A posteriori error estimation and adaptivity for multiple-network poroelasticity
Journal article, Peer reviewed
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Date
2023Metadata
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Original version
Mathematical Modelling and Numerical Analysis. 2023, 57 (4), 1921-1952. 10.1051/m2an/2023033Abstract
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.