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Iterative Coupling for Fully Dynamic Poroelasticity

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 نشر من قبل Markus Bause
 تاريخ النشر 2019
  مجال البحث الهندسة المعلوماتية
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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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