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Title: Finite element approximation for the unsteady flow of implicitly constituted incompressible fluids
Author: Tscherpel, Tabea
ISNI:       0000 0004 7652 9007
Awarding Body: University of Oxford
Current Institution: University of Oxford
Date of Award: 2018
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This thesis provides qualitative convergence results of a sequence of numerical approximate solutions for the flow of incompressible fluids subject to an implicit constitutive relation. The constitutive law between shear stress tensor and shear rate tensor is encoded by a (t,x)-dependent maximal monotone graph with q-growth, for q > 1. For the finite element approximation, the assumptions result in a pair of (conforming) inf-sup stable finite element spaces for the velocity and the pressure and in the unsteady case a fully discrete approximation based on backward Euler time-stepping is investigated.
Supervisor: Süli, Endre Sponsor: Engineering and Physical Sciences Research Council
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available