The harmonic polynomial method for solving the Cauchy problem connected with the Laplace equation

DOI10.1088/0266-5611/29/6/065008zbMath1278.65163OpenAlexW2092853832MaRDI QIDQ2852286

Deyue Zhang, Enxi Zheng, Guimin Zhang

Publication date: 8 October 2013

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0266-5611/29/6/065008

zbMATH Keywords

stabilityconvergenceCauchy problemnumerical examplesLaplace equationharmonic polynomial method

Mathematics Subject Classification ID

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) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items (3)

Recovery of the temperature and the heat flux by a novel meshless method from the measured noisy data ⋮ Modified method of fundamental solutions for the Cauchy problem connected with the Laplace equation ⋮ A harmonic polynomial method with a regularization strategy for the boundary value problems of Laplace's equation

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