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Frequency Domain Biot--Allard Equations for Isotropic and Anisotropic Poroelastic Media: Two-field formulations and iterative splitting
Morten Jakobsen, Jakob Seierstad Stokke, Kundan Kumar +1
We present a frequency-domain formulation of Biot's dynamic poroelastic equations with frequency-dependent dissipation (Biot--Allard) for anisotropic, heterogeneous media with memo…
Convergent adaptive iterative schemes for solving multi-physics problems
Jakob S. Stokke, Kundan Kumar, Florin A. Radu
In this paper, we derive a practical, general framework for creating adaptive iterative (linearization or splitting) algorithms to solve multi-physics problems. This means that, gi…
A History-dependent Dynamic Biot Model
Jakob S. Stokke, Morten Jakobsen, Kundan Kumar +1
In this work, we consider a fully dynamic Biot model that includes memory effects due to evolving permeability. Time integrals are used to account for the change in structure. We p…
Computational orders of convergence of iterative methods for Richards' equation
Nicolae Suciu, Florin A. Radu, Jakob S. Stokke +2
Numerical solutions for flows in partially saturated porous media pose challenges related to the non-linearity and elliptic-parabolic degeneracy of the governing Richards' equation…
An adaptive solution strategy for Richards' equation
Jakob S. Stokke, Koondanibha Mitra, Erlend Storvik +2
Flow in variably saturated porous media is typically modelled by the Richards equation, a nonlinear elliptic-parabolic equation which is notoriously challenging to solve numericall…