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arXiv · 1912.05174

Iterative Coupling for Fully Dynamic Poroelasticity

Markus Bause·Jakub W. Both·Florin A. Radu
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Abstract

We present an iterative coupling scheme for the numerical approximation of the mixed hyperbolic-parabolic system of fully dynamic poroelasticity. We prove its convergence in the Banach space setting for an abstract semi-discretization in time that allows the application of the family of diagonally implicit Runge-Kutta methods. Recasting the semi-discrete solution as the minimizer of a properly defined energy functional, the proof of convergence uses its alternating minimization. The scheme is closely related to the undrained split for the quasi-static Biot system.

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Markus Bause, Jakub W. Both, Florin A. Radu. 2019-12-11. Iterative Coupling for Fully Dynamic Poroelasticity. https://doi.org/10.1007/978-3-030-55874-1_10

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