Tian Yang1, Leiting Dong1,*, Satya N. Atluri2
The International Conference on Computational & Experimental Engineering and Sciences, Vol.21, No.4, pp. 76-76, 2019, DOI:10.32604/icces.2019.05078
Abstract In this paper, a new method, named the Fragile Points Method (FPM), is developed for computer modeling in engineering and sciences. In the FPM, simple, local, polynomial, discontinuous and Point-based trial and test functions are proposed based on randomly scattered points in the problem domain. The local discontinuous polynomial trial and test functions are postulated by using the Generalized Finite Difference method. These functions are only piece-wise continuous over the global domain. By implementing the Point-based trial and test functions into the Galerkin weak form, we define the concept of Point Stiffnesses as the contribution of each Point in the… More >
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