Book
Convergence of the Cotangent Formula: An Overview.
| Title: | Convergence of the Cotangent Formula: An Overview. |
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| Authors: | Bobenko, Alexander I., Sullivan, John M., Schröder, Peter, Ziegler, Günter M., Wardetzky, Max |
| Source: | Discrete Differential Geometry; 2008, p275-286, 12p |
| Abstract: | The cotangent formula constitutes an intrinsic discretization of the Laplace-Beltrami operator on polyhedral surfaces in a finite-element sense. This note gives an overview of approximation and convergence properties of discrete Laplacians and mean curvature vectors for polyhedral surfaces located in the vicinity of a smooth surface in euclidean 3-space. In particular, we show that mean curvature vectors converge in the sense of distributions, but fail to converge in L2. [ABSTRACT FROM AUTHOR] |
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| DOI: | 10.1007/978-3-7643-8621-4_15 |
| Database: | Complementary Index |
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