Neumann problems of 2D Laplace's equation by method of fundamental solutions

Applied Numerical Mathematics ◽

10.1016/j.apnum.2017.04.004 ◽

2017 ◽

Vol 119 ◽

pp. 126-145 ◽

Author(s):

Zi-Cai Li ◽

Ming-Gong Lee ◽

Hung-Tsai Huang ◽

John Y. Chiang

Keyword(s):

Fundamental Solutions ◽

Method Of Fundamental Solutions ◽

Laplace’S Equation ◽

Laplace's Equation ◽

Neumann Problems

Download Full-text

Stability analysis of the method of fundamental solutions with smooth closed pseudo-boundaries for Laplace’s equation: better pseudo-boundaries

Numerical Algorithms ◽

10.1007/s11075-021-01150-5 ◽

2021 ◽

Author(s):

Li-Ping Zhang ◽

Zi-Cai Li ◽

Ming-Gong Lee ◽

Hung-Tsai Huang

Keyword(s):

Stability Analysis ◽

Fundamental Solutions ◽

Method Of Fundamental Solutions ◽

Laplace’S Equation ◽

Laplace's Equation

Download Full-text

Source nodes on elliptic pseudo-boundaries in the method of fundamental solutions for Laplace’s equation; selection of pseudo-boundaries

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2020.112861 ◽

2020 ◽

Vol 377 ◽

pp. 112861 ◽

Author(s):

Fangfang Dou ◽

Li-Ping Zhang ◽

Zi-Cai Li ◽

C.S. Chen

Keyword(s):

Fundamental Solutions ◽

Method Of Fundamental Solutions ◽

Laplace’S Equation ◽

Laplace's Equation ◽

Download Full-text

New locations of source nodes for method of fundamental solutions solving Laplace’s equation; pseudo radial-lines

Engineering Analysis with Boundary Elements ◽

10.1016/j.enganabound.2021.12.004 ◽

2022 ◽

Vol 136 ◽

pp. 93-115

Author(s):

Li-Ping Zhang ◽

Zi-Cai Li ◽

Hung-Tsai Huang ◽

Ming-Gong Lee

Keyword(s):

Fundamental Solutions ◽

Method Of Fundamental Solutions ◽

Laplace’S Equation ◽

Laplace's Equation ◽

Download Full-text

Convergence analysis for the Cauchy problem of Laplace’s equation by a regularized method of fundamental solutions

Advances in Computational Mathematics ◽

10.1007/s10444-009-9134-7 ◽

2009 ◽

Vol 33 (4) ◽

pp. 491-510 ◽

Author(s):

T. Wei ◽

D. Y. Zhou

Keyword(s):

Cauchy Problem ◽

Convergence Analysis ◽

Fundamental Solutions ◽

Method Of Fundamental Solutions ◽

Laplace’S Equation ◽

Laplace's Equation ◽

The Cauchy Problem ◽

Regularized Method

Download Full-text

Stability analysis of method of fundamental solutions for mixed boundary value problems of Laplace’s equation

Computing ◽

10.1007/s00607-010-0081-4 ◽

2010 ◽

Vol 88 (1-2) ◽

pp. 1-29 ◽

Author(s):

Zi-Cai Li ◽

Jin Huang ◽

Hung-Tsai Huang

Keyword(s):

Stability Analysis ◽

Boundary Value Problems ◽

Mixed Boundary ◽

Boundary Value ◽

Fundamental Solutions ◽

Method Of Fundamental Solutions ◽

Laplace’S Equation ◽

Mixed Boundary Value Problems ◽

Laplace's Equation

Download Full-text

Generation of collocation points in the method of fundamental solutions for 2D Laplace's equation

JSIAM Letters ◽

10.14495/jsiaml.11.49 ◽

2019 ◽

Vol 11 (0) ◽

pp. 49-52

Author(s):

Hiroaki Hirano ◽

Ken'ichiro Tanaka

Keyword(s):

Fundamental Solutions ◽

Method Of Fundamental Solutions ◽

Laplace’S Equation ◽

Laplace's Equation ◽

Collocation Points

Download Full-text

Combinations of method of fundamental solutions for Laplace's equation with singularities

Engineering Analysis with Boundary Elements ◽

10.1016/j.enganabound.2008.01.002 ◽

2008 ◽

Vol 32 (10) ◽

pp. 856-869 ◽

Author(s):

Zi-Cai Li

Keyword(s):

Fundamental Solutions ◽

Method Of Fundamental Solutions ◽

Laplace’S Equation ◽

Laplace's Equation

Download Full-text

The method of fundamental solutions for solving a Cauchy problem of Laplace's equation in a multi-connected domain

Inverse Problems in Science and Engineering ◽

10.1080/17415970701602614 ◽

2008 ◽

Vol 16 (3) ◽

pp. 389-411 ◽

Author(s):

Dayong Zhou ◽

Ting Wei

Keyword(s):

Cauchy Problem ◽

Connected Domain ◽

Fundamental Solutions ◽

Method Of Fundamental Solutions ◽

Laplace’S Equation ◽

Laplace's Equation

Download Full-text

A variational-type method of fundamental solutions for a Cauchy problem of Laplace’s equation

Applied Mathematical Modelling ◽

10.1016/j.apm.2012.03.023 ◽

2013 ◽

Vol 37 (3) ◽

pp. 1039-1053 ◽

Author(s):

T. Wei ◽

Y.G. Chen ◽

J.C. Liu

Keyword(s):

Cauchy Problem ◽

Fundamental Solutions ◽

Method Of Fundamental Solutions ◽

Laplace’S Equation ◽

Type Method ◽

Laplace's Equation ◽

Variational Type

Download Full-text

Method of fundamental solutions for Neumann problems of the modified Helmholtz equation in disk domains

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2021.113795 ◽

2021 ◽

pp. 113795

Author(s):

Shin-Ichiro Ei ◽

Hiroyuki Ochiai ◽

Yoshitaro Tanaka

Keyword(s):

Helmholtz Equation ◽

Fundamental Solutions ◽

Method Of Fundamental Solutions ◽

Modified Helmholtz Equation ◽

Neumann Problems

Download Full-text