A Finite Element Method for Seismology

Modeling Seismic Wave Propagation in Complex Media.

“…(1) FEM + BEM Fukuwa et al (1985), Nakamura et al (1988), Takemiya et al (1990), Takemiya and Tomono (1992) (2) FEM + Aki-Lamer method Motosaka and Urao (1989) (3) FEM + Thin layer element method Ishikawa et al (1990), Sato and Hasegawa (1990) (4) FEM + Particle model method Ohtsuki and Harumi (1983) In the above list the thin layer element method is an interior method, which is efficient for calculating wavefields in the horizontally layered media approximately ((2, 1)-D: Lysmer and Drake, 1972;(3, 1)-D: Tajimi and Shimomura, 1976) and sometimes classified into FEM, and the particle method is also an interior method, which models a medium as point-masses connected by the springs each other (Harumi et al, 1978).…”

Study of beamforming techniques for ultrasound imaging in nondestructive testing

“…Furthermore, representing large structures as a number of smaller substructures, that are properly assembled, describes the phenomenon of domain decomposition. In the field of wave propagation, FEM was not applied until 1972 by Lysmer et al [79] in seismology. Thereafter, the FE formulation started to converge more steadily to the study of wave transmission and scattering to and from defects embedded in elastic solids.…”

Finite element study of ultrasonic imaging

“…The study of the large structure is then reduced to that of the elementary structures and their connections. Application of FEM to wave propagation problems was introduced by Lysmer and Drake [33] [38][39][40]. They extended the modeling work on electromagnetic NDT problems [41] to handle the ultrasonic case.…”