A harmonic polynomial method with a regularization strategy for the boundary value problems of Laplace's equation

DOI10.1016/j.aml.2017.12.003zbMath1466.65169OpenAlexW2771685401MaRDI QIDQ1996387

Linyan Lu, Yukun Guo, Fenglin Sun, Deyue Zhang

Publication date: 4 March 2021

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2017.12.003

zbMATH Keywords

regularizationharmonic polynomialLaplace's equation

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical methods for ill-posed problems for boundary value problems involving PDEs (65N20)

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Cites Work

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