Abstract

The paper is dedicated to the development of time-stepping boundary element schemes for computer modeling of 3D elastic and poroelastic dynamic boundary problems solutions. Boundary element scheme is based on the time-step method for numerical inversion of Laplace transformation, in its turn built on Runge - Kutta scheme nodes. Time-stepping scheme with a key, derived from highly oscillatory integration conditions, is applied. The overall approach is demonstrated in some numerical examples. Keywords: boundary element method, time-stepping scheme, Runge − Kutta scheme, highly oscillatory quadrature, 3D dynamics, elasticity, poroelasticity.

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