Boundary-integral approach to the numerical solution of the Cauchy problem for the Laplace equation
type: Item
instance of: scholarly article
title: Boundary-integral approach to the numerical solution of the Cauchy problem for the Laplace equation
zbMATH Open document ID: 1490.65298
published in: Ukrainian Mathematical Journal
publication date: 2019-02-27T00:00:00Z
full work available at URL: Boundary integral approach to the numerical solution of the Cauchy problem.pdf
Mathematics Subject Classification ID: 65N38
Mathematics Subject Classification ID: 35J25
Mathematics Subject Classification ID: 35R25
zbMATH DE Number: 7030331
zbMATH Keywords: direct method of boundary integral equations
zbMATH Keywords: numerical solution of Cauchy problem
zbMATH Keywords: Laplace equation in doubly connected domains
author: R. S. Chapko
author: B. Tomas Johansson
describes a project that uses: UTV
MaRDI profile type: Publication
OpenAlex ID: W2621065159
cites work: On the Numerical Solution of the Laplace Equation withComplete and Incomplete Cauchy Data Using IntegralEquations
cites work: On the Alternating Method for Cauchy Problems and Its Finite Element Discretisation
cites work: Numerical solution of an elliptic 3-dimensional Cauchy problem by the alternating method and boundary integral equations
cites work: A convergent data completion algorithm using surface integral equations
cites work: Integral equations for inverse problems in corrosion detection from partial Cauchy data
cites work: A Carleman estimate and the balancing principle in the quasi-reversibility method for solving the Cauchy problem for the Laplace equation
cites work: An alternating boundary integral based method for a Cauchy problem for the Laplace equation in semi-infinite regions
cites work: On the numerical solution of a Cauchy problem for the Laplace equation via a direct integral equation approach
cites work: A Direct Integral Equation Method for a Cauchy Problem for the Laplace Equation in 3-Dimensional Semi-Infinite Domains
cites work: On the use of an integral equation approach for the numerical solution of a Cauchy problem for Laplace equation in a doubly connected planar domain
cites work: Some Historical Remarks on the Positivity of Boundary Integral Operators
cites work: A Variational Method and Approximations of a Cauchy Problem for Elliptic Equations
cites work: A high-order algorithm for obstacle scattering in three dimensions
cites work: Inverse problems for partial differential equations
cites work: Optimizational method for solving the Cauchy problem for an elliptic equation
cites work: Direct and iteration methods for solving inverse and ill-posed problems
cites work: A survey of applications of the MFS to inverse problems
cites work: An introduction to the mathematical theory of inverse problems
cites work: Q3358177
cites work: A Nyström method for boundary integral equations in domains with corners
cites work: Linear integral equations
cites work: Boundary element method for the Cauchy problem in linear elasticity.
cites work: Q4953888
cites work: Q4001383
DOI: 10.1007/S11253-017-1339-1
description: scientific article; zbMATH DE number 7030331