PRELIMINARY VERSION Finite elements for the Laplace-Beltrami equation on parametric surfaces
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چکیده
In this paper we make a thorough study of the use of the finite element method to numerically compute harmonic maps from parametric surfaces to the plane. There are essentially two choices to be made in the FE method: (1) which elements and (2) which quadrature. We show that by using linear elements and point-based linear quadrature the method reduces to the cotangent method studied by Dziuk, Polthier and others. We are thus able to give a new convergence analysis of this method.
منابع مشابه
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تاریخ انتشار 2006