A discrete scheme of Laplace-Beltrami operator and its convergence over quadrilateral meshes

@article{Liu2008ADS,
  title={A discrete scheme of Laplace-Beltrami operator and its convergence over quadrilateral meshes},
  author={Dan Liu and Guoliang Xu and Qin Zhang},
  journal={Computers & Mathematics with Applications},
  year={2008},
  volume={55},
  pages={1081-1093}
}
Laplace–Beltrami operator and its discretization play a central role in the fields of image processing, computer graphics, computer aided geometric design and so on. In this paper, a discrete scheme for Laplace–Beltrami operator over quadrilateral meshes is constructed based on a bilinear interpolation of the quadrilateral. Convergence results for the proposed discrete scheme are established under some conditions. Numerical results which justify the theoretical analysis are also given. c © 2007… CONTINUE READING
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