Article ID Journal Published Year Pages File Type
473535 Computers & Mathematics with Applications 2008 13 Pages PDF
Abstract

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.

Related Topics
Physical Sciences and Engineering Computer Science Computer Science (General)
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