A posteriori error estimation and adaptivity for multiple-network poroelasticity

The multiple-network poroelasticity (MPET) equations describe deformation and pressures in an elastic medium permeated by interacting fluid networks. In this paper, we (i) place these equations in the theoretical context of coupled elliptic-parabolic problems, (ii) use this context to derive residua...

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Bibliographic Details
Published in:arXiv.org 2022-11
Main Authors: Eliseussen, Emilie, Rognes, Marie E, Thompson, Travis B
Format: Article
Language:English
Subjects:
Adaptive algorithms
Context
Elastic deformation
Elastic media
Errors
Mathematical analysis
Poroelasticity
Online Access:Get full text
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Summary:The multiple-network poroelasticity (MPET) equations describe deformation and pressures in an elastic medium permeated by interacting fluid networks. In this paper, we (i) place these equations in the theoretical context of coupled elliptic-parabolic problems, (ii) use this context to derive residual-based a posteriori error estimates and indicators for fully discrete MPET solutions and (iii) evaluate the performance of these error estimators in adaptive algorithms for a set of test cases: ranging from synthetic scenarios to physiologically realistic simulations of brain mechanics.
ISSN:2331-8422