

2004 ◽

Vol 126 (6) ◽

pp. 1261-1313 ◽

Cited By ~ 12

Author(s):

Hiroshi Isozaki

Keyword(s):

Euclidean Space ◽

Boundary Value Problems ◽

Boundary Value ◽

Hyperbolic Manifolds ◽

Inverse Spectral Problems ◽

Inverse Boundary ◽

Spectral Problems ◽

Inverse Spectral ◽

Inverse Boundary Value Problems

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