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A Weak Form of the Conjugate Gradient FFT Method for Two-Dimensional Elastodynamics

✍ Scribed by George Pelekanos; Ralph E. Kleinman; Peter M. van den Berg

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
144 KB
Volume
160
Category
Article
ISSN
0021-9991

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✦ Synopsis

The problem of two-dimensional scattering of elastic waves by an elastic inclusion can be formulated in terms of a domain integral equation, in which the grad-div operator acts on a vector potential. The vector potential is the spatial convolution of a Green's function with the product of the density and the displacement over the domain of interest. A weak form of the integral equation for the unknown displacement is obtained by testing it with rooftop functions. This method shows excellent numerical performance.

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