WEB-spline based mesh-free finite element analysis for the heat equation and the time-dependent Navier–Stokes equation: A survey

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Abstract

In this article, we give some numerical techniques and error estimates using web-spline based mesh-free finite element method for the heat equation and the time-dependent Navier–Stokes equations on bounded domains. The web-spline method uses weighted extended B-splines on a regular grid as basis functions and does not require any grid generation. We demonstrate the method by providing numerical results for the Poisson's and stationary Stokes equation. © 2012 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2013

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