Numerical evaluation of three-dimensional time-harmonic Green’s functions for a nonisotropic full-space

✍ Scribed by M. Dravinski; T. Zheng

• Publisher: Elsevier Science
• Year: 2000
• Tongue: English
• Weight: 226 KB
• Volume: 32
• Category: Article
• ISSN: 0165-2125
• DOI: 10.1016/s0165-2125(00)00034-2

✦ Synopsis

A method for numerical evaluation of three-dimensional time-harmonic Green's functions for nonisotropic media is proposed. The key feature of the method is that, by dealing with entire elastodynamic state vector, repeated evaluation of the common parts of the integrands can be avoided. This results in a more efficient algorithm when compared with the standard sequential integrands' evaluations. When compared to the sequential approach the method is more than three times faster in evaluating the displacement elastodynamic state vector and more than five times faster in calculation of the stress elastodynamic state vector. Consequently, this approach may be useful in numerical modeling of scattering of elastic waves in nonisotropic media.