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

Deyue Zhang; Fenglin Sun; Linyan Lu; Yukun Guo

doi:10.1016/j.aml.2017.12.003

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

Deyue Zhang
, Fenglin Sun
, Linyan Lu
, Yukun Guo^*

^*Corresponding author for this work

School of Mathematics

School of Mathematics

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	100-104
Number of pages	5
Journal	Applied Mathematics Letters
Volume	79
DOIs	https://doi.org/10.1016/j.aml.2017.12.003
State	Published - May 2018

Keywords

Harmonic polynomial
Laplace's equation
Regularization

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10.1016/j.aml.2017.12.003

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

abstract = "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.",

keywords = "Harmonic polynomial, Laplace's equation, Regularization",

author = "Deyue Zhang and Fenglin Sun and Linyan Lu and Yukun Guo",

note = "Publisher Copyright: {\textcopyright} 2017 Elsevier Ltd",

year = "2018",

month = may,

doi = "10.1016/j.aml.2017.12.003",

language = "英语",

volume = "79",

pages = "100--104",

journal = "Applied Mathematics Letters",

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T1 - A harmonic polynomial method with a regularization strategy for the boundary value problems of Laplace's equation

AU - Zhang, Deyue

AU - Sun, Fenglin

AU - Lu, Linyan

AU - Guo, Yukun

PY - 2018/5

Y1 - 2018/5

N2 - 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.

AB - 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.

KW - Harmonic polynomial

KW - Laplace's equation

KW - Regularization

UR - https://www.scopus.com/pages/publications/85038893134

U2 - 10.1016/j.aml.2017.12.003

DO - 10.1016/j.aml.2017.12.003

M3 - 文章

AN - SCOPUS:85038893134

SN - 0893-9659

VL - 79

SP - 100

EP - 104

JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

ER -

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

Abstract

Keywords

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