Original title: Parallel implementation of immersed boundary adaptive FEM or how to avoid mesh generation in a mesh-based method
Authors: Šístek, Jakub
Document type: Papers
Language: eng
Publisher: Vysoké učení technické v Brně, Fakulta strojního inženýrství
Abstract: Finite element method (FEM) typically relies on computational meshes composed of elements forming a nonoverlapping partition of the computational domain. However, generating these meshes of suficient quality can be challenging and time-consuming, especially for very complex geometries used, e.g. in 3D printing. As a potential remedy, ideas of the immersed boundary method have been incorporated into FEM. We present a parallel implementation of an immersed boundary adaptive FEM. In order to achieve suficient resolution at the boundary, local mesh refinement driven towards boundary is used. For large meshes distributed over a large number of processors, the resulting systems have to be solved by parallel iterative solvers. We present the method and demonstrate its performance for a complex problem of linear elasticity with meshes refined adaptively towards the area with the largest stress for achieving better accuracy within these regions.
Keywords: adaptive mesh refinement; domain decomposition methods; immersed finite elements
Host item entry: Vzpomínkové odpoledne a seminář Metoda konečných prvků dnes ke 100. výročí narození profesora Miloše Zlámala, ISBN 978-80-214-6392-9

Institution: Brno University of Technology (web)
Document availability information: Fulltext is available in the Brno University of Technology Digital Library.
Original record: https://hdl.handle.net/11012/255705

Permalink: http://www.nusl.cz/ntk/nusl-692597


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