<i>A posteriori</i> error estimation and adaptivity for multiple-network poroelasticity

Journal article

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.publishedVersio

Authors: Eliseussen, E; Rognes, ME; Thompson, TB

• Publication status: Published
• Peer review status: Peer reviewed
• Publisher: EDP Sciences
• Journal: ESAIM: Mathematical Modelling and Numerical Analysis
• Volume: 57
• Issue: 4
• Pages: 1921-1952
• Publication date: 2023-04-28
• DOI: 10.1051/m2an/2023033
• EISSN: 2804-7214
• ISSN: 2822-7840
• Language: English
• Keywords: Porous medium; Mathematical optimization; Residual; Estimator; Computer science; Statistics; Poromechanics; Mathematics; Geology; A priori and a posteriori; Set (abstract data type); Applied mathematics; Algorithm; Context (archaeology)