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KIAM Preprint № 21, Moscow, 2003
Authors: Petrovskaya N.B.
The Impact of Grid Cell Geometry on the Least-Squares Gradient Reconstruction.
Abstract:
We consider the problem of the least-squares approximation on two-dimensional unstructured grids with 'bad' cells. We discuss how the accuracy of the least-squares approximation depends on the cell geometry. We analyze a simple geometry and demonstrate that introducing weight coefficients into the problem may help to essentially improve the accuracy of the least-squares approximation. Based on the results of our analysis, a heuristic choice of the weights in a general least-squares procedure is suggested. Our approach is illustrated by numerical tests.
Publication language: russian,  pages: 15
Research direction:
Mathematical problems and theory of numerical methods
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About authors:
  • Petrovskaya N. B.,  KIAM RAS