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Constructing graphs over $R^n$ with small prescribed mean-curvature
$R^n$ with small prescribed mean-curvature
2010/12/1
In this paper a convergent series expansion is constructed to solve the prescribed mean curvature equation ±∇·(∇u/p1 ± |∇u|2) = nH for n-dimensional hypersurfaces in Rn+1 (+ sign) an...
ALGEBRAIC-GEOMETRY FOUNDATION FOR CONSTRUCTING SMOOTH INTERPOLANTS ON CURVED SIDES ELEMENT
2007/12/11
The aim of this paper is to lay a algebraic geometry foundation for
constructing smoothing interpolants on curved side element.
Some interpolation theorems in polynomial space are given. The main re...