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Cheng, Rongjun; Cheng, Yumin

Error estimates for the finite point method. (English) Zbl 1145.65086

Appl. Numer. Math. 58, No. 6, 884-898 (2008).
An error estimate for the finite point method is shown. Numerical experiments are shown for a 2D elliptic problem on a square domain.
Reviewer: Petr Sváček (Praha)

Cited in 50 Documents

MSC:

65N15 Error bounds for boundary value problems involving PDEs
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
35J25 Boundary value problems for second-order elliptic equations

Keywords:

moving least-squares approximations; meshless method; error estimate; finite point method; numerical experiments; 2D elliptic problem
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\textit{R. Cheng} and \textit{Y. Cheng}, Appl. Numer. Math. 58, No. 6, 884--898 (2008; Zbl 1145.65086)
Full Text: DOI

References:

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