Recovery the interior temperature of a nonhomogeneous elliptic equation from boundary data

DOI10.1186/1029-242X-2014-19zbMath1375.31005OpenAlexW2158933177WikidataQ59319475 ScholiaQ59319475MaRDI QIDQ2405560

Publication date: 26 September 2017

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1029-242x-2014-19

zbMATH Keywords

inverse problem Laplace operator boundary values

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary value and inverse problems for harmonic functions in two dimensions (31A25)

Cites Work

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A note on a Cauchy problem for the Laplace equation: Regularization and error estimates
The method of fundamental solutions for inverse boundary value problems associated with the two-dimensional biharmonic equation
Numerical methods for some inverse problems of heart electrophysiology
Conjugate gradient-boundary element solution to the Cauchy problem for Helmholtz-type equations
A spectral regularization method for a Cauchy problem of the modified Helmholtz equation
The Fourier regularization for solving the Cauchy problem for the Helmholtz equation
Two regularization methods for a Cauchy problem for the Laplace equation
BEM solution for the Cauchy problem associated with Helmholtz-type equations by the Landweber method
Fourth-order modified method for the Cauchy problem for the Laplace equation
On a quasi-reversibility regularization method for a Cauchy problem of the Helmholtz equation
Numerical solution of a Cauchy problem for the Laplace equation
Numerical Computation of a Cauchy Problem for Laplace's Equation
Conditional Stability Estimates and Regularization with Applications to Cauchy Problems for the Helmholtz Equation
A Fourth-Order Modified Method for the Cauchy Problem of the Modified Helmholtz Equation
A Computational Quasi-Reversibility Method for Cauchy Problems for Laplace’s Equation
The Cauchy problem for Laplace's equation via the conjugate gradient method
Optimizational method for solving the Cauchy problem for an elliptic equation
Convergence analysis for finite element approximation to an inverse Cauchy problem

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