A posteriori error estimation and adaptivity for multiple-network poroelasticity
Abstract
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.
Cite
@article{arxiv.2111.13456,
title = {A posteriori error estimation and adaptivity for multiple-network poroelasticity},
author = {Emilie Eliseussen and Marie E. Rognes and Travis B. Thompson},
journal= {arXiv preprint arXiv:2111.13456},
year = {2022}
}
Comments
Author names appear in alphabetical order in accordance with the standard convention of the mathematical sciences. All authors contributed equally to both the research and the writing of this work