Finite element approximation for the unsteady flow of implicitly constituted incompressible fluids
<p>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. </p> <p>The constitutive law between shear stress tensor and shear rate tensor is encoded by...
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| Format: | Thesis |
| Language: | English |
| Published: |
2018
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| Summary: | <p>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. </p> <p>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. </p> <p>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. </p> |
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