Indirect boundary integral equation method for the Cauchy problem of the Laplace equation (Q1704833)

scientific article; zbMATH DE number 6849478

Language	Label	Description	Also known as
English	Indirect boundary integral equation method for the Cauchy problem of the Laplace equation	scientific article; zbMATH DE number 6849478

Statements

instance of

scholarly article

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title

Indirect boundary integral equation method for the Cauchy problem of the Laplace equation (English)

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author

Yao Sun

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published in

Journal of Scientific Computing

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publication date

13 March 2018

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zbMATH Keywords

harmonic functions

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boundary value problems

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1007/s10915-016-0308-4

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cites work

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The stability for the Cauchy problem for elliptic equations

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Numerical solution of a Cauchy problem for the Laplace equation

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A new concept of modal participation factor for numerical instability in the dual BEM for exterior acoustics.

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Analytical study and numerical experiments for degenerate scale problems in boundary element method using degenerate kernels and circulants

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Analytical derivation and numerical experiments of degenerate scale for an ellipse in BEM

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Regularization methods for ill-conditioned system of the integral equation of the first kind with the logarithmic kernel

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Revisit of the indirect boundary element method: necessary and sufficient formulation

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Numerical computation of a Cauchy problem for Laplace's equation

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Inverse acoustic and electromagnetic scattering theory

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Q3672341

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Boundary particle method for Cauchy inhomogeneous potential problems

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Singular boundary method for inverse heat conduction problems in general anisotropic media

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Backus-Gilbert algorithm for the Cauchy problem of the Laplace equation

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Some stability estimates for Cauchy problems for elliptic equations

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Non-equivalence of the conventional boundary integral formulation and its elimination for two-dimensional mixed potential problems

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Inverse problems for partial differential equations

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An introduction to the mathematical theory of inverse problems

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Linear integral equations

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A Computational Quasi-Reversibility Method for Cauchy Problems for Laplace’s Equation

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Q3278561

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Boundary element solution for the Cauchy problem in linear elasticity using singular value decomposition

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Regularized boundary element solution for an inverse boundary value problem in linear elasticity

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Boundary element-Landweber method for the Cauchy problem in linear elasticity

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Relaxation procedures for an iterative MFS algorithm for two-dimensional steady-state isotropic heat conduction Cauchy problems

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Nonuniqueness in the integral equation formulation of the biharmonic equation in multiply connected domains

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Fourth-order modified method for the Cauchy problem for the Laplace equation

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An integral equation approach to boundary value problems of classical elastostatics

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Method of fundamental solutions with optimal regularization techniques for the Cauchy problem of the Laplace equation with singular points

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A potential function method for the Cauchy problem of elliptic operators

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Modified method of fundamental solutions for the Cauchy problem connected with the Laplace equation

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Tikhonov Regularization by a Reproducing Kernel Hilbert Space for the Cauchy Problem for an Elliptic Equation

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Optimal stable solution of Cauchy problems for elliptic equations

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Method of fundamental solutions with regularization techniques for Cauchy problems of elliptic operators

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Convergence analysis for the Cauchy problem of Laplace's equation by a regularized method of fundamental solutions

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Optimality of the method of fundamental solutions

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Central difference regularization method for the Cauchy problem of the Laplace's equation

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On numerical experiments for Cauchy problems of elliptic operators

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Identifiers

zbMATH Open document ID

1387.31002

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Mathematics Subject Classification ID

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10.1007/S10915-016-0308-4

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Sitelinks

Mathematics(1 entry)

mardi Publication:1704833