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

Liviu Marin; Andreas Karageorghis; Daniel Lesnic

doi:10.1002/num.21898

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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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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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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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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Fading regularization MFS algorithm for inverse boundary value problems in two-dimensional linear elasticity

International Journal of Solids and Structures ◽

10.1016/j.ijsolstr.2015.09.022 ◽

2016 ◽

Vol 78-79 ◽

pp. 9-20 ◽

Cited By ~ 6

Author(s):

Liviu Marin ◽

Franck Delvare ◽

Alain Cimetière

Keyword(s):

Boundary Value Problems ◽

Linear Elasticity ◽

Boundary Value ◽

Two Dimensional ◽

Inverse Boundary ◽

Inverse Boundary Value Problems

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Non-iterative regularized MFS solution of inverse boundary value problems in linear elasticity: A numerical study

Applied Mathematics and Computation ◽

10.1016/j.amc.2016.08.021 ◽

2017 ◽

Vol 293 ◽

pp. 265-286 ◽

Cited By ~ 1

Author(s):

Liviu Marin ◽

Corina Cipu

Keyword(s):

Boundary Value Problems ◽

Linear Elasticity ◽

Numerical Study ◽

Boundary Value ◽

Inverse Boundary ◽

Inverse Boundary Value Problems

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A Hybrid Method for Inverse Boundary Value Problems for an Inclusion in Semi-infinite Two-dimensional Domains

Journal of Integral Equations and Applications ◽

10.1216/jiea/1190905489 ◽

2007 ◽

Vol 19 (3) ◽

pp. 309-331 ◽

Cited By ~ 2

Author(s):

R. Chapko ◽

N. Vintonyak

Keyword(s):

Boundary Value Problems ◽

Hybrid Method ◽

Boundary Value ◽

Two Dimensional ◽

Inverse Boundary ◽

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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Inverse boundary-value problems: Elliptic equations

Journal of Mathematical Analysis and Applications ◽

10.1016/0022-247x(70)90185-x ◽

1970 ◽

Vol 30 (1) ◽

pp. 86-98 ◽

Cited By ~ 15

Author(s):

Edward Angel

Keyword(s):

Boundary Value Problems ◽

Elliptic Equations ◽

Boundary Value ◽

Inverse Boundary ◽

Inverse Boundary Value Problems

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Exact Reconstruction Procedures for Some Multidimensional Inverse Scattering and Inverse Boundary Value Problems

Inverse Problems and Theoretical Imaging - Inverse Methods in Action ◽

10.1007/978-3-642-75298-8_14 ◽

1990 ◽

pp. 114-116

Author(s):

A. I. Nachman

Keyword(s):

Boundary Value Problems ◽

Inverse Scattering ◽

Boundary Value ◽

Inverse Boundary ◽

Exact Reconstruction ◽

Inverse Boundary Value Problems

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