A note on a Cauchy problem for the Laplace equation: Regularization and error estimates

DOI10.1016/j.amc.2010.09.019zbMath1206.65225OpenAlexW2009891617MaRDI QIDQ613213

Dang Duc Trong, Pham Hoang Quan, Nguyen Huy Tuan

Publication date: 20 December 2010

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2010.09.019

zbMATH Keywords

convergenceerror estimatesregularizationCauchy problemcontraction principleLaplace equationill-posed problemelliptic equationtruncation method

Mathematics Subject Classification ID

Ill-posed problems for PDEs (35R25) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30)

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