# Explicit Integration of Boundary Integral Equations in the Frequency Domain for Wave Scattering Problems

*by*S. Altay, Princeton Univ, Princeton, NJ, USA,

A. Askar, Princeton Univ, Princeton, NJ, USA,

P. Hadley, Princeton Univ, Princeton, NJ, USA,

A. S. Cakmak, Princeton Univ, Princeton, NJ, USA,

**Document Type:**Proceeding Paper

**Part of:**Recent Applications in Computational Mechanics

**Abstract:**The goals of this article are: (1) to present an efficient method for the integration of the boundary integral equations for wave scattering problems and (2) to apply this method to the study of scattering of elastic waves by surface topographies and underground structures. The explicit integration scheme of the boundary integral equations is shown to be stable and the computational effort is seen to be of the order of constructing the matrix of coefficients since no matrix inversions are involved. The computer memory requirements are also quite minimal since the coefficient matrices are not needed.

**Subject Headings:**Integrals | Integral equations | Surface waves | Wave equations | Underground structures | Matrix (mathematics) | Domain boundary | Elastic analysis

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