A posteriori error estimation and adaptivity for multiple-network poroelasticity

Autor:	Eliseussen, Emilie, Rognes, Marie E., Thompson, Travis B.
Rok vydání:	2021
Předmět:	Mathematics - Numerical Analysis Quantitative Biology - Tissues and Organs 65M60 (Primary) 92B05 (Secondary) G.1.8 G.1.10 J.3
Druh dokumentu:	Working Paper
Popis:	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. Comment: 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
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2111.13456 Zobrazit plný text záznamu View this record from Arxiv