Interrelated fundamental solutions for various heterogeneous potential, wave and advective-diffusive problems

被引:11
作者
Shaw, RP [1 ]
Gipson, GS [1 ]
机构
[1] OKLAHOMA STATE UNIV,SCH CIVIL ENGN,STILLWATER,OK
关键词
heterogeneous media; fundamental solutions; boundary element method;
D O I
10.1016/0955-7997(95)00056-9
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
The Green's fundamental solutions for several second order elliptic partial differential equations governing various physical processes are found to be interrelated. These solutions are required for boundary integral equation formulations. Thus a solution for one such process is essentially a solution for several others. This is particularly useful for heterogeneous media where the catalog of existing fundamental solutions is meager. After a discussion of these relationships, a new class of two dimensional fundamental solutions involving axisymmetric material variations is given.
引用
收藏
页码:29 / 33
页数:5
相关论文
共 5 条
[1]  
BREBBIA CA, 1992, BOUNDARY ELEMENTS
[2]   DARCY FLOW WITH VARIABLE PERMEABILITY - A BOUNDARY INTEGRAL SOLUTION [J].
CHENG, AHD .
WATER RESOURCES RESEARCH, 1984, 20 (07) :980-984
[3]  
Clements D. L., 1980, J AUSTR MATH SOC B, V22, P218, DOI DOI 10.1017/S0334270000002290
[4]  
GHEORGHITZA S, 1969, 1ST S FUND TRANSP PH
[5]   GREEN-FUNCTIONS FOR HELMHOLTZ AND LAPLACE EQUATIONS IN HETEROGENEOUS MEDIA [J].
SHAW, RP ;
MAKRIS, N .
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 1992, 10 (02) :179-183