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A semi‐explicit integration scheme for weakly‐coupled poroelasticity with nonlinear permeability
Author(s) -
Altmann Robert,
Maier Roland,
Unger Benjamin
Publication year - 2021
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.202000061
Subject(s) - poromechanics , nonlinear system , scheme (mathematics) , permeability (electromagnetism) , mathematical analysis , mathematics , physics , engineering , porous medium , geotechnical engineering , quantum mechanics , membrane , porosity , biology , genetics
Within the time integration of linear elliptic‐parabolic problems such as poroelasticity, large systems have to be solved in every time step. With a semi‐explicit approach, these systems decouple, leading to a remarkable speed‐up. This paper indicates that this idea can also be applied to nonlinear problems such as poroelasticity with nonlinear permeability. To see this, we consider a related toy problem.