Stability and Regularization of a Discrete Approximation to the Cauchy Problem for Laplace's Equation

DOI10.1137/S0036142997316955zbMath0928.35184OpenAlexW1991686312MaRDI QIDQ4243592

Houde Han, Dinh Nho Hào, Hans-Juergen Reinhardt

Publication date: 19 May 1999

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0036142997316955

zbMATH Keywords

error estimatesregularizationCauchy problemLaplace equationfive-point difference approximation

Mathematics Subject Classification ID

Ill-posed problems for PDEs (35R25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Finite difference methods for boundary value problems involving PDEs (65N06)

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