Abstract
Time-step boundary element schemes for computer modeling of 3D poroelastodynamic boundary problem solutions is developed. To solve boundary value problems in Laplace domain boundary element method is used, as well as time-step method built on Runge - Kutta scheme nodes is used for numerical Laplace transform inversion. Time-step scheme with a varied integration step in quadrature coefficients calculation, taking into account the integrand symmetry, and basing on the highly oscillatory quadrature, is employed here. With the help of the developed approach a problem of poroelastic half-space, surface subjected to a normal pressure, is treated. Comparison of the solutions with the results obtained by means of traditional time-step scheme indicates computational cost decrease when Runge - Kutta methods are involved into time-stepping procedure of the boundary element scheme. Keywords: boundary element method, Laplace transform, stepping scheme, Runge − Kutta methods, 3D poroelastodynamics, half-space.
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