# A finite point method in computational mechanics. applications to convective transport and fluid flow

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### Cites methods from "A finite point method in computatio..."

...A �nite point method (FPM) [ 10 ] was proposed to construct the basis functions through a local Taylor expansion....

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833 citations

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### Cites methods from "A finite point method in computatio..."

...…how matrix and least-squares methods can be used to define consistent, higher-order gradient operators, and renormalization schemes can be used to eliminate the zeroth-order errors of methods like SPH (see e.g. Dilts 1999; Oñate et al. 1996; Kuhnert 2003; Tiwari & Kuhnert 2003; Liu et al. 2005)....

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...Here, we can use locallycentered least-squares matrix gradient operators, which have been described in many previous numerical studies (Dilts 1999; Oñate et al. 1996; Kuhnert 2003; Maron & Howes 2003; Maron et al. 2012; Tiwari & Kuhnert 2003; Liu et al. 2005; Luo et al. 2008; Lanson & Vila 2008a,b)....

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...16 By FPM, we refer to the “Finite Point Method” in e.g. Oñate et al. (1996); this includes methods referred to as “finite pointset methods” and “Lagrangian finite point methods” in e.g. Kuhnert (2003); Tiwari & Kuhnert (2003), as well as the “finite particle method” of Liu et al. (2005). problem....

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