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The development of a time-step boundary element scheme for computer simulation of solving boundary value problems of three-dimensional dynamics of poroelasticity is considered. The boundary element scheme is based on the time-step method of numerical inversion of the Laplace transform at the nodes of the Runge–Kutta scheme. A time-step scheme with a key is used, which arises from the integration of highly oscillating functions. The general approach is demonstrated by a numerical example. The problem of an elastic half-space with an open trench under the action of a suddenly applied force is considered примерах.

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Analysis of Transient Response of Poroelastic Half-Space with Open Trench by BEM Using Runge–Kutta Convolution Quadrature

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  • 发表日期：

    2025年

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  • Andrey N. Petrov,
  • Leonid A. Igumnov,
  • Aleksandr A. Belov,
  • Vyacheslav V. Lukin

摘要

The development of a time-step boundary element scheme for computer simulation of solving boundary value problems of three-dimensional dynamics of poroelasticity is considered. The boundary element scheme is based on the time-step method of numerical inversion of the Laplace transform at the nodes of the Runge–Kutta scheme. A time-step scheme with a key is used, which arises from the integration of highly oscillating functions. The general approach is demonstrated by a numerical example. The problem of an elastic half-space with an open trench under the action of a suddenly applied force is considered примерах.