Goal-oriented adaptive composite discontinuous Galerkin methods for incompressible flows

Giani, Stefano and Houston, Paul (2014) Goal-oriented adaptive composite discontinuous Galerkin methods for incompressible flows. Journal of Computational and Applied Mathematics, 270 . pp. 32-42. ISSN 0377-0427

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Abstract

In this article we consider the application of goal-oriented mesh adaptation to problems posed on complicated domains which may contain a huge number of local geometrical features, or micro-structures. Here, we exploit the composite variant of the discontinuous Galerkin finite element method based on exploiting finite element meshes consisting of arbitrarily shaped element domains. Adaptive mesh refinement is based on constructing finite element partitions of the domain consisting of agglomerated elements which belong to different levels of an underlying hierarchical tree data structure. As an example of the application of these techniques, we consider the numerical approximation of the incompressible Navier-Stokes equations. Numerical experiments highlighting the practical performance of the proposed refinement strategy will be presented.

Item Type: Article
Keywords: Composite finite element methods, Discontinuous Galerkin methods, A posteriori error estimation, Adaptivity, Incompressible flows
Schools/Departments: University of Nottingham UK Campus > Faculty of Science > School of Mathematical Sciences
Identification Number: https://doi.org/10.1016/j.cam.2014.03.007
Depositing User: Houston, Paul
Date Deposited: 26 Aug 2015 10:13
Last Modified: 13 Sep 2016 15:02
URI: http://eprints.nottingham.ac.uk/id/eprint/29670

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