Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4964217 | Computer Methods in Applied Mechanics and Engineering | 2017 | 38 Pages |
Abstract
We study the application of the Isogeometric Finite Cell Method (IGA-FCM) to mixed formulations in the context of the Stokes problem. We investigate the performance of the IGA-FCM when utilizing some isogeometric mixed finite elements, namely: Taylor-Hood, Sub-grid, Raviart-Thomas, and Nédélec elements. These element families have been demonstrated to perform well in the case of conforming meshes, but their applicability in the cut-cell context is still unclear. Dirichlet boundary conditions are imposed by Nitsche's method. Numerical test problems are performed, with a detailed study of the discrete inf-sup stability constants and of the convergence behavior under uniform mesh refinement.
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Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
Tuong Hoang, Clemens V. Verhoosel, Ferdinando Auricchio, E. Harald van Brummelen, Alessandro Reali,