A generalized Helmholtz equation fundamental solution using a conformal mapping and dependent variable transformation

被引:18
作者
Shaw, RP
Manolis, GD
机构
[1] SUNY Buffalo, Dept Civil Engn, Buffalo, NY 14260 USA
[2] Aristotelian Univ Salonika, GR-54006 Salonika, Greece
关键词
Helmholtz equation; heterogeneous media; conformal mapping;
D O I
10.1016/S0955-7997(99)00050-8
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
Fundamental solutions to a generalized Helmholtz equation are determined through dependent variable transforms using the material properties and independent variable transforms based on conformal mapping. This allows variable wave speed media to be examined under some fairly broad material property constraints. (C) 2000 Elsevier Science Ltd. All rights reserved.
引用
收藏
页码:177 / 188
页数:12
相关论文
共 37 条
[21]   A QUANTITATIVE EVALUATION OF SEISMIC SIGNALS AT TELESEISMIC DISTANCES .2. BODY WAVES AND SURFACE WAVES FROM AN EXTENDED SOURCE [J].
HUDSON, JA .
GEOPHYSICAL JOURNAL OF THE ROYAL ASTRONOMICAL SOCIETY, 1969, 18 (04) :353-&
[22]   ELASTIC WAVE PROPAGATION IN HOMOGENEOUS AND INHOMOGENEOUS MEDIA [J].
KARAL, FC ;
KELLER, JB .
JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 1959, 31 (06) :694-705
[23]  
KAUSEL E, 1981, B SEISMOL SOC AM, V71, P1743
[24]  
MIKHAILENKO BG, 1985, J GEOPHYS-Z GEOPHYS, V58, P101
[25]   SYNTHETIC SEISMOGRAMS FOR COMPLEX 3-DIMENSIONAL GEOMETRIES USING AN ANALYTICAL NUMERICAL ALGORITHM [J].
MIKHAILENKO, BG .
GEOPHYSICAL JOURNAL OF THE ROYAL ASTRONOMICAL SOCIETY, 1984, 79 (03) :963-986
[26]   WAVE-PROPAGATION IN INHOMOGENEOUS-MEDIA - A PLANEWAVE LAYER INTERACTION METHOD [J].
PAI, DM .
WAVE MOTION, 1991, 13 (03) :205-209
[27]   ELASTIC WAVE PROPAGATION IN A NON-HOMOGENEOUS ROD [J].
PAYTON, RG .
QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS, 1966, 19 :83-&
[28]  
PIRES JA, 1993, STRUCTURAL MECH REAC, P219
[29]  
SAFAK E, 1995, J ENG MECH-ASCE, V121, P801
[30]   Interrelated fundamental solutions for various heterogeneous potential, wave and advective-diffusive problems [J].
Shaw, RP ;
Gipson, GS .
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 1995, 16 (01) :29-33