A Quasi-Boundary-Value method for a Cauchy problem of an elliptic equation in multiple dimensions
type: Item
instance of: scholarly article
title: A Quasi-Boundary-Value method for a Cauchy problem of an elliptic equation in multiple dimensions
zbMATH Open document ID: 1321.65165
DOI: 10.1080/17415977.2013.850683
author: Xiao-Li Feng
author: Wantao Ning
author: Zhi Qian
published in: Inverse Problems in Science and Engineering
publication date: 2015-10-01T00:00:00Z
Mathematics Subject Classification ID: 65N20
Mathematics Subject Classification ID: 35J25
Mathematics Subject Classification ID: 35R25
zbMATH DE Number: 6487973
zbMATH Keywords: elliptic equation
zbMATH Keywords: quasi-boundary-value method
zbMATH Keywords: error estimate
zbMATH Keywords: variable coefficients
zbMATH Keywords: multiple dimensions
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1080/17415977.2013.850683
OpenAlex ID: W2002344869
cites work: Funktionentheoretische Bestimmung des Außenfeldes zu einer zweidimensionalen magnetohydrostatischen Konfiguration
cites work: On the inverse potential problem of electrocardiology
cites work: Stable determination of a crack from boundary measurements
cites work: The stability for the Cauchy problem for elliptic equations
cites work: Inverse problems for partial differential equations
cites work: Q5816908
cites work: Backus-Gilbert algorithm for the Cauchy problem of the Laplace equation
cites work: Wavelets and regularization of the Cauchy problem for the Laplace equation
cites work: A statistical approach to the Cauchy problem for the Laplace equation
cites work: Convergence rates for the quasi-reversibility method to solve the Cauchy problem for Laplace's equation
cites work: Stability results for the Cauchy problem for the Laplace equation in a strip
cites work: Fourier regularization method for solving a Cauchy problem for the Laplace equation
cites work: Stability results for a Cauchy problem for an elliptic equation
cites work: A mollification regularization method for the Cauchy problem of an elliptic equation in a multi-dimensional case
cites work: A new wavelet method for solving an ill-posed problem
cites work: A comparison of regularizations for an ill-posed problem
cites work: A non-local boundary value problem method for the Cauchy problem for elliptic equations
cites work: Regularization of parabolic equations backward in time by a non-local boundary value problem method
cites work: On a sideways parabolic equation
cites work: Q3020308
cites work: Regularization of ill-posed differential problems
cites work: Simplified Tikhonov and Fourier regularization methods on a general sideways parabolic equation
cites work: Wavelet and Fourier Methods for Solving the Sideways Heat Equation
cites work: Regularization strategies for a two-dimensional inverse heat conduction problem
Recommended article: A quasi-boundary-value method for the Cauchy problem for elliptic equations with nonhomogeneous Neumann data
Recommended article: Modified quasi-boundary value method for a Cauchy problem of semi-linear elliptic equation
Recommended article: Q3092934
Recommended article: A quasilinearization method for elliptic problems with a nonlinear boundary condition
Recommended article: A Quasi-Newton Method for Elliptic Boundary Value Problems
Recommended article: Solving a Cauchy problem for a 3D elliptic PDE with variable coefficients by a quasi-boundary-value method
Recommended article: Quasilinearization method for nonlinear elliptic boundary-value problems
Recommended article: Q3337763
Recommended article: A quadrature method for classes of multi–parameter two point boundary value problems
Recommended article: Quasilinearization and approximate quasilinearization for multipoint boundary value problems
description: scientific article