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

Kraus M, Rajagopal A, Steinmann P (2013)


Publication Type: Journal article

Publication year: 2013

Journal

Publisher: Elsevier

Book Volume: 120

Pages Range: 33-46

DOI: 10.1016/j.compstruc.2013.01.017

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. © 2013 Elsevier Ltd. All rights reserved.

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How to cite

APA:

Kraus, M., Rajagopal, A., & Steinmann, P. (2013). Investigations on the polygonal finite element method: Constrained adaptive Delaunay tessellation and conformal interpolants. Computers & Structures, 120, 33-46. https://dx.doi.org/10.1016/j.compstruc.2013.01.017

MLA:

Kraus, Markus, Amirtham Rajagopal, and Paul Steinmann. "Investigations on the polygonal finite element method: Constrained adaptive Delaunay tessellation and conformal interpolants." Computers & Structures 120 (2013): 33-46.

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