On the non-linear integral equation approach for an inverse boundary value problem for the heat equation

Journal of Engineering Mathematics ◽

10.1007/s10665-019-10028-4 ◽

2019 ◽

Vol 119 (1) ◽

pp. 255-268 ◽

Author(s):

Roman Chapko ◽

Leonidas Mindrinos

Keyword(s):

Integral Equation ◽

Boundary Value Problem ◽

Heat Equation ◽

Boundary Value ◽

Linear Integral Equation ◽

Equation Approach ◽

Inverse Boundary ◽

Inverse Boundary Value Problem ◽

Integral Equation Approach ◽

Linear Integral

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On the numerical solution of an inverse boundary value problem for the heat equation

Inverse Problems ◽

10.1088/0266-5611/14/4/006 ◽

1998 ◽

Vol 14 (4) ◽

pp. 853-867 ◽

Author(s):

Roman Chapko ◽

Rainer Kress ◽

Jeong-Rock Yoon

Keyword(s):

Boundary Value Problem ◽

Heat Equation ◽

Numerical Solution ◽

Boundary Value ◽

Inverse Boundary ◽

Inverse Boundary Value Problem

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On the integral equation approach for solution of a Neumann boundary value problem for an elliptic equation with variable coefficients

Application Mathematics and Informatics ◽

10.30970/vam.2018.26.9699 ◽

2018 ◽

Vol 26 ◽

Author(s):

A Beshley

Keyword(s):

Integral Equation ◽

Elliptic Equation ◽

Boundary Value Problem ◽

Boundary Value ◽

Neumann Boundary ◽

Variable Coefficients ◽

Equation Approach ◽

Neumann Boundary Value Problem ◽

Integral Equation Approach

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Numerical solution of an inverse boundary value problem for the heat equation with unknown inclusions

Journal of Computational Physics ◽

10.1016/j.jcp.2018.05.008 ◽

2018 ◽

Vol 369 ◽

pp. 1-15 ◽

Author(s):

Haibing Wang ◽

Yi Li

Keyword(s):

Boundary Value Problem ◽

Heat Equation ◽

Numerical Solution ◽

Boundary Value ◽

Inverse Boundary ◽

Inverse Boundary Value Problem

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Numerical Method for the Inverse Boundary-Value Problem of the Heat Equation

Computational Mathematics and Modeling ◽

10.1007/s10598-017-9352-7 ◽

2017 ◽

Vol 28 (2) ◽

pp. 141-147

Author(s):

V. I. Dmitriev ◽

L. V. Stolyarov

Keyword(s):

Boundary Value Problem ◽

Heat Equation ◽

Numerical Method ◽

Boundary Value ◽

Inverse Boundary ◽

Inverse Boundary Value Problem

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Inverse boundary value problem for the heat equation with discontinuous coefficients

Journal of Inverse and Ill-Posed Problems ◽

10.1515/jip-2012-0073 ◽

2013 ◽

Vol 21 (2) ◽

Author(s):

Gen Nakamura ◽

Satoshi Sasayama

Keyword(s):

Boundary Value Problem ◽

Heat Equation ◽

Boundary Value ◽

Discontinuous Coefficients ◽

Inverse Boundary ◽

Inverse Boundary Value Problem

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An inverse boundary value problem for the heat equation: the Neumann condition

Inverse Problems ◽

10.1088/0266-5611/15/4/313 ◽

1999 ◽

Vol 15 (4) ◽

pp. 1033-1046 ◽

Author(s):

Roman Chapko ◽

Rainer Kress ◽

Jeong-Rock Yoon

Keyword(s):

Boundary Value Problem ◽

Heat Equation ◽

Boundary Value ◽

Neumann Condition ◽

Inverse Boundary ◽

Inverse Boundary Value Problem

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A linear integral equation approach to the Robin inverse problem

Inverse Problems ◽

10.1088/0266-5611/21/5/015 ◽

2005 ◽

Vol 21 (5) ◽

pp. 1757-1772 ◽

Author(s):

Furong Lin ◽

Weifu Fang

Keyword(s):

Inverse Problem ◽

Integral Equation ◽

Linear Integral Equation ◽

Equation Approach ◽

Integral Equation Approach ◽

Linear Integral

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Inverse Boundary Value Problem for Determination of Permittivity of Dielectric Body in a Waveguide using the Method of Volume Singular Integral Equation

IEEJ Transactions on Fundamentals and Materials ◽

10.1541/ieejfms.129.675 ◽

2009 ◽

Vol 129 (10) ◽

pp. 675-680 ◽

Author(s):

Yury G. Smirnov

Keyword(s):

Integral Equation ◽

Singular Integral Equation ◽

Boundary Value Problem ◽

Singular Integral ◽

Boundary Value ◽

Dielectric Body ◽

Inverse Boundary ◽

Inverse Boundary Value Problem ◽

Volume Singular Integral Equation

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Reconstruction of inclusions for the inverse boundary value problem for non-stationary heat equation

Algebraic Analysis of Differential Equations ◽

10.1007/978-4-431-73240-2_10 ◽

2009 ◽

pp. 89-99

Author(s):

Yuki Daido ◽

Hyeonbae Kang ◽

Gen Nakamura

Keyword(s):

Boundary Value Problem ◽

Heat Equation ◽

Boundary Value ◽

Inverse Boundary ◽

Inverse Boundary Value Problem ◽

Stationary Heat

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The design of cavitation-free hydroprofiles based on the solution of a mixed inverse boundary-value problem

Journal of Applied Mathematics and Mechanics ◽

10.1016/0021-8928(94)90029-9 ◽

1994 ◽

Vol 58 (1) ◽

pp. 59-66

Author(s):

N.B. Il'inskii ◽

D.A. Fokin

Keyword(s):

Boundary Value Problem ◽

Boundary Value ◽

Inverse Boundary ◽

Inverse Boundary Value Problem

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