Refined RBF-FD Solution of Linear Elasticity Problem

  J. Slak, G. Kosec

Published in Proceedings of the 3rd International Conference on Smart and Sustainable Technologies, SpliTech 2018, June 26–29, 2018, Split, Croatia, 2018, URL  .

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Abstract

Solving PDEs with Radial Basis Functions, especially using local approaches, has become a promising alternative to the Finite Element Method. This paper describes one such approach, a local RBF-FD method, analogous to Finite Difference Method, that can handle irregular geometries, varying discretization densities and is easy to implement. RBF-FD method is analysed by solving basic linear elasticity problems using uniform and refined discretizations. Finally, a linear elasticity problem arising from analysis of fretting fatigue is solved and RBF-FD solution is compared to existing solutions, obtained using commercial software.

BiBTeX

J. Slak and G. Kosec, Refined RBF-FD solution of linear elasticity problem, in: Proceedings of the 3rd International Conference on Smart and Sustainable Technologies, SpliTech 2018, June 26–29, 2018, Split, Croatia (ed. T. Perković), FESB, University of Split, 2018, pp. 393-398.