USING THE HESSIAN RECONSTRUCTION TECHNIQUE WHEN BUILDING ADAPTIVE GRIDS
Yu. V. Vasilevsky, K. N. Lipnikov
VANT. Ser.: Mat. Mod. Fiz. Proc 2006. Вып.3. С. 37-53.
Three problem classes occurring when building anisotropic adaptive grids are considered. The tie-link of these problems is the reconstructed Hessian of grid function. Using the discrete Hessian allows: a) building grids which optimal in the terms of minimization of some error norm, b) managing the grid adaptation process to build grids with predetermined properties; c) building piecewise quadratic recoveries of triangulated piece-wise linear surfaces. The main properties of the proposed methods are illustrated by numerical examples.
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English
