Zobrazeno 1 - 5
of 5
pro vyhledávání: '"Hung-Chih Shieh"'
Autor:
Hung-Chih Shieh, 謝宏治
97
In this thesis, we solve the Green’s function and boundary value problems (BVPs) without source for the Laplace equation with circular and spherical boundaries by using the image method. We find that the image method is a special case of th
In this thesis, we solve the Green’s function and boundary value problems (BVPs) without source for the Laplace equation with circular and spherical boundaries by using the image method. We find that the image method is a special case of th
Externí odkaz:
http://ndltd.ncl.edu.tw/handle/00597248212651843490
Publikováno v:
Engineering Analysis with Boundary Elements. 35:236-243
Green's functions of Laplace problems containing circular boundaries are solved by using analytical and semi-analytical approaches. For the analytical solution, we derive the Green's function using the bipolar coordinates. Based on the semi-analytica
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::207ff7ee07606868b3bc68f443858c3b
https://doi.org/10.1016/j.enganabound.2010.08.008
https://doi.org/10.1016/j.enganabound.2010.08.008
Publikováno v:
Applied Mathematical Modelling. 34:4253-4266
In this paper, both analytical and semi-analytical solutions for Green’s functions are obtained by using the image method which can be seen as a special case of method of fundamental solutions (MFS). The image method is employed to solve the Green
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::104097d921aea2127b7c8687a5a85d8a
https://doi.org/10.1016/j.apm.2010.04.022
https://doi.org/10.1016/j.apm.2010.04.022
Publikováno v:
Applied Mathematics and Computation. 216:1453-1468
In this paper, we employ the image method to solve boundary value problems in domains containing circular or spherical shaped boundaries free of sources. two and threeD problems as well as symmetric and anti-symmetric cases are considered. By treatin
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::369ad384361a6e3d670273334924f659
https://doi.org/10.1016/j.amc.2010.02.048
https://doi.org/10.1016/j.amc.2010.02.048
Publikováno v:
Journal of Applied Mechanics. 80
The main result is the analytical derivation of Green's function for the domain bounded by nonconcentric spheres in terms of bispherical coordinates. Both surfaces, inner and outer boundaries, are specified by the Dirichlet boundary conditions. This
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e909b5d5ac6e42c56b545d9a0b38e75e
https://doi.org/10.1115/1.4007071
https://doi.org/10.1115/1.4007071