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

作者：Zhang, Deyue; Sun, Fenglin; Lu, Linyan; Guo, Yukun^*

来源：Applied Mathematics Letters, 2018, 79: 100-104.

DOI：10.1016/j.aml.2017.12.003

• Harmonic polynomial
• Regularization
• Laplace's equation

This paper concerns a boundary value problem of Laplace's equation, which is solved by determining the unknown coefficients in the expansion of harmonic polynomials. A regularization method is proposed to tackle the resulting ill-posed linear system. The stability and convergence results are provided and a validating numerical experiment is presented.

• 出版日期2018-5
• 单位哈尔滨工业大学; 吉林大学