The finite point method for the p-Laplace equation

Tatari, Mehdi; Kamranian, Maryam; Dehghan, Mehdi
December 2011
Computational Mechanics;Dec2011, Vol. 48 Issue 6, p689
Academic Journal
In this paper, the finite point method (FPM) is presented for solving the 2D, nonlinear, elliptic p-Laplace or p-harmonic equation. The FPM is a truly meshfree technique based on the combination of the moving least squares approximation on a cloud of points with the point collocation method to discretize the governing equation. The lack of dependence on a mesh or integration procedure is an important feature, which makes the FPM simple, efficient and applicable to solve nonlinear problems. Applications are demonstrated through illustrative examples.


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