Publications in Scientific Journals:
J. Kraus, P. Lederer, M. Lymbery, J. Schöberl:
"Uniformly well-posed hybridized discontinuous Galerkin/hybrid mixed discretizations for Biotīs consolidation model";
Computer Methods in Applied Mechanics and Engineering,
384
(2021),
113991;
23 pages.
English abstract:
We consider the quasi-static Biotīs consolidation model in a three-field formulation with the three unknown physical quantities of interest being the displacement of the solid matrix, the seepage velocity of the fluid and the pore pressure . As conservation of fluid mass is a leading physical principle in poromechanics, we preserve this property using an -conforming ansatz for and together with an appropriate pressure space. This results in Stokes and Darcy stability and exact, that is, pointwise mass conservation of the discrete model.
"Official" electronic version of the publication (accessed through its Digital Object Identifier - DOI)
http://dx.doi.org/10.1016/j.cma.2021.113991
Created from the Publication Database of the Vienna University of Technology.