Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
473535 | Computers & Mathematics with Applications | 2008 | 13 Pages |
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.
Keywords
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
Dan Liu, Guoliang Xu, Qin Zhang,