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Article overview
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Refined Meshless Local Strong Form solution of Cauchy-Navier equation on an irregular domain | | Jure Slak
; Gregor Kosec
; | | Date: |
22 Feb 2019 | | Abstract: | This paper considers a numerical solution of a linear elasticity problem,
namely the Cauchy-Navier equation, using a strong form method based on a local
Weighted Least Squares (WLS) approximation. The main advantage of the employed
numerical approach, also referred to as a Meshless Local Strong Form method, is
its generality in terms of approximation setup and positions of computational
nodes. In this paper, flexibility regarding the nodal position is demonstrated
through two numerical examples, i.e. a drilled cantilever beam, where an
irregular domain is treated with a relatively simple nodal positioning
algorithm, and a Hertzian contact problem, where again, a relatively simple
h-refinement algorithm is used to extensively refine discretization under the
contact area. The results are presented in terms of accuracy and convergence
rates, using different approximations and refinement setups, namely Gaussian
and monomial based approximations, and a comparison of execution time for each
block of the solution procedure. | | Source: | arXiv, 1902.8484 | | Services: | Forum | Review | PDF | Favorites | |
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