Investigations on the polygonal finite element method: Constrained adaptive Delaunay tessellation and conformal interpolants

Markus, K and Amirtham, Rajagopal and Paul, S (2013) Investigations on the polygonal finite element method: Constrained adaptive Delaunay tessellation and conformal interpolants. Computers and Structures, 120. pp. 33-46. ISSN 0045-7949

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Abstract

We present a polygonal finite element method based on constrained adaptive Delaunay tessellation and conformal interpolants on arbitrary polygons. For mesh generation we use the adaptive Delaunay tessellation, an unstructured hybrid tessellation of a scattered point set that minimally covers the proximal space around each point, which is here extended to non-convex domains. Various types of polygonal interpolants are implemented. For the numerical integration of the Galerkin weak form we resort to classical Gaussian quadrature applied on triangular subdomains. The performance and efficiency of the interpolation and implementation are investigated for two dimensional elasticity in a stochastical analysis on random and regular meshes.

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IITH Creators:	IITH Creators ORCiD Amirtham, Rajagopal UNSPECIFIED
Item Type:	Article
Uncontrolled Keywords:	Polygonal finite element; Constrained adaptive Delaunay tessellation; Polygonal interpolation; Patch test
Subjects:	Civil Engineering > Soil Structure Interaction
Divisions:	Department of Civil Engineering
Depositing User:	Users 3 not found.
Date Deposited:	22 Sep 2014 05:51
Last Modified:	29 Aug 2017 10:39
URI:	http://raiithold.iith.ac.in/id/eprint/31
Publisher URL:	https://doi.org/10.1016/j.compstruc.2013.01.017
OA policy:	http://www.sherpa.ac.uk/romeo/issn/0045-7949/
Related URLs:	Google Scholar

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